Journal of Jilin University Science Edition ›› 2013, Vol. 51 ›› Issue (04): 545-550.

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Existence of Solutions for a Fourth Order Differential Equationwith Integral Boundary Conditions

SONG Wenjing1, GAO Wenjie2   

  1.  1. Institute of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, china;2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2012-11-30 Online:2013-07-26 Published:2013-08-06
  • Contact: GAO Wenjie E-mail:wjgao@mail.jlu.edu.cn

Abstract:

Making a series of priori estimates, applying lower and upper solutions techniques and LeraySchauder degree theory, the authors obtained the existence of the solution for a fourth order differential equation with intergal boundary conditions.

Key words: integral boundary condition, fourth order differential equation, existence of solution

CLC Number: 

  • O175