Topological Methods in Nonlinear Analysis

Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications

Alberto Cabada, Gennaro Infante, and F. Adrián F. Tojo

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Abstract

We provide a theory to establish the existence of nonzero solutions of perturbed Hammerstein integral equations with deviated arguments, being our main ingredient the theory of fixed point index. Our approach is fairly general and covers a variety of cases. We apply our results to a periodic boundary value problem with reflections and to a thermostat problem. In the case of reflections we also discuss the optimality of some constants that occur in our theory. Some examples are presented to illustrate the theory.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 47, Number 1 (2016), 265-287.

Dates
First available in Project Euclid: 23 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1458740739

Digital Object Identifier
doi:10.12775/TMNA.2016.005

Mathematical Reviews number (MathSciNet)
MR3469057

Zentralblatt MATH identifier
1366.45005

Citation

Cabada, Alberto; Infante, Gennaro; Tojo, F. Adrián F. Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications. Topol. Methods Nonlinear Anal. 47 (2016), no. 1, 265--287. doi:10.12775/TMNA.2016.005. https://projecteuclid.org/euclid.tmna/1458740739


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