巴拿赫空间中二阶微分方程的多点边值问题

  • 张红晔
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  • 吉林铁道职业技术学院,基础部,吉林省,吉林市,132001

网络出版日期: 2009-11-25

基金资助

国家自然科学基金,教育部科学技术研究重点项目

Multi-point Boundary Value Problems for Second-order Differential Equations in Banach Spaces

  • ZHANG Hong-ye
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Online published: 2009-11-25

摘要

利用Sadovskii不动点定理,研究巴拿赫空间中二阶微分方程的多点边值问题,得到了解存在的充分性判据.

本文引用格式

张红晔 . 巴拿赫空间中二阶微分方程的多点边值问题[J]. 河北大学学报(自然科学版), 2009 , 29(6) : 574 -576 . DOI: 10.3969/j.issn.1000-1565.2009.06.005

Abstract

By using the Sadovskii fixed point theorem, the second-order multi-point boundary value problem in a Banach space is studied.The sufficient condition for existence of at least one solution is obtained.

参考文献

[1] GUO D, LAKSHMIKANTHAM V. Nonlinear problems in abstract cones [M]. New York:Academic Press, Inc 1998.
[2] Liu YS.. Boundary value problems for second order differential equations on unbounded domains in a Banach space [J]. Applied mathematics and computation 2003, 2/3(2/3).
[3] Liu B. Positive solutions of second-order three-point boundary value problems with change of sign in Banach spaces [J]. Nonlinear Analysis: An International Multidisciplinary Journal 2006, 6(6).
[4] GUO D, LAKSHMIKANTHAM D. Multiple solutions of a two-point boundary value problem of ordinary differential equations in Banach space [J]. Journal of Mathematical Analysis and Applications 1988, 129(01).
[5] CHEN H. Three-point boundary value problems for second-order ordinary differential equations in Banach space [J]. Comput Math Appli 2008, 56(07).
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