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ALMOST PERIODIC SOLUTIONS TO SOME SECOND-ORDER NONAUTONOMOUS DIFFERENTIAL EQUATIONS.

Authors :
DIAGANA, TOKA
Source :
Proceedings of the American Mathematical Society. Jan2012, Vol. 140 Issue 1, p279-289. 11p.
Publication Year :
2012

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
140
Issue :
1
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
67267628
Full Text :
https://doi.org/10.1090/s0002-9939-2011-10970-5