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
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)