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二阶非线性微分方程组多点边值问题的正解
引用本文:谢胜利.二阶非线性微分方程组多点边值问题的正解[J].数学物理学报(A辑),2010,30(1):258-266.
作者姓名:谢胜利
作者单位:安徽建筑工业学院数理系,合肥,230601 
基金项目:安徽建筑工业学院人才引进基金 
摘    要:该文使用不动点指数理论,研究二阶奇异非线性微分方程组多点边值问题的正解和多个正解的存在性.给出某些保证解的存在性的极限条件,这些条件适用于较一般的函数.

关 键 词:多点边值问题  正解    不动点指数
收稿时间:2008-05-19
修稿时间:2009-10-20

Positive Solutions of Multiple-point Boundary Value Problems for Systems of Nonlinear Second Order Differential Equations
XIE Sheng-Li.Positive Solutions of Multiple-point Boundary Value Problems for Systems of Nonlinear Second Order Differential Equations[J].Acta Mathematica Scientia,2010,30(1):258-266.
Authors:XIE Sheng-Li
Institution:Department of Mathematics &;|Physics, Anhui University of Architecture, Hefei 230601
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.
Keywords:Multi-point boundary value problem  Positive solution  Cone  Fixed point index
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