高阶非线性多点边值问题解的存在性与唯一性

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 258-266.

高阶非线性多点边值问题解的存在性与唯一性

1. Department of Mathematics, Beihua University2. Department of Mathematics, Yeungnam University

收稿日期:2005-12-29 出版日期:2009-06-30 发布日期:2023-07-24
作者简介:PEI Ming-he(1963-), male(Chaoxianzu), native of Jilin, Jilin, a professor of Beihua University, Ph.D., engages in differential equation; Sung-Kag Chang(1951-), male(Korea), native of Kyongsan, Korea, a professor of Yeungnam University, Ph.D., engages in differential equation.
基金资助:
Supported by SRF for ROCS, SEM.；

Existence and Uniqueness of Solutions for Higher Order Nonlinear Multi-point Boundary Value Problems

1. Department of Mathematics, Beihua University2. Department of Mathematics, Yeungnam University

Received:2005-12-29 Online:2009-06-30 Published:2023-07-24
About author:PEI Ming-he(1963-), male(Chaoxianzu), native of Jilin, Jilin, a professor of Beihua University, Ph.D., engages in differential equation; Sung-Kag Chang(1951-), male(Korea), native of Kyongsan, Korea, a professor of Yeungnam University, Ph.D., engages in differential equation.
Supported by:
Supported by SRF for ROCS, SEM.；

摘要/Abstract

摘要： In this paper, the existence and uniqueness theorems of solutions of k-point boundary value problems for nth-order nonlinear differential equations are established by Leray-Schauder continuation theorem.

关键词: nth-order nonlinear differential equations, k-point boundary value problem;
existence, uniqueness

Abstract: In this paper, the existence and uniqueness theorems of solutions of k-point boundary value problems for nth-order nonlinear differential equations are established by Leray-Schauder continuation theorem.

Key words: nth-order nonlinear differential equations, k-point boundary value problem;
existence, uniqueness

中图分类号:

O175.8

裴明鹤, 张性珏. 高阶非线性多点边值问题解的存在性与唯一性[J]. 数学季刊, 2009, 24(2): 258-266.

PEI Ming-he, Sung-Kag Chang. Existence and Uniqueness of Solutions for Higher Order Nonlinear Multi-point Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 258-266.

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