arXiv:2103.16114 Abstract | arXiv Analytics

arXiv:2103.16114 [math.AP]Abstract References Reviews Resources

Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation

Published 2021-03-30Version 1

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.

Comments: 13 pages

Categories: math.AP

Keywords: variational approach, second-order non-instantaneous impulsive differential equations, perturbation term, assumptions

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