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Banach空间中二阶非线性脉冲微分方程的Sturm-Liouville边值问题的极解

谢胜利

数学杂志2004,Vol.24Issue(2):139-144,6.
数学杂志2004,Vol.24Issue(2):139-144,6.

Banach空间中二阶非线性脉冲微分方程的Sturm-Liouville边值问题的极解

EXTEREMAL SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES

谢胜利1

作者信息

  • 1. 安徽宿州师范专科学校数学系,安徽,宿州,234000
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摘要

Abstract

In this paper, by use of the monotone iterative technique, cone theory and comparision theorem, we obtain the extremal solutions of Sturm-Liouville boundary value problems for nonlinear second order impulisive differential equations in Banach spaces.

关键词

脉冲微分方程/Sturm-Liouville边值问题//单调迭代技巧,最小解和最大解

Key words

impulsivedifferential equation/Sturm-Liouville boundary value problem/cone/monotone iterative technique/minimal and maximal solutions

分类

数理科学

引用本文复制引用

谢胜利..Banach空间中二阶非线性脉冲微分方程的Sturm-Liouville边值问题的极解[J].数学杂志,2004,24(2):139-144,6.

基金项目

Supported by Science Foundation of Anhui Province (2000jl236) (2000jl236)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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