Nonlinear perturbed integral equations related to nonlocal boundary value problems
Classical Analysis and ODEs
2021-02-09 v1
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.
Cite
@article{arxiv.1601.06707,
title = {Nonlinear perturbed integral equations related to nonlocal boundary value problems},
author = {Alberto Cabada and Gennaro Infante and F. Adrián F. Tojo},
journal= {arXiv preprint arXiv:1601.06707},
year = {2021}
}
Comments
29 pages