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In this article, we investigate a class of measure differential inclusions of evolution type involving non-autonomous operator with nonlocal condition defined on the half-line. By fixed point theorem, we first obtain some sufficient conditions to ensure the solution set is nonempty, compact, and Rδ{R}_{\delta }-set on compact interval. Subsequently, by means of the inverse limit method, we generalize the results on compact interval to noncompact interval. Finally, an example is given to demonstrate the effectiveness of obtained results.

Using the Internationalization of the Curriculum (IoC) model, this study analyses postgraduate educational programmes that contribute to internationalization in higher education at British and Sino-British transnational universities. The purpose is to explore postcolonial curricular design influences and opportunities. The study identified patterns based on content analysis of twelve programmes' goals, approaches, and course listings. The findings reflected noteworthy similarities with limited emphasis on the emerging paradigmatic shift of IoC. The study invited one programme director from each type of university to speak about the design intentions from an insider's perspective. The discovery was that both types of universities were driven, in part, by a response to global market trends rather than an ideological postcolonial design imperative. Semi-structured interviews of postgraduate Chinese students in the Sino-British university's programme were conducted to understand students' perceptions of learning and former pedagogical experiences. Students appreciated opportunities to explore indigenous knowledge and experiences to make the curriculum relevant and meaningful. They expressed a clear need to conduct independent discoveries without necessarily following the patterns established by Western scholars. The paper offers suggestions for constructing postcolonial learning environments. Implications for educational practices are discussed.

While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential equations with derivative terms are less considered. In this article, we propose a new class of p-Laplacian fractional differential equations with the Caputo derivatives. The multiplicity of weak solutions is proved by the variational method and critical point theorem. At the end of the article, two examples are given to illustrate the validity and practicality of our main results.

This qualitative case study investigates the technology-enhanced constructivist learning environment (CLE) for developing undergraduate English-majors' research abilities at a Chinese university. The faculty group attempted at transforming an English Writing course into BA Thesis Writing, supported by a free online learning management system (Moodle) with multi-faceted scenario, resources, tools and management. Situated in the broader context of the 10-year curriculum reform, two BA Thesis Writing classes from two semesters were examined using observation notes, interviews and student products. Findings show the CLE has enhanced the students' problem-based learning (PBL) processes and research ability development in terms of problem awareness, information literacy, reasoning and research designing. The CLE contributed to the whole learning experience by continuous instructional support, forum discussions, and information resources and tools. However, faculty tended to avoid teaching such a course because it is not only demanding but it clashes with norms of Chinese higher education in terms of professional values, pedagogical philosophy and institutional culture. The paper concludes by assessing the reform efforts' overall gains and challenges, and its implications for future technology integration in foreign language learning and teaching in China.

Haidian District is one of the few urban centers with advanced economic development, a large population but many geological hazards. The geological conditions in the northwestern mountainous area of Haidian District are complex with 37 kinds of geological hazards developed, including collapse (19), debris flow (9), unstable slope (8) and ground collapse (1). On the basis of field investigation and analysis, in this paper the geological hazards in Haidian District are divided into three risk areas: Xiangshan risk area, Fenghuangling-Yangtaishan risk area and Puandian risk area, and the spatial distribution, disaster type, scale, causes, threat objects, project management status, human engineering activities and development trend of geological hazards are analyzed and summarized. The following conclusions are drawn: 1) 70% of the hidden dangers in Haidian District are caused by human engineering activities. 2) Engineering control of 68% of the hidden danger points have been completed; most of the hidden danger points that have not been controlled are concentrated along the forest fire prevention road, and a small number of threat targets have been relocated. 3) Different types of geological disasters are developed in different strata lithology, and rock collapse is mainly developed in the area of bedrock exposure in mountainous areas. In the area of foremountain alluvium accumulation, mainly debris flow, unstable slope and soil collapse are developed. [ABSTRACT FROM AUTHOR]

Synchronization of hypernetworks has been extensively researched due to its potential applications in various contexts, such as secure communications and power grid engineering. However, the existing works thus far have primarily been devoted to inner synchronization or complete outer synchronization with identical node dynamics and topology structures. To investigate harmonious coexistence between two networks with nonidentical node dynamics and reduce control costs as well, this paper focuses on generalized outer synchronization (GOS) and parameters identification of uncertain delayed hypernetworks with stochastic noises. Regardless of whether the node parameters are known or not, based on Lyapunov stability and the LaSalle‐type invariance principle for stochastic differential equations with multiple delays, some sufficient conditions are exhibited to reach GOS almost surely via adaptive control schemes. Moreover, the unknown node parameter vectors are identified by the designed updating laws. In addition, some corollaries are deduced and indicate that our proposed methods contain single‐layer networks and complete synchronization methods as special cases. Furthermore, numerical simulations are provided to verify the effectiveness of our approaches. In particular, it is revealed that network parameters, including time delays, coupling strengths, and noise intensities, have an impact on the performance of the proposed algorithms. [ABSTRACT FROM AUTHOR]

With the rapid development of swarm intelligence, consensus problem for multi‐agent systems (MASs) has attracted substantial attention. To deal with the leader‐following consensus problems in stochastic dynamical MASs with fixed and switching topologies, this article designed proportional‐integral (PI) control protocols. On the basis of algebraic graph theory and stochastic analysis techniques, by selecting appropriate Lyapunov functions, it is theoretically shown that leader‐following consensus of MASs with stochastic dynamics underlying fixed and switching topologies can be achieved in mean square, respectively. Sufficient criteria are derived for selecting the PI control gains. Finally, the theoretical results are illustrated through several numerical simulations. [ABSTRACT FROM AUTHOR]

This article investigates the consensus‐based formation control problem with unknown disturbances in multi‐agent systems. We design node‐based adaptive controllers via extended state observers and node‐based event‐triggered schemes, which can eliminate the effect of disturbances and avoid continuous communications. With the proposed controllers, we obtain that the formation errors are asymptotic to zero when the derivatives of disturbances belong to ℒ2$$ {\mathcal{L}}_2 $$ space or are bounded by a small threshold when the derivatives of disturbances are bounded. Zeno behaviors and global information are also excluded. Numerical simulations validate the effectiveness of proposed approaches. [ABSTRACT FROM AUTHOR]