Nontrivial solutions of boundary value problems for second order functional differential equations
Classical Analysis and ODEs
2016-05-19 v3
Abstract
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine cones. This approach is fairly general and covers a class of nonlocal boundary value problems for functional differential equations. Some examples are given in order to illustrate our theoretical results.
Cite
@article{arxiv.1406.7509,
title = {Nontrivial solutions of boundary value problems for second order functional differential equations},
author = {Alessandro Calamai and Gennaro Infante},
journal= {arXiv preprint arXiv:1406.7509},
year = {2016}
}
Comments
19 pages, revised version