Almost periodic solutions to some second-order nonautonomous differential equations-Reference-Cited by-同舟云学术

Almost periodic solutions to some second-order nonautonomous differential equations

Published:2011-06-01 Issue:1 Volume:140 Page:279-289
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Diagana Toka

Abstract

This paper is concerned with the existence of almost periodic mild solutions to some second-order equations. Using dichotomy tools and the Schauder fixed point theorem, the existence of almost periodic mild solutions to those second-order evolution equations is established. To illustrate our abstract results, the existence of almost periodic solutions to a damped second-order boundary value problem is also discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-01/S0002-9939-2011-10970-5/S0002-9939-2011-10970-5.pdf

Reference14 articles.

1. Controllability of second-order semilinear neutral functional differential systems in Banach spaces;Balachandran, K.;Comput. Math. Appl.,2001

2. Existence of solutions of second order neutral functional-differential equations;Balachandran, K.;Tamkang J. Math.,1999

3. Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces;Benchohra, M.;J. Math. Anal. Appl.,2001

4. Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations;Baroun, M.;J. Math. Anal. Appl.,2009

5. C. Corduneanu, Almost periodic functions, 2nd edition, Chelsea, New York, 1989.

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