Boundary Value Problems for Nonlinear Differential Equations  of  Second  Order  in  Banach  Spaces

数学季刊 ›› 1996, Vol. 11 ›› Issue (4): 13-18.

Boundary Value Problems for Nonlinear Differential Equations of Second Order in Banach Spaces

Dept. of Math.,Shandong Normal University,Jinan,250014

收稿日期:1994-11-10 出版日期:1996-12-30 发布日期:2024-12-17

Boundary Value Problems for Nonlinear Differential Equations of Second Order in Banach Spaces

Dept. of Math.,Shandong Normal University,Jinan,250014

Received:1994-11-10 Online:1996-12-30 Published:2024-12-17

摘要/Abstract

摘要： Boundary value problems for differential equations in Banach spaces have a wide-ranging actul background(see [2]),S. Szufla([5])had proved an existence theorem for such problem. In this paper,we will improve his result and get a new existence theorem using Daher's fixed point theorem.

关键词: boundary value problem, measure of noncompactness, fixed point

Abstract: Boundary value problems for differential equations in Banach spaces have a wide-ranging actul background(see [2]),S. Szufla([5])had proved an existence theorem for such problem. In this paper,we will improve his result and get a new existence theorem using Daher's fixed point theorem.

Key words: boundary value problem, measure of noncompactness, fixed point

中图分类号:

O175

崔长军, 刘衍胜. Boundary Value Problems for Nonlinear Differential Equations of Second Order in Banach Spaces[J]. 数学季刊, 1996, 11(4): 13-18.

Cui Changjun, Liu Yansheng. Boundary Value Problems for Nonlinear Differential Equations of Second Order in Banach Spaces[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(4): 13-18.

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Boundary Value Problems for Nonlinear Differential Equations of Second Order in Banach Spaces

Boundary Value Problems for Nonlinear Differential Equations of Second Order in Banach Spaces

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