Open Access
2017 Almost periodic solutions of evolution equations
Jean-Franҫois Couchouron, Mikhail I. Kamenskiĭ, Sergey Ponomarev
Topol. Methods Nonlinear Anal. 50(1): 65-87 (2017). DOI: 10.12775/TMNA.2017.012

Abstract

We state existence theorems for almost periodic solutions of evolution problems, namely, quasi-autonomous problems and more generally, time dependent evolution equations. We apply these theorems firstly, to a boundary value quasilinear hyperbolic equation of first order, and secondly, to a boundary value quasi-parabolic equation.

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Jean-Franҫois Couchouron. Mikhail I. Kamenskiĭ. Sergey Ponomarev. "Almost periodic solutions of evolution equations." Topol. Methods Nonlinear Anal. 50 (1) 65 - 87, 2017. https://doi.org/10.12775/TMNA.2017.012

Information

Published: 2017
First available in Project Euclid: 14 October 2017

zbMATH: 06850991
MathSciNet: MR3706152
Digital Object Identifier: 10.12775/TMNA.2017.012

Rights: Copyright © 2017 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.50 • No. 1 • 2017
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