On ordinary differential inclusions with mixed boundary conditions
Analysis of PDEs
2015-03-24 v1
Abstract
By means of nonsmooth critical point theory, we prove existence of three weak solutions for an ordinary differential inclusion of Sturm-Liouville type involving a general set-valued reaction term depending on a parameter, and coupled with mixed boundary conditions. As an application, we give a multiplicity result for ordinary differential equations involving discontinuous nonlinearities.
Keywords
Cite
@article{arxiv.1503.06411,
title = {On ordinary differential inclusions with mixed boundary conditions},
author = {Gabriele Bonanno and Antonio Iannizzotto and Monica Marras},
journal= {arXiv preprint arXiv:1503.06411},
year = {2015}
}
Comments
11 pages