New Results of Some Existence Theorems on Nonlinear Boundary Value Problems

Wu Guangrong; Huang Wenhua; Shen Zuhe

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Wu Guangrong, Huang Wenhua, Shen Zuhe. New Results of Some Existence Theorems on Nonlinear Boundary Value Problems[J]. Applied Mathematics and Mechanics, 1999, 20(1): 105-109.

Citation:

Wu Guangrong, Huang Wenhua, Shen Zuhe. New Results of Some Existence Theorems on Nonlinear Boundary Value Problems[J]. Applied Mathematics and Mechanics, 1999, 20(1): 105-109.

Citation:

Wu Guangrong, Huang Wenhua, Shen Zuhe. New Results of Some Existence Theorems on Nonlinear Boundary Value Problems[J]. Applied Mathematics and Mechanics, 1999, 20(1): 105-109.

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New Results of Some Existence Theorems on Nonlinear Boundary Value Problems

^1. Department of Mathematics, Nanjing University, Nanjing 210093, P R China;
^2. Wuxi University of Light Industry, Wuxi 214036, P R China

Received Date: 1996-12-27
Rev Recd Date: 1998-06-18
Publish Date: 1999-01-15

Abstract

Abstract

With the use of the homeomorohism 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 obtained. The results in this note seem less restrictive than those of the former papers we have seen. Mean while, as far as we know, it seems that applying the homeomorphism theory to the research of this kind of problem is new.
- homeomorphism,
- existence and uniqueness,
- global inverse theorem

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References(10)

References

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