Almost periodic solutions to some second-order nonautonomous differential equations
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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.References
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Additional Information
- Toka Diagana
- Affiliation: Department of Mathematics, Howard University, 2441 6th Street N.W., Washington, DC 20059
- MR Author ID: 662718
- Email: tdiagana@howard.edu
- Received by editor(s): November 17, 2010
- Published electronically: June 1, 2011
- Communicated by: Yingfei Yi
- © Copyright 2011 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 140 (2012), 279-289
- MSC (2010): Primary 39A24, 42A75, 35L10, 37L05, 34D09
- DOI: https://doi.org/10.1090/S0002-9939-2011-10970-5
- MathSciNet review: 2833540
Dedicated: In memory of my friend and colleague Cora Sadosky