Almost periodic solutions to some second-order nonautonomous differential equations

Diagana, Toka

doi:10.1090/S0002-9939-2011-10970-5

Almost periodic solutions to some second-order nonautonomous differential equations
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Proc. Amer. Math. Soc. 140 (2012), 279-289 Request permission

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.

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