Banach空间中二阶常微分方程的两点边值问题解的存在性定理*
Existence Theorems of Solutions for Two-Point Boundary Value Problem of Second Order Ordinary DifferentialEquations in Banach Spaces
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摘要: 本文利用半序方法,在Banach空间中研究了一类更一般的二阶常微分方程两点边值问题解的存在性唯一性定理.
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关键词:
- 两点边值问题 /
- 弱序列完备的Banach空间 /
- 正规锥
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. -
[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).
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