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一类n阶非线性微分方程多点边值问题解的唯一性
引用本文:杨新宇.一类n阶非线性微分方程多点边值问题解的唯一性[J].白城师范学院学报,2009(3).
作者姓名:杨新宇
作者单位:白城师范学院数学系;
摘    要:本文利用Leray-Schauder度理论建立了n阶非线性微分方程y(n)=f(x,y,y′,…y(n-1)),0

关 键 词:n阶非线性微分方程  多点边值问题  唯一性

Uniqueness of Solutions of Multy-Point Boundary Value Problems for A Class of n-th-Order Nonlinear Differential Equations
YANG Xin-yu.Uniqueness of Solutions of Multy-Point Boundary Value Problems for A Class of n-th-Order Nonlinear Differential Equations[J].Journal of Baicheng Normal College,2009(3).
Authors:YANG Xin-yu
Institution:Department of Mathematics;Baicheng Normal College;Baicheng 137000;China
Abstract:In this paper,we apply the Leray-Schauder degree theory to obtain some sufficient conditions of the uniqueness of solution of multy-point boundary value problem for n-th-order nonlinear differential equations with the boundary conditions and then we give some examples of the applications in our results.
Keywords:n-th-order nonlinear differential equation  multy-point boundary value problem  existence  uniqueness  
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