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具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性

李燕 胡军浩

应用数学2013,Vol.26Issue(1):104-113,10.
应用数学2013,Vol.26Issue(1):104-113,10.

具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性

Controllability of Nonlinear Stochastic Impulsive Functional Differential Inclusions with Hille-Yosida Operators

李燕 1胡军浩2

作者信息

  • 1. 华中农业大学理学院,湖北武汉430070
  • 2. 中南民族大学数学与统计学院,湖北武汉430074
  • 折叠

摘要

Abstract

In this paper,the controllability of nonlinear stochastic impulsive functional differential inclusions with Hille-Yosida operators is investigated.Assuming that the multivalued nonlinearity and impulsive function satisfy the regularity conditions expressed in terms of the measures of noncompactness,the sufficient conditions for the controllability of these inclusions are obtained by using the theory of the measure of noncompactness and the fixed-point theorem of condensing multivalued map.

关键词

可控性/随机微分包含/脉冲/不动点/非紧性测度

Key words

Controllability / Stochastic differential inclusion/ Impulsive/ Fixed-point theorem/ Measure of noncompactness

分类

数理科学

引用本文复制引用

李燕,胡军浩..具有Hille-Yosida算子的非线性随机脉冲泛函微分包含的可控性[J].应用数学,2013,26(1):104-113,10.

基金项目

Supported by the National Natural Science Foundation of China under Grant (60904005),and the Hubei Provincial Natural Science Foundation of China under Grant(2009CDB026) (60904005)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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