Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with phi-Laplacians
Dynamical Systems
2020-04-01 v1
Abstract
In this paper we present sufficient conditions for the existence of heteroclinic or homoclinic solutions for second order coupled systems of differential equations on the real line. We point out that it is required only conditions on the homeomorphisms and no growth or asymptotic conditions are assumed on the nonlinearities. The arguments make use of the fixed point theory, L^1-Carath\'eodory functions and Schauder's fixed point theorem. An application to a family of second order nonlinear coupled systems of two degrees of freedom, shows the applicability of the main theorem.
Keywords
Cite
@article{arxiv.2003.14095,
title = {Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with phi-Laplacians},
author = {Robert de Sousa and Feliz Minhós},
journal= {arXiv preprint arXiv:2003.14095},
year = {2020}
}