Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 718-729.

• Articles • Previous Articles     Next Articles

Solutions of Some m-point Boundary Value Problems for Second-order Differential Equations

 LI Xing-Chang, ZHAO Zeng-Qin   

  1. School of Mathematical Sciences, Qufu Normal University, Shandong Qufu |273165
  • Received:2008-09-08 Revised:2009-11-29 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家自然科学基金 (10871116)、山东省自然科学基金(Y2006A04)和高教博士点专项科研基金(200804460001) 资助

Abstract:

In this paper, we consider some m-point boundary value problems of second-order differential equations. We give the uniqueness and the  exact expressions of the solutions for the linear differential equations with some m-point boundary conditions. As applications, we study the solution by iteration method for some nonlinear singular boundary value problems.

Key words: Second-order differential equation, m-point boundary value problem, Analytic expression, Solution by iteration method

CLC Number: 

  • 34A05
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