Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation
Analysis of PDEs
2021-03-31 v1
Abstract
In this paper, we study the existence of solutions for second-order non-instantaneous impulsive differential equations with a perturbation term. By variational approach, we obtain the problem has at least one solution under assumptions that the nonlinearities are super-quadratic at infinity, and sub-quadratic at the origin.
Keywords
Cite
@article{arxiv.2103.16114,
title = {Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation},
author = {Wangjin Yao and Liping Dong and Jing Zeng},
journal= {arXiv preprint arXiv:2103.16114},
year = {2021}
}
Comments
13 pages