Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 258-266.

• Articles • Previous Articles     Next Articles

Positive Solutions of Multiple-point Boundary Value Problems for Systems of Nonlinear Second Order Differential Equations

XIE Sheng-Li   

  1. Department of Mathematics &|Physics, Anhui University of Architecture, Hefei 230601
  • Received:2008-05-19 Revised:2009-10-20 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    安徽建筑工业学院人才引进基金(20071201)资助

Abstract:

In this paper, by means of fixed point index theory, the existence of positive solutions and multiple positive solutions of m-point boundary value problems for the system of nonlinear second order singular differential equations are studied. Some limit type conditions for ensuring the existence of the solutions are given, which are applicable for more general functions.

Key words: Multi-point boundary value problem, Positive solution, Cone, Fixed point index

CLC Number: 

  • 34A34
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