Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (1): 54-61.

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New Results for Neumann Boundary Value Problem with Impulses via Variational Methods

Chen Huiwen1, Li Jianli1, Shen Jianhua2   

  1. 1. Department of Mathematics, College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081;
    2. Department of Mathematics, College of Science, Hangzhou Normal University, Hangzhou 310036
  • Received:2016-05-17 Revised:2016-11-08 Online:2017-02-26 Published:2017-02-26
  • Supported by:

    Supported by the NSFC (11571088, 11471109, 11526111), the Zhejiang Provincial Natural Science Foundation (LY14A010024) and Project Supported by Scientific Research Fund of Hunan Provincial Education Department (14A098)

Abstract:

In this paper, we study the existence of three solutions for Neumann boundary value problem with impulses. By using a very recent three critical points theorem, we obtain a new criterion for guaranteeing that Neumann boundary value problem with impulses has three solutions. Some recent results are generalized and significantly improved. Some examples are also presented to illustrate our main results.

Key words: Impulsive differential equations, Three critical points theorem, Neumann boundary value problem

CLC Number: 

  • O175
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