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Nontrivial Solutions of Systems of Perturbed Hammerstein Integral Equations with Functional Terms

Author

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  • Gennaro Infante

    (Dipartimento di Matematica e Informatica, Università della Calabria, Arcavacata di Rende, 87036 Cosenza, Italy)

Abstract

We discuss the solvability of a fairly general class of systems of perturbed Hammerstein integral equations with functional terms that depend on several parameters. The nonlinearities and the functionals are allowed to depend on the components of the system and their derivatives. The results are applicable to systems of nonlocal second order ordinary differential equations subject to functional boundary conditions, this is illustrated in an example. Our approach is based on the classical fixed point index.

Suggested Citation

  • Gennaro Infante, 2021. "Nontrivial Solutions of Systems of Perturbed Hammerstein Integral Equations with Functional Terms," Mathematics, MDPI, vol. 9(4), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:330-:d:494998
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    Cited by:

    1. Filomena Cianciaruso & Paolamaria Pietramala, 2023. "Existence of multiple solutions for a wide class of differential inclusions," Mathematische Nachrichten, Wiley Blackwell, vol. 296(1), pages 152-163, January.

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