Banach空间二阶非线性奇异微分方程的解

Abstract

Abstract:

This paper deals with a class of boundary value problems of nonlinear second order differential equations in Banach spaces, where the equations have singular right hand terms. Using fixed point method, the existence theorems for the boundary value problems are obtained. Finally, an example is given.

Key words: ｉｎｇｕｌａｒｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍ, Ｓｔｒｉｃｔｓｅｔｃｏｎｔｒａｔｉｏｎｏｐｅｒａｔｏｒ, Ｆｉｘｅｄｐｏｉｎｔ

CLC Number:

Zhou Youming. Solutions of Nonlinear Singular Second Order Differential Equations in Banach Spaces[J].Acta mathematica scientia,Series A, 2000, 20(2): 181-186.

[1]	Chen Zongxuan. The Fixed Points and Hyper Order of Solutions of Second Order Complex Differential Equations [J]. Acta mathematica scientia,Series A, 2000, 20(3): 425-432.
[2]	Chai Guoqing. Initial Value Problems for Nonlinear Second Order Impulsive Integrodifferential Equations in Banach Space [J]. Acta mathematica scientia,Series A, 2000, 20(3): 351-359.
[3]	Hu Changsong. The Fixed Point Property of Stable Banach Spaces with An Unconditional Schauder Basis [J]. Acta mathematica scientia,Series A, 2000, 20(3): 309-313.
[4]	Xiang Shuhuang. a futher analysisi of fixed point theorems on probabilistic normed spaces and their applications [J]. Acta mathematica scientia,Series A, 1999, 19(4): 456-460.

Solutions of Nonlinear Singular Second Order Differential Equations in Banach Spaces

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