Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (2): 447-457.

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Variational Approach to Existence of Multiple Solutions for Neumann Boundary Value Problem of Impulsive Differential Equations

Liao Dan1,2,Zhang Huiping3,Yao Wangjin1,2,*()   

  1. 1Key Laboratory of Applied Mathematics of Fujian Province University, Fujian Putian 351100
    2School of Mathematics and Finance, Putian University, Fujian Putian 351100
    3College of Mathematics and Statistics, Fujian Normal University, Fuzhou 350007
  • Received:2021-08-27 Revised:2022-09-20 Online:2023-04-26 Published:2023-04-17
  • Supported by:
    Natural Science Foundation of Fujian Province(2021J05237);Program for Innovative Research Team in Science and Technology in Fujian Province University(2018-39)

Abstract:

In this paper, we consider the multiplicity of solutions for Neumann boundary value problem of impulsive differential matrixs with $p$-Laplacian operator. Under the assumption that the nonlinearity does not satisfy Ambrosetti-Rabinowitz condition, infinitely many classical solutions for the impulsive boundary value problem are obtained via variational method.

Key words: Neumann boundary value problem, Cerami condition, Variational method

CLC Number: 

  • O175.14
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