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arXiv · 2103.16114

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

Wangjin Yao·Liping Dong·Jing Zeng
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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.

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Wangjin Yao, Liping Dong, Jing Zeng. 2021-03-30. Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation. https://arxiv.org/abs/2103.16114

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