Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 566-575.

• Articles • Previous Articles    

Existence of Positive Solution for Nonlinear Fourth-order Singular Differential Equation with Integral Boundary Conditions in Banach Spaces

 ZHANG Xin- Qiu   

  1. School of Mathematics, Liaocheng University, Shandong Liaocheng 252059
  • Received:2008-07-10 Revised:2009-05-18 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10671167)和聊城大学科研启动基金(31805)资助.

Abstract:

By constructing a special closed convex set and using the Mönch fixed-point theorem, the existence of positive solution for fourth-order nonlinear singular differential equations with integral boundary conditions in a Banach space is obtained under some conditions with respect to the first eigenvalue of a linear operator.

Key words: Singular equation, Integral boundary condition, Positive solution, Fixed point theorem, Banach space.

CLC Number: 

  • 34B15
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