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arXiv · 1704.05152

Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence

Gennaro Infante·Feliz Minhós
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Abstract

By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on the first derivative. As a byproduct of our theory we discuss the existence of positive solutions of a system of third order ODEs subject to nonlocal boundary conditions. Some examples are provided in order to illustrate the applicability of the theoretical results.

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Gennaro Infante, Feliz Minhós. 2017-04-17. Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence. https://doi.org/10.1007/s00009-017-1044-1

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