Double resonance in Sturm-Liouville planar boundary value problems
Dynamical Systems
2020-08-18 v1
Abstract
We provide some existence results for Sturm-Liouville boundary value problems associated with the planar differential system where g is suitably controlled by the gradient of two positively homogeneous functions of degree 2 and r is bounded. We study the existence of solutions when a double resonance phenomenon occurs by the introduction of Landesman-Lazer type of conditions. Applications to scalar second order differential equations are given.
Keywords
Cite
@article{arxiv.1810.10210,
title = {Double resonance in Sturm-Liouville planar boundary value problems},
author = {Andrea Sfecci},
journal= {arXiv preprint arXiv:1810.10210},
year = {2020}
}