Asymptotically almost periodic and almost periodic solutions for a class of evolution equations

Date

2004-04-21

Authors

Hernandez M., Eduardo
Pelicer, Mauricio L.
dos Santos, Jose P. C.

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Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this paper we study the existence of asymptotically almost periodic and almost periodic solutions for the partial evolution equation d/ dt (x(t) + g(t, x(t)) = Ax(t) + ƒ(t, Bx(t)), where A is the infinitesimal generator of an analytic semigroup on a Banach space X, B is a closed linear operator, and ƒ, g are given functions.

Description

Keywords

Almost periodic, Asymptotically almost periodic, Semigroup of linear operators

Citation

Hernandez M., E., Pelicer, M. L., & dos Santos, J. P. C. (2004). Asymptotically almost periodic and almost periodic solutions for a class of evolution equations. <i>Electronic Journal of Differential Equations, 2004</i>(61), pp. 1-15.

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Attribution 4.0 International

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