Topological Methods in Nonlinear Analysis

Almost periodic solutions of evolution equations

Jean-Franҫois Couchouron, Mikhail I. Kamenskiĭ, and Sergey Ponomarev

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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.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 50, Number 1 (2017), 65-87.

Dates
First available in Project Euclid: 14 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1507946571

Digital Object Identifier
doi:10.12775/TMNA.2017.012

Mathematical Reviews number (MathSciNet)
MR3706152

Zentralblatt MATH identifier
06850991

Citation

Couchouron, Jean-Franҫois; Kamenskiĭ, Mikhail I.; Ponomarev, Sergey. Almost periodic solutions of evolution equations. Topol. Methods Nonlinear Anal. 50 (2017), no. 1, 65--87. doi:10.12775/TMNA.2017.012. https://projecteuclid.org/euclid.tmna/1507946571


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