Title :
Stability of neutral stochastic partial differential equations with infinite delays and jumps
Author :
Jiang Feng ; Shen Yi
Author_Institution :
Sch. of Stat. & Math., Zhongnan Univ. of Econ. & Law, Wuhan, China
Abstract :
In this paper, the mean square asymptotic stability of the mild solutions to neutral stochastic partial differential equations with infinite delays and jump is studied. Sufficient conditions ensuring the stability of the neutral stochastic system with infinite delays and jump are established by using the Banach fixed point theorem. Some well-known results are improved and generalized.
Keywords :
Banach spaces; asymptotic stability; numerical stability; partial differential equations; stochastic systems; Banach fixed point theorem; infinite delays; jump; mean square asymptotic stability; neutral stochastic partial differential equations; neutral stochastic system; sufficient conditions; Asymptotic stability; Delays; Educational institutions; Equations; Partial differential equations; Stability analysis; Stochastic processes; Asymptotic stability; Infinite delays; Jumps; Mild solution;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895824
