Variational approach to non-instantaneous impulsive differential equations with $ p $-Laplacian operator-Reference-Cited by-同舟云学术

Variational approach to non-instantaneous impulsive differential equations with $ p $-Laplacian operator

Published:2022 Issue:9 Volume:7 Page:17269-17285
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Yao Wangjin

Abstract

<abstract><p>In this paper, we consider the existence, multiplicity and nonexistence of solutions for a class of $ p $-Laplacian differential equations with non-instantaneous impulses. By using variational methods and critical point theory, we obtain that the impulsive problem has at least one nontrivial solution, at least two nontrivial solutions and no nontrivial solution.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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