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In order to deal with climate change and variability, many cities around the world have developed strategies to promote sustainable urban development (the “green agenda”), and in more recent years, urban resilience and adaptation (the “blue agenda”). In the past couple of decades, “eco-districts” have become an increasingly popular urban strategy for furthering the green agenda, the Ecoquartier Program in France being one prominent example that aims at producing districts that are ecological, sustainable and innovative. But what about the blue agenda? This discussion paper explores to what extent France's Ecoquartier Program helps to facilitate the integration of resilience, adaptation, disaster preparedness and risk reduction. It describes the evolution of the Ecoquartier Program, the various requests for proposal, the Ecoquartier Label, and design teams' responses to show the gradual incorporation and promotion of these concepts. It also uses an example of a certified and recognized ecoquartier project in Paris, the Clichy-Batignolles ecoquartier, to highlight the convergence of the green and blue agendas towards a “turquoise agenda”. Finally, it discusses how the Ecoquartier Program could help contribute to resilient city-making at the national scale.

This paper is concerned with the existence of an eigenvalue for a p(x)-biharmonic Kirchhoff problem with Navier boundary condition. Under some suitable conditions, we establish that any λ > 0 is an eigenvalue . The proofs combine variational methods with energy estimates. The main results of this paper improve and generalize the previous one introduced by Kefi and Radulescu (Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), 439-463).

Moment functions play a basic role in probability theory. A natural generalization can be defined on hypergroups which leads to the concept of generalized moment function sequences. In a former paper we studied some function classes on hypergroup joins which play a basic role in spectral synthesis. Moment functions are also important basic blocks of spectral synthesis. All these functions can be characterized by well-known functional equations. In this paper we describe generalized moment function sequences on hypergroup joins.

International audience; In this paper, my aim is to show how edifying it can be to adhere to the concept of resilience proffered by C. S. Holling in order to better understand the complexity in which urban environments evolve. To do so, I study here the example of the Parisian street network during the Medieval and Early Modern periods. I show to what extent this network as well as the type of shops along certain streets remained stable over the long term, while also demonstrating that changes were indeed very frequent when one considers the buildings themselves. This apparent paradox can be explained by complex interactions that resilience can help to explore. I show in the third part of this paper that identifying the system of resiliency that produces stability in the Parisian street network leads to an understanding of the socioeconomic mechanisms behind the observations made at different levels.; Dans cet article, je souhaite montrer combien il peut être heuristique de rester proche du concept de résilience tel qu'il a été défini par C. S. Holling, lorsque l'on souhaite comprendre la complexité de l'évolution des paysages urbains. Pour ce faire, j'étudie ici le cas du réseau de rues parisiennes durant l'époque médiévale et moderne. Je montre dans quelle mesure ce réseau reste stable sur le long terme tout comme l'est le type d'activités que l'on pratique dans ces rues, alors que dans le même temps, les changements sont très fréquents à l'échelle des bâtiments. Cet apparent paradoxe s'explique par de complexes interactions que le concept de résilience peut aider à explorer. Je montre en effet dans la dernière partie de cet article que chercher le système résilient, qui aboutit à la stabilité du réseau de rues parisien, aide à comprendre quels sont les mécanismes socio-économiques qui sont à l'origine des observations réalisées. Je pose ainsi l'hypothèse que la stabilité du réseau viaire parisien est, entre autres, une conséquence de la résilience du système productif et commercial aux périodes médiévale et moderne : le client achète les produits qu'il souhaite au boutiquier, qui est très souvent impliqué dans leur fabrication et qui peut donc adapter sa marchandise aux désirs des clients. Les rues sont les lieux des échanges commerciaux. Tant que ces deniers se déroulent de la même manière, le réseau des rues a de fortes chances de rester stable.

International audience; Companies trying to build new solutions using blockchain are confronted with a plethora of available concurrent technologies that have many control knobs which require fine-tuning by experts. Exiting studies that build decision models for blockchain adoption or selection lack an automated way to use non-functional requirements to provide recommendations. This article, extended from previous works, introduces BLADE (BLockchain Automated DEcision Engine), a decision support tool for blockchain to better take into account high level requirements and preferences for recommendations. From documentations, white papers and academic papers, a knowledge base of blockchain solutions is constructed. This allows BLADE to execute an automated multi-criteria decision process giving the most relevant solution based on requirements and preferences, extracted from the ISO 25010 software quality standard. An implementation of this tool is performed within a web platform allowing the easy capture of user requirements and preferences for recommendation. Finally, the proposed approach is validated on a supply chain management case study. This study is a first step in order to design a solution allowing the design and implementation of end-to-end blockchain applications. While still limited in scope, BLADE will include more blockchain alternatives and more flexible requirements inputs in future work.; Les entreprises souhaitant déployer des solutions basées sur la blockchain sont confrontées à une pléthore de technologies concurrentes ayant chacun un grand nombre de paramètres propres devant être ajustés par un expert. Les études existantes proposant des modèles de décision pour blockchain ne proposent pas de solution pour le choix des paramètres assurant la mise en oeuvre automatique des exigences non-fonctionnelles. Cet article, version étendue de précédents travaux, présente BLADE (BLockchain Automated DEcision Engine), un outil d'aide à la décision pour blockchain permettant de mieux prendre en compte les exigences de haut niveau et préférences. Tout d'abord, une base de connaissances de solutions blockchain est construite à partir de documentations, de livres blancs et de travaux de recherche académiques. Celle-ci permet à BLADE d'exécuter un processus de décision multicritère automatisé donnant la solution la plus pertinente à partir d'exigences et préférences, extraites de la norme de qualité logicielle ISO 25010. L'implémentation de cet outil est ensuite réalisée au sein d'une plateforme web permettant la saisie aisée des exigences et des préférences de l'utilisateur. Enfin, l'approche proposée est validée grâce à un cas d'étude de gestion de chaîne logistique. Cette étude est une première étape afin de concevoir une solution permettant la conception et l'implémentation d'applications blockchain de bout-en-bout.

The Internet of Things (IoT) is an emerging technology with a huge potential for a very wide applicability. “IoT can be defined as an intelligent pervasive environment, based on a continuing proliferation of intelligent networks, wireless sensors and a massive data centers; the basic idea of IoT is that, virtually every small or large physical thing in this world can be a computer connected to the Internet. There are many fields of research on IoT technology with a wide number of application domains”. In this paper, we had interested to smart systems based on IoT technology. We have proposed a new smart multitenant solution based on IoT and cloud computing technologies which push classic systems (agricultural, healthcare or industrial) to be connected, and enhanced with a system offering a Web Application (Dashboard) to monitor, supervise and control an important number of objects (machine or human) geographically separated. In this paper, we propose an IoT based generic solution for smart systems and we have implemented and tested it on two study cases (Agriculture, industy).

This paper first argues that the driving force behind the aggregation of human settlement, throughout the centuries, has been the ever-increasing need for collective problem solving. Villages and cities have emerged in ‘dissipative flow structures' in which organization (information processing capacity) spread out from cities into their hinterland, enabing energy and other resources to increasingly flow into cities to meet the needs of the population. Information processing is thus the driver of urbanization, and energy is the constraint. With the Industrial Revolution, the growth of such dissipative flow structures accelerated very rapidly due to the fact that fossil energy became available and lifted the constraint. Hence the urban explosion of the last couple of centuries. In the second part of the paper, some of the potential consequences of this explosion are discussed. First, whether the ever accelerating increase of global urbanization will continue or not, and then what might be the consequences of that acceleration for urban planning and architecture, emphasizing that cities need to become pro-active rather than re-active. They need to start designing for change rather than responding to it. In a final section we discuss some of the risks to urbanization that are posed by the Information and Communication Technology (ICT) Revolution, and conclude with a suggestion how, in developed countries, information technology might reverse the trend to increasing concentration of the population in cities, whereas for the moment, this is not likely to be the case in developing countries.

This paper provides technical and conceptual information on a swarm art project called Sleep Paintings. The project consists of a series of colour images generated by an ant-based clustering algorithm operating with sleep data sets extracted from electroencephalogram (EEG) signals. The algorithm was originally proposed for clustering and classification and is described by a simple set of equations that model the local behavior of artificial ants (data samples) in a way that, when travelling on a heterogeneous 2-dimensional lattice of vectors, they form clusters of similar data samples, while changing the vectors of the environmental lattice. The 2-dimensional colored abstract sketches of human sleep described in the paper result from the visualization of the lattice.

In this paper, we discuss the existence of symmetric positive solutions for the systems of higher-order boundary value problems on time scales. Our results extend some recent work in the literature. The analysis of this paper mainly relies on the monotone iterative technique.

This paper presents a new generalization of the Genocchi numbers and the Genocchi theorem. As consequences, we obtain some important families of integer-valued polynomials those are closely related to the Bernoulli polynomials. Denoting by ${(B_n)}_{n \in \mathbb{N}}$ the sequence of the Bernoulli numbers and by ${(B_n(X))}_{n \in \mathbb{N}}$ the sequence of the Bernoulli polynomials, we especially obtain that for any natural number $n$, the reciprocal polynomial of the polynomial $\big(B_n(X) - B_n\big)$ is integer-valued., Comment: 12 pages

Let $X=U/K$ be a compact Hermitian symmetric space, and let $\sE$ be a $U$-homogeneous Hermitian vector bundle on $X$. In a previous paper, we showed that the space of nearly holomorphic sections is well-adapted for harmonic analysis in $L^2(X,\sE)$ provided that non-trivial nearly holomorphic sections do exist. Here we investigate the problem of extending local nearly holomorphic sections to global ones and prove the existence of non-trivial nearly holomorphic sections. This extends the results on the $U$-type decomposition of $L^2(X,\sE)$ from our previous paper., 20 pages

Main objective of the present paper is to prove solvability of the Dirichlet, Neumann and Mixed boundary value problems for an anisotropic Laplace-Beltrami equation on a hypersurface $$${C}$$$ with the Lipschitz boundary $$${\Gamma=∂C}$$$ in the classical $$${𝕎^1(C)}$$$ space setting.

An evolutionary game is usually identified by a smooth (possibly nonlinear) payoff function. In this paper, we propose a model of evolutionary game in which the nonlinear payoff functions are defined by the Ricker models. Namely, in the proposed model, the biological fitness of the pure strategy will increase according to the Ricker model. Motivated by some models of economics of transportation and communication networks, in order to observe the evolutionary bifurcation diagram, we also control the nonlinear payoff functions in two different regimes: positive and negative. One of the interesting feature of the model is that if we switch the controlling parameter from positive to negative regime then the set of local evolutionarily stable strategies (ESSs) changes from one set to another one. We also study the dynamics and stability analysis of the discrete-time replicator equation governed by the proposed nonlinear payoff function. In the long-run time, the following scenario can be observed: (i) in the positive regime, the active dominating pure strategies will outcompete other strategies and only they will survive forever; (ii) in the negative regime, all active pure strategies will coexist together and they will survive forever.

This paper is devoted to the study of the nonhomogeneous problem $$$ -div (a(|\nabla u|)\nabla u)+a(| u|)u=\lambda V(x)|u|^{m(x)-2}u-\mu g(x,u) \mbox{ in} \ \Omega, \ u=0 \mbox{ on} \ \partial\Omega ,$$$ where $$$\Omega$$$ is a bounded smooth domain in $$$\mathbb{R}^N,\lambda, \mu$$$ are positive real numbers, $$$V(x)$$$ is a potential, $$$ m: \overline{ \Omega} \to (1, \infty)$$$ is a continuous function, $$$a$$$ is mapping such that $$$ \varphi(|t|)t$$$ is increasing homeomorphism from ℝ to ℝ and $$$g: \overline{\Omega}\times ℝ \to ℝ$$$ is a continuous function. We establish there main results with various assumptions, the first one asserts that any $$$\lambda$$$0> is an eigenvalue of our problem. The second Theorem states the existence of a constant $$$\lambda^{*}$$$ such that every $$$\lambda \in (0,\lambda^{*})$$$ is an eigenvalue of the problem. While the third Theorem claims the existence of a constant $$$\lambda^{**}$$$ such that every $$$\lambda \in [\lambda^{**},\infty)$$$ is an eigenvalue of the problem. Our approach relies on adequate variational methods in Orlicz-Sobolev spaces.

In this paper, we consider the following inhomogeneous nonlinear Schrodinger equation (INLS) $$$i\partial_t u + \Delta u + \mu$$$ |$$$x$$$|$$$^{-b}$$$|$$$u$$$|$$$^\alpha u = 0, \quad (t,x)\in ℝ \times ℝ^d$$$ with $$$b, \alpha$$$ > 0. First, we revisit the local well-posedness in $$$H^1(ℝ^d)$$$ for (INLS) of Guzman [Nonlinear Anal. Real World Appl. 37 (2017), 249-286] and give an improvement of this result in the two and three spatial dimensional cases. Second, we study the decay of global solutions for the defocusing (INLS), i.e. $$$\mu=-1$$$ when 0 < $$$\alpha$$$ < $$$\alpha^\star$$$ where $$$\alpha^\star = \frac{4-2b}{d-2}$$$ for $$$d\geq 3$$$, and $$$\alpha^\star = \infty$$$ for $$$d=1, 2$$$ by assuming that the initial data belongs to the weighted $$$L^2$$$ space $$$\Sigma =\{u \in H^1(ℝ^d) :$$$ |$$$x$$$|$$$ u \in L^2(ℝ^d) \}$$$. Finally, we combine the local theory and the decaying property to show the scattering in $$$\Sigma$$$ for the defocusing (INLS) in the case $$$\alpha_\star$$$ < $$$\alpha$$$ < $$$\alpha^\star$$$, where $$$\alpha_\star = \frac{4-2b}{d}$$$.

The aim of this paper is to construct invariant regions of a generalized m-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix and nonhomogeneous boundary conditions and polynomial growth for the nonlinear reaction terms. Using the eigenvalues and eigenvectors of the diffusion matrix and the parabolicity conditions. So we prove the global existence of solutions using Lyapunov functional.

In this paper, we are interested in the study of the existence of positive solutions for the following nonlinear boundary value problem on the half-line:\left\{\begin{aligned} \displaystyle-u^{\prime\prime}(x)&\displaystyle=q(x)f(x% ,u,u^{\prime}),&&\displaystyle x\in(0,+\infty),\\ \displaystyle u^{\prime}(0)&\displaystyle=u^{\prime}(+\infty)=0,\end{aligned}\right.where {q:\mathbb{R^{+}}\rightarrow\mathbb{R^{+}}} is a positive measurable function such that {\int_{0}^{+\infty}q(x)\,dx=1} and {f:\mathbb{R}^{+}\times\mathbb{R}^{2}\rightarrow\mathbb{R}} is q-Carathéodory.

In this paper, we investigate the deterministic and stochastic prey-predator system with refuge. The basic local stability results for the deterministic model have been performed. It is found that all the equilibrium points except the positive coexisting equilibrium point of the deterministic model are independent of the prey refuge. The trivial equilibrium point, predator free equilibrium point and prey free equilibrium point are always unstable (saddle point). The existence and local stability of the coexisting equilibrium point is related to the prey refuge. The permanence and extinction conditions of the proposed biological model have been studied rigourously. It is observed that the stochastic effect may be seen in the form of decaying of the species. The numerical simulations for different values of the refuge values have also been included for understanding the behavior of the model graphically.

A non-trivial multi-norm structure based on the enveloping {C^{*}}-algebras will be discussed in this paper. The main example is group {C^{*}}-algebras on compact groups. Also a (generalizing) non-trivial multi-norm structure based on the Fourier and Fourier–Stieltjes algebras on compact groups will be given.

In this paper, we introduce an iterative scheme involving an inertial term and a step size independent of the operator norm for approximating a solution to a split variational inequality problem in a real Hilbert space. Furthermore, we prove a convergence theorem for the sequence generated by the proposed operator norm independent inertial accelerated iterative scheme. We applied our result to solve split convex minimization problems, split zero problem and further give a numerical example to demonstrate the efficiency of the proposed algorithm.

In this paper, we consider a Brück-type result for a homogeneous differential polynomial generated by a meromorphic function.

In this paper, we consider the Cauchy problem for the relativistic Enskog equation with near vacuum data for a hard sphere gas in the Robertson–Walker space-time. We prove an existence and uniqueness result of the global (in time) mild solution in a suitable weighted space. We also study the asymptotic behavior of the solution as well as the {L^{\infty}} -stability.

In this paper, we prove two theorems establishing the uniqueness of the derivatives of meromorphic functions{f^{{(k)}\vphantom{k}}}and{g^{{(k)}\vphantom{k}}}when they share two sets with least cardinalities. Our results improve some existing results of Fang–Lahiri, Banerjee–Bhattacharjee, Banerjee–Mallick and Banerjee–Chakraborty.

Let {(X,*)} be a hypergroup and let {w_{0}} be a fixed measure on X. In this paper we study the two functional equations \langle\delta_{x}*\delta_{y}*\omega_{0},g\rangle+\langle\delta_{x}*\delta_{% \check{y}}*\omega_{0},g\rangle=2g(x)g(y),\quad x,y\in X, and \langle\delta_{x}*\delta_{\check{y}}*\omega_{0},f\rangle-\langle\delta_{x}*% \delta_{y}*\omega_{0},f\rangle=2f(x)f(y),\quad x,y\in X, where {g,f:X\to\mathbb{C}} are continuous and bounded functions to be determined. We express the solutions of the two functional equations in terms of multiplicative maps on {(X,*)} . As an application we give the solution of the two functional equations on polynomial and Sturm–Liouville hypergroups.

In this paper, we study well-posedness, existence of a lower finite time blow-up bound and variants of controllability of the classical chemotaxis model in {\Omega\times(0,T)} , where {\Omega\subset\mathbb{R}^{N}} , {N=1,2,3} . The spatial domain restrictions allow the system with initial data in {L^{2}(\Omega)} to admit a solution in L^{\infty}[0,T;L^{2}(\Omega))\cap L^{2}(0,T;H^{1}(\Omega)) and to have the property that the gradient chemical solutions are uniformly bounded in {\Omega\times(0,T)} . A lower finite time blow-up bound of solutions in the norm of {L^{2}(\Omega)} is proved using the differential inequality technique. Furthermore, using Carleman estimates and appropriate energy functionals, we show that the model is null and approximate controllable at any finite time {T>0} with a single control in {L^{2}(\omega\times(0,T))} acting on the cell-density equation, linearized through a priori uniform boundedness of the chemical drift solutions, where {\omega\subset\Omega} is a non-empty open subset of Ω. Lastly, bang-bang-type controls for the problem are constructed.

In this paper, we consider the Timoshenko-type system with nonlinear boundary dissipation. We prove the existence and uniqueness of the solution and we establish an explicit and general decay result for a wide class of the relaxation function, which depends on the length of the beam.

In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives of arbitrary order. Our differential operator recovers as limiting cases the arbitrary order derivatives proposed by Caputo and by Caputo–Hadamard. Some properties are presented as well as the relation between this differential operator of arbitrary order and the Katugampola generalized fractional operator. As an application we prove the fundamental theorem of fractional calculus associated with our operator.

In the present paper, it is shown that if a prime ring R admits a generalized derivation f associated with a nonzero derivation d such that either f([x^{m},y^{n}])+[x^{m},y^{n}]\in Z(R)\quad\text{for all }x,y\in R or f([x^{m},y^{n}])-[x^{m},y^{n}]\in Z(R)\quad\text{for all }x,y\in R, then R is commutative. We apply this purely ring theoretic result to obtain commutativity of Banach algebras and prove that if A is a prime Banach algebra which admits a continuous linear generalized derivation f associated with a nonzero continuous linear derivation d such that either {f([x^{m},y^{n}])-[x^{m},y^{n}]\in Z(A)} or {f([x^{m},y^{n}])+[x^{m},y^{n}]\in Z(A)} for an integer {m=m(x,y)>1} and sufficiently many {x,y} in A, then A is commutative. A similar result is obtained for a unital prime Banach algebra A which admits a nonzero continuous linear generalized derivation f associated with a continuous linear derivation d such that {d(Z(A))\neq 0} satisfying either {f((xy)^{m})-x^{m}y^{m}\in Z(A)} or {f((xy)^{m})-y^{m}x^{m}\in Z(A)} for each {x\in G_{1}} and {y\in G_{2}} , where {G_{1},G_{2}} are open sets in A and {m=m(x,y)>1} is an integer: then A is commutative.

In this article, we correct the proof of the main theorem of Gordji’s paper [M. Eshaghi Gordji, n-Jordan homomorphisms, Bull. Aust. Math. Soc. 80 2009, 1, 159–164] by a different method and generalize Zelazko’s theorem to 4-Jordan homomorphisms by considering an extra condition.

International audience; This paper describes the advances in the TEEC project (Technologies Éducatives pour l’Enseignement en Contexte, in English: Educational technologies for teaching in context). This multidisciplinary project is at the intersection between context in learning and educational technologies. It aims at developing and experimenting a context effects-based pedagogical model involving learners and teachers from multiple geographical contexts, collaborating on common subjects with local specificities. The project also has for objective the development of digital tools to assist and participate in the elaboration of the pedagogical projects such as a context modeller and calculator (Mazcalc), an authoring system for learning scenarios and a context aware intelligent tutoring system. The elaboration and the analyses of experiments, as well as the design and the development of tools include research in multiple fields such as Computer Supported Collaborative Learning, Artificial intelligence, Instructional Design, Intelligent Tutoring Systems, Science Education and Contextualization. Finally, the research activity relies on the Design Based Research methodology (DBR) that allows the articulation of the project between all those disciplines and stakeholders.

The design of a Stirling machine requires the understanding of the processes that govern their operation to predict the optimum operating parameters of the machine. The modified simple model using the geometrical parameters of the FEMTO-ST engine model is applied in this paper to investigate the trend of losses with respect to operating frequency and charging pressure. The variation of pressure drops across the regenerator and heat exchangers have been investigated as functions of operating frequency and charging pressure in order to predict the extent of fluid friction losses. The share of different power and heat losses as well as their effects on cooling performance have been evaluated at the different operating frequencies and charging pressures. The share of fluid friction loss and loss due to regenerator imperfection increase with rotational speed and charging pressure.

Resilience is a highly controversial scientific concept that has been widely disseminated in international policies and frameworks. However, operationalizing resilience remains problematic. This paper aims to understand how local actors, in this case cities, implement the resilience imperative. We analyze 82 resilience strategies produced by the cities that have joined the 100 Resilient Cities network, supported by the Rockefeller Foundation. We show that, on the one hand, resilience is not a given baseline that guides urban policies, but a local construction adapted to the specificities and characteristics of each city. Resilience is place-based designed in a performative way, as local actors grasp it and give it content. On the other hand, rather than specific objectives, we argue that resilience provides a method for both recognizing vulnerability and transforming security governance, thereby changing the risk and threat management regime.

The concept of resilience, first introduced in 1973, has become a major conceptual tool in the environmental sciences, and more recently in the study of socio-environmental systems. In archaeology, however, it has not yet found as wide a use. This paper introduces and explains the concept, emphasizes its relationship to the Complex Systems paradigm and presents an example of its application to transformations observed in the field. Its most useful application in archaeology is the study of the long term (centuries or millennia) where the dynamics are slow but persistent. In such cases, it enables a relational and dynamic description of history and the emergence of novelty.

In this paper, we study varieties and characterize convolution operators on the algebras related to the new structures of KPC-hypergroups, which are a generalization of the classical ones.

In this paper, by employing a critical point theorem, we establish the existence of infinitely many solutions for fourth-order impulsive differential equations depending on two real parameters.

Alexandroff spaces are the topological spaces in which the intersection of arbitrary many open sets is open. Let T be an indecomposable tournament. In this paper, first, we associate a trivial topology to T. Then we define another topology on T, called the graphic topology of T, and we show that it is an Alexandroff topology. Our motivation is to investigate some properties of this topology.

Let G be a type 1 connected and simply connected solvable Lie group. The generalized moment map for π in {\widehat{G}} , the unitary dual of G, sends smooth vectors of the representation space of π to {{\mathcal{U}(\mathfrak{g})}^{*}} , the dual vector space of {\mathcal{U}(\mathfrak{g})} . The convex hull of the image of the generalized moment map for π is called its generalized moment set, denoted by {J(\pi)} . We say that {\widehat{G}} is generalized moment separable when the generalized moment sets differ for any pair of distinct irreducible unitary representations. Our main result in this paper provides a second proof of the generalized moment separability theorem for G.

The purpose of this paper is to study Ricci semisymmetric paracontact metric manifolds satisfying{\nabla_{\xi}h=0}and such that the sectional curvature of the plane section containing ξ equals a non-zero constantc. Also, we study paracontact metric manifolds satisfying the curvature condition{Q\cdot R=0}, whereQandRare the Ricci operator and the Riemannian curvature tensor, respectively, and second order symmetric parallel tensors in paracontact metric manifolds under the same conditions. Several consequences of these results are discussed.

In this paper, we propose an iterative algorithm for approximating a common fixed point of an infinite family of quasi-Bregman nonexpansive mappings which is also a solution to finite systems of convex minimization problems and variational inequality problems in real reflexive Banach spaces. We obtain a strong convergence result and give applications of our result to finding zeroes of an infinite family of Bregman inverse strongly monotone operators and a finite system of equilibrium problems in real reflexive Banach spaces. Our result extends many recent corresponding results in literature.

In this paper, we consider the system \left\{\begin{aligned} &\displaystyle{-}M_{1}\bigg{(}\int_{\Omega}\frac{\lvert% \nabla u\rvert^{p(x)}+\lvert u\rvert^{p(x)}}{p(x)}\,dx\biggr{)}(\Delta_{p(x)}u% -\lvert u\rvert^{p(x)-2}u)=\lambda a(x)\lvert u\rvert^{r_{1}(x)-2}u-\mu b(x)% \lvert u\rvert^{\alpha(x)-2}u&&\displaystyle\text{in }\Omega,\\ &\displaystyle{-}M_{2}\bigg{(}\int_{\Omega}\frac{\lvert\nabla v\rvert^{q(x)}+% \lvert v\rvert^{q(x)}}{q(x)}\,dx\biggr{)}(\Delta_{q(x)}v-\lvert v\rvert^{q(x)-% 2}v)=\lambda c(x)\lvert v\rvert^{r_{2}(x)-2}v-\mu d(x)\lvert v\rvert^{\beta(x)% -2}v&&\displaystyle\text{in }\Omega,\\ &\displaystyle u=v=0&&\displaystyle\text{on }\partial\Omega,\end{aligned}\right. where Ω is a bounded domain in {\mathbb{R}^{N}} ( {N\geq 2} ) with a smooth boundary {\partial\Omega} , {M_{1}(t),M_{2}(t)} are continuous functions and {\lambda,\mu>0} . We prove that for any {\mu>0} there exists {\lambda_{*}} sufficiently small such that for any {\lambda\in(0,\lambda_{*})} the above system has a nontrivial weak solution. The proof relies on some variational arguments based on Ekeland’s variational principle, and some adequate variational methods.

In this paper, we define various kinds of transitivity of maps onG-spaces. We obtain conditions onG-spaces and on maps for one type of transitivity to imply another type of transitivity. Giving several examples and proving various equivalences, we provide a complete description of the relationships among the different types of transitivities defined for maps onG-spaces.

The objective of the present paper is to develop a comprehensive theory of entropy in the realm of ags-space{(L,p)}involving the notion of a generalizeds-map, and to study dynamics of ap-preserving system{(L,p,\phi)}. It is obtained that the entropy ofp-preserving systems is isomorphism invariant, and also entropy of an invertiblep-preserving system vanishes provided the corresponding Rokhlin space admits a one-sided generator.

The object of the present paper is to study generalized Sasakian-space-forms satisfying the curvature condition{P(\xi,Y)\cdot W=0}. Moreover, ϕ-M-projectively semisymmetric and ϕ-pseudo-projectively semisymmetric generalized Sasakian-space-forms are also studied.

In this paper, first we introduce the categories of “n-ary hyperstructures” ({{\mathrm{HS}}_{n}}) and “n-ary hyperstructures with particular carriers and relations” ({{\mathrm{HSP}}_{n}}), and we prove that the categories of{{\mathrm{HS}}_{n}}and{{\mathrm{HSP}}_{n-1}}are isomorphic. Then we prove that the category of “{(n-1)}-ary hypergroupoids” ({{\mathrm{HG}}_{n-1}}) is a full subcategory of the category{{\mathrm{HS}}_{n}}and the category of “unary bindingn-ary algebra with particular properties” ({{\mathrm{UBA}}_{n}}) is a full subcategory of the category{{\mathrm{HSP}}_{n}}. Next, we define two functorsFandG, and show that the restriction of the functorFto the category{{\mathrm{HG}}_{n}}is an isomorphism of{{\mathrm{HG}}_{n}}onto{{\mathrm{UBA}}_{n}}, and the restriction of the functorGto the category{{\mathrm{UBA}}_{n}}is an isomorphism of{{\mathrm{UBA}}_{n}}onto{{\mathrm{HG}}_{n}}.

In this paper, it is shown that, if R is a ∗-ring containing a nontrivial self adjoint idempotent which admits a ∗-Lie higher derivable mapping L={Ln}n∈N, then there exists an element ZX,Y (depending on X and Y) in the center Z(R) such that Ln(X+Y)=Ln(X)+Ln(Y)+ZX,Y.

In this paper, using sub-supersolution argument, we prove some existence results on positive solution for a class of nonlocal elliptic systems with multiple parameters in bounded domains.

This paper presents a novel in situ measurement method of the total heat transfer coefficient on a building wall. The device developed is based on harmonic thermal load of the wall surface. In situ tests of the method were performed in a steady environment as well as in off-equilibrium conditions (generated using electrical heaters). The heat transfer coefficient was estimated to 7.5 and 9 W.m−2.K−1 respectively. A parametric analysis allows determining the optimum operating conditions. The results obtained were in good agreement with standard values found in the literature. Measurement uncertainties were evaluated and a simple analytical model of the device was also developed.

In this paper we shall find some sufficient conditions for a uniqueness polynomial to be a strong uniqueness polynomial, as this type of problem was never investigated by researchers earlier. We also exhibit some examples to substantiate our theorems.

Safety issues in nuclear power plant involve complex turbulent bubbly flows. To predict the behavior of these flows, the two-fluid approach is often used. Nevertheless, this model has been developed for the simulation of small spherical bubbles, considered as a dispersed field. To deal with bubbles with a large range of sizes, a multifield approach based on this two-fluid model has been proposed. A special treatment, called the Large Bubble Model (LBMo), has been implemented and coupled to the dispersed model. However, only laminar and isothermal flows were considered in previous papers. Thus, here, Large Eddy Simulations (LES) are investigated to model turbulence effects. For this purpose, the two-fluid model equations are filtered to highlight the specific subgrid terms. Then, an a priori LES study using filtered Direct Numerical Simulation (DNS) results is detailed. This analysis allows classifying these terms according to their relative weight and then concentrating the modelling efforts on the predominant ones. Five different turbulence models are compared. These results are finally used to perform true LES on a turbulent two-phase flow. Moreover, in order to tackle non-isothermal flows occurring in industrial studies, a new heat transfer model is implemented and validated to deal with phase change at large interfaces using the Large Bubble Model.