New results of some existence theorems on nonlinear boundary value problems

被引：0

作者：

Wu, GR ^{[1
]}

Huang, WH

Shen, ZH

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Wuxi Univ Light Ind, Wuxi 214036, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1999年 / 20卷 / 01期

关键词：

homeomorphism; existence and uniqueness; global inverse theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the we of the homeomorphism theory and fixed point theory, the existence and uniqueness of solutions to boundary value problems are investigated. Two basic theorems are obtained without the boundness condition, which generalizes results of Brown. When our results are applied to the existence and uniqueness of periodic solutions for nonlinear perturbed conservative systems (Newtonian equations of motion), the existence and uniqueness of the solution are obtained. The results in this note seem less restrictive than those of the former papers we have seen. Meanwhile, as far as we know, it seems that applying the homeomorphism theory to the research of this kind of problem is new.

引用

页码：110 / 114

页数：5