We provide a theory to establish the existence of nonzero so- lutions of perturbed Hammerstein integral equations with deviated argu- ments, being our main ingredient the theory of fixed point index. Our ap- proach is fairly general and covers a variety of cases. We apply our results to a periodic boundary value problem with reflections and to a thermo- stat 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.

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

INFANTE, GENNARO
;
2016

Abstract

We provide a theory to establish the existence of nonzero so- lutions of perturbed Hammerstein integral equations with deviated argu- ments, being our main ingredient the theory of fixed point index. Our ap- proach is fairly general and covers a variety of cases. We apply our results to a periodic boundary value problem with reflections and to a thermo- stat 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.
Nontrivial solutions; Nonlocal boundary conditions; Cone
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/143312
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