Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (3): 521-530.

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Variational Approach to Existence of Weak Solutions to Second-Order Singular Impulsive Problems

Liu Jian1, Zhao Zengqin2   

  1. 1 School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014;
    2 School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165
  • Received:2015-09-27 Revised:2016-04-02 Online:2016-06-26 Published:2016-06-26
  • Supported by:

    Supported by the NSFC (11571197), the Shandong Provincial Natural Science Foundation (ZR2012AQ024, ZR2014AM007), the Project of Training Distinguished Young Scholars of SDUFE and the SRFDP (20133705110003)

Abstract:

In this paper, we consider the existence of weak solutions for a class of nonlinear singular impulsive boundary value problems with disturbance term. We obtain some new existence theorems of solutions by using variational methods combing with some critical-point theorems.

Key words: Variational method, Singular, Impulsive, Mountain pass theorem

CLC Number: 

  • O175.14
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