Topological Methods in Nonlinear Analysis

Coincidence degree methods in almost periodic differential equations

Liangping Qi and Rong Yuan

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Abstract

We consider the existence of almost periodic solutions to differential equations by using coincidence degree theory. A new equivalent spectral condition for the compactness of integral operators on almost periodic function spaces is established. It is shown that semigroup conditions are crucial in applications.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 50, Number 1 (2017), 185-216.

Dates
First available in Project Euclid: 14 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1507946576

Digital Object Identifier
doi:10.12775/TMNA.2017.026

Mathematical Reviews number (MathSciNet)
MR3706157

Zentralblatt MATH identifier
06850996

Citation

Qi, Liangping; Yuan, Rong. Coincidence degree methods in almost periodic differential equations. Topol. Methods Nonlinear Anal. 50 (2017), no. 1, 185--216. doi:10.12775/TMNA.2017.026. https://projecteuclid.org/euclid.tmna/1507946576


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