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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*
引用本文:张石生,王凡.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*[J].应用数学和力学,1996,17(2):95-103.
作者姓名:张石生  王凡
作者单位:1.四川大学 成都 610064;
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.

关 键 词:两点边值问题    弱序列完备的Banach空间    正规锥
收稿时间:1994-08-16

Existence Theorems of Solutions for Two-Point Boundary Value Problem of Second Order Ordinary DifferentialEquations in Banach Spaces
Zhang Shisheng.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.
Authors:Zhang Shisheng
Institution:1.Sichuan University, Chengdu 610064, P. R. China;2.Nantong Teacher's College, Nantong, Jiangsu 226000, P. R. China
Abstract:By using partial order method, some existing theorems of solutions for twopoint boundary valve problem of second order ordinary differential equations in Banacli spaces are given:
Keywords:two-point boundary value problem  weakly sequentially complete Banachspace  normal cone
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