Cabada Fernández, AlbertoInfante, GennaroFernández Tojo, Fernando Adrián2026-01-082026-01-082018-02-01Alberto Cabada, Gennaro Infante and F. Adrián F. Tojo, Nonlinear perturbed integral equations related to nonlocal boundary value problems. Fixed Point Theory, Volume 19, No. 1, 2018, 65-92, February 1st, 20181583-5022https://hdl.handle.net/10347/44941By 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.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Perturbed integral equationNonlocal differential equationNonlinear boundary conditionNontrivial solutionFixed point indexCone1202 Análisis y análisis funcionaljournal article10.24193/fpt-ro.2018.1.072066-9208open access