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In this paper we study the well-posedness for some damped elastic systems in a Banach space. To illustrate our abstract results, we study the existence of classical solutions to some elastic systems with viscous and strong dampings. [ABSTRACT FROM AUTHOR]

This paper is aimed at studying the existence of square-mean almost periodic solutions to some singular stochastic differential equations with square-mean almost periodic coefficients. Using the block diagonal form of a linear operator on the suitable space, we establish an existence result under some appropriate assumptions. [ABSTRACT FROM AUTHOR]

Abstract: In this paper we study and obtain the existence of an almost automorphic solution to a Beverton–Holt dynamic equation with a nonconstant survival rate under some reasonable assumptions. [Copyright &y& Elsevier]

Abstract: In this paper, we make extensive use of the well-known Schauder fixed point principle and the exponential stability of the evolution family involved to study and obtain the existence of almost periodic mild solutions to some classes of nonautonomous higher-order differential equations with operator coefficients in a separable infinite dimensional complex Hilbert space. To illustrate our main result, we study and obtain the existence of an almost periodic mild solution to a wave equation with fractional damping. [Copyright &y& Elsevier]

Abstract: In this paper we give some sufficient conditions, which ensure the existence of pseudo almost periodic solutions to some classes of non-autonomous first-order partial neutral functional-differential with unbounded delay. [Copyright &y& Elsevier]

Abstract: We give in this work some sufficient conditions for the existence and uniqueness of almost automorphic (mild) solutions to some classes of partial evolution equations. Then we use our abstract results to discuss the existence and uniqueness of almost automorphic solutions to some partial differential equations. [Copyright &y& Elsevier]

Abstract: We study the existence and uniqueness of pseudo-almost-periodic solutions to semilinear differential equations of the form where is the infinitesimal generator of an analytic semigroup acting on a (complex) Banach space , and is a jointly continuous function. Under some additional assumptions on and , the existence and uniqueness of a pseudo-almost-periodic (classical) solution to (∗) is obtained by using both fractional powers of operators and the Banach’s fixed-point principle. [Copyright &y& Elsevier]