Controllability of Second Order Stochastic Impulsive Differential Equations in Hilbert Spaces

The exact controllability of second order stochastic impulsive differential equations in Hilbert spaces is studied.By using the Holder＇s inequality,stochastic analysis and fixed point strategy,some sufficient conditions are given,but no compactness condition is imposed on the cosine family of operat...

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Published in东华大学学报（英文版） Vol. 33; no. 3; pp. 375 - 380
Main Author 李美丽 田峻钢 李毓媛
Format Journal Article
LanguageEnglish
Published College of Sciences, Donghua University, Shanghai 201620, China%College of Information Science and Technology, Donghua University, Shanghai 201620, China 30.06.2016
Subjects
controllability
impulsive differential equations
stochastic differential equations
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ISSN1672-5220

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Abstract The exact controllability of second order stochastic impulsive differential equations in Hilbert spaces is studied.By using the Holder＇s inequality,stochastic analysis and fixed point strategy,some sufficient conditions are given,but no compactness condition is imposed on the cosine family of operators.This work improves some previous results without impulses or stochastic factors.
AbstractList The exact controllability of second order stochastic impulsive differential equations in Hilbert spaces is studied.By using the Holder＇s inequality,stochastic analysis and fixed point strategy,some sufficient conditions are given,but no compactness condition is imposed on the cosine family of operators.This work improves some previous results without impulses or stochastic factors.
Author 李美丽 田峻钢 李毓媛
AuthorAffiliation College of Sciences, Donghua University, Shanghai 201620, China College of Information Science and Technology, Donghua University, Shanghai 201620, China
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impulsive differential equations
stochastic differential equations
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controllability stochastic differential equations impulsive differential equations
LI Mei-li, TIAN Jun-gang , LI Yu-yuan （1. College of Sciences, Donghua University, Shanghai 201620, China; 2 College of Information Science and Technology, Donghua University, Shanghai 201620, China）
The exact controllability of second order stochastic impulsive differential equations in Hilbert spaces is studied.By using the Holder＇s inequality,stochastic analysis and fixed point strategy,some sufficient conditions are given,but no compactness condition is imposed on the cosine family of operators.This work improves some previous results without impulses or stochastic factors.
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Title Controllability of Second Order Stochastic Impulsive Differential Equations in Hilbert Spaces
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