Nonlinear perturbed integral equations related to nonlocal boundary value problems


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	Nonlinear perturbed integral equations related to nonlocal boundary value problems


	Fixed Point Theory, Volume 19, No. 1, 2018, 65-92, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.07 Authors: Alberto Cabada, Gennaro Infante and F. Adrián F. Tojo Abstract: By topological arguments, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions of a class of perturbed nonlinear integral equations. These type of integral equations arise, for example, when dealing with boundary value problems where nonlocal terms occur in the differential equation and/or in the boundary conditions. Some examples are given to illustrate the theoretical results. Key Words and Phrases: Perturbed integral equation, nonlocal differential equation, nonlinear boundary condition, nontrivial solution, fixed point index, cone. 2010 Mathematics Subject Classification: 45G10, 34A34, 34B10, 34B15, 34B18, 34K10. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents