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Banach空间脉冲微分方程无穷边值问题的混合单调迭代求解

汪子莲 丁珂

宁夏大学学报(自然科学版)2012,Vol.33Issue(2):135-139,143,6.
宁夏大学学报(自然科学版)2012,Vol.33Issue(2):135-139,143,6.

Banach空间脉冲微分方程无穷边值问题的混合单调迭代求解

Mixed Monotone Iterative for Infinite Boundary Value Problems of Impulsive Differential Equations in Banach Spaces

汪子莲 1丁珂2

作者信息

  • 1. 兰州工业学院基础学科部,甘肃兰州 730050
  • 2. 中山大学岭南学院,广东广州 510275
  • 折叠

摘要

Abstract

The concepts of L(t)-quasi-upper and lower solutions are introduced for the infinite boundary value problem of the impulsive differential equations in Banach space X. Under some suitable conditions,by using the monotone iteration sequence with L(t)-quasi-upper and lower solutions, the existence of the minimal and maximal L(t)-quasi-solutions of the porblem and the solution for the problem between them is proved.

关键词

正规锥/脉冲微分方程/L(t) -拟上下解对/无穷边值问题/单调迭代技巧

Key words

normal cone/ impulsive differential equation/ L (t)-quasi-upper and lower solutions/ infinite boundary value problem/ monotone iterative technique

分类

数理科学

引用本文复制引用

汪子莲,丁珂..Banach空间脉冲微分方程无穷边值问题的混合单调迭代求解[J].宁夏大学学报(自然科学版),2012,33(2):135-139,143,6.

基金项目

甘肃省教育厅科研资助项目(0712B-02) (0712B-02)

宁夏大学学报(自然科学版)

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