Article ID Journal Published Year Pages File Type
841211 Nonlinear Analysis: Theory, Methods & Applications 2012 11 Pages PDF
Abstract

Let (X,‖⋅‖)(X,‖⋅‖) be a Banach space and ω∈Rω∈R. A bounded function u∈C([0,∞);X)u∈C([0,∞);X) is called SS-asymptotically ωω-periodic if limt→∞[u(t+ω)−u(t)]=0limt→∞[u(t+ω)−u(t)]=0. In this paper, we establish conditions under which an SS-asymptotically ωω-periodic function is asymptotically ωω-periodic and we discuss the existence of SS-asymptotically ωω-periodic and asymptotically ωω-periodic solutions for an abstract integral equation. Some applications to partial differential equations and partial integro-differential equations are considered.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,