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Stability of Impulsive Stochastic Neutral Partial Differential Equations With Infinite Delays
Author(s) -
Jiang Feng,
Shen Yi
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.491
Subject(s) - mathematics , fixed point theorem , stability (learning theory) , stochastic partial differential equation , moment (physics) , exponential stability , fixed point , banach space , partial differential equation , mathematical analysis , stochastic differential equation , banach fixed point theorem , differential equation , physics , computer science , nonlinear system , classical mechanics , quantum mechanics , machine learning
In this paper, we study the existence and asymptotic stability in the p th moment of the mild solutions to impulsive stochastic neutral partial differential equations with infinite delays. Sufficient conditions ensuring the stability of the impulsive stochastic system are established. The results are obtained via the Banach fixed point theorem.