512 research outputs found
Existence Results for Some Damped Second-Order Volterra Integro-Differential Equations
In this paper we make a subtle use of operator theory techniques and the
well-known Schauder fixed-point principle to establish the existence of
pseudo-almost automorphic solutions to some second-order damped
integro-differential equations with pseudo-almost automorphic coefficients. In
order to illustrate our main results, we will study the existence of
pseudo-almost automorphic solutions to a structurally damped plate-like
boundary value problem.Comment: 20 pages. arXiv admin note: substantial text overlap with
arXiv:1402.563
Composition principles for generalized almost periodic functions
In this paper, we consider composition principles for generalized almost
periodic functions. We prove several new composition principles for the classes
of (asymptotically) Stepanov -almost periodic functions and (asymptotically,
equi-)Weyl -almost periodic functions, where and explain
how we can use some of them in the qualitative analysis of solutions for
certain classes of abstract semilinear Cauchy inclusions in Banach spaces
Strongly Damped Wave Equations With Stepanov Type Nonlinear Forcing Term
In this paper we investigate the existence and uniqueness of weighted pseudo almost automorphic mild solution for a class of strongly damped wave equations where the semilinear forcing term is a Stepanov weighted pseudo almost automorphic function
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