Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841211 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 11 Pages |
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.
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Authors
Michelle Pierri,