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

Autor:	Gennaro Infante
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	fixed point index cone system non-trivial solution functional boundary conditions nonlocal differential equation Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 4, p 330 (2021)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math9040330
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/361b5b03c9714f5f85d733b0d8cf0ceb Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF