Existence Theorems of Solutions for Two-Point Boundary Value Problem of Second Order Ordinary DifferentialEquations in Banach Spaces

Zhang Shisheng; Wang Fan

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(2): 95-103

Zhang Shisheng, Wang Fan. Existence Theorems of Solutions for Two-Point Boundary Value Problem of Second Order Ordinary DifferentialEquations in Banach Spaces[J]. Applied Mathematics and Mechanics, 1996, 17(2): 95-103.

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Existence Theorems of Solutions for Two-Point Boundary Value Problem of Second Order Ordinary DifferentialEquations in Banach Spaces

Zhang Shisheng¹,
Wang Fan²

1.
Sichuan University, Chengdu 610064, P. R. China;
2.
Nantong Teacher's College, Nantong, Jiangsu 226000, P. R. China

Received Date: 1994-08-16
Publish Date: 1996-02-15

Abstract

Abstract

By using partial order method. some existing theorems of solutions for two-point bouniary value problem of second order ordinary differenlial equations in Banach spaces are given.
- two-point boundary value problem,
- weakly sequentially complete Banach space,
- normal cone

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References(5)

References

[1]	Guo Dajun and V.Lakshmikantham,Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces,J.Math.Anal.Appl.,129(1988),211-222.
[2]	宋福民.Banach空间中两点边值问题的解.数学年刊.14A(6)(1993),692-697
[3]	郭大钧,《非线性泛函分析梦,山东科技出版社(1985).
[4]	K,Deimling,Nonlinear Functional Analysis,Springer-Verlag,Berlin(1985).
[5]	K,Yoside,Functional Analysis,Fifth Edition,Springer-Verlag,Berlin(1978).