On the asymptotic stability of a class of jump-diffusions of neutral type with impulses

被引:0
作者
Feng Jiang
Hua Yang
Xinquan Zhao
机构
[1] Zhongnan University of Economics and Law,School of Statistics & Mathematics
[2] Wuhan Polytechnic University,School of Mathematics & Computer Science
来源
Journal of Inequalities and Applications | / 2013卷
关键词
impulses; Poisson jump; mild solution; asymptotic stability;
D O I
暂无
中图分类号
学科分类号
摘要
This paper is concerned with the asymptotic stability in the p th moment for a class of jump-diffusions of neutral type with impulses. Sufficient conditions ensuring the stability of jump-diffusions of neutral type with impulses are established by means of the Banach fixed point theorem. The results obtained here generalize and improve some well-known results.
引用
收藏
相关论文
共 30 条
[1]  
Caraballo T(1990)Asymptotic exponential stability of stochastic partial differential equations with delay Stochastics 33 27-47
[2]  
Caraballo T(1999)Exponential stability of mild solutions of stochastic partial differential equations with delays Stoch. Anal. Appl 17 743-763
[3]  
Liu K(2008)Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps Stoch. Process. Appl 118 864-895
[4]  
Luo J(2009)Existence results of impulsive partial neutral integro-differential inclusions with infinity delay Nonlinear Anal 71 e1132-e1138
[5]  
Liu K(2002)Stability of stochastic delay equations of Ito form with jumps and Markovian switchings, and their applications in finance Theory Probab. Math. Stat 64 167-178
[6]  
Hu J(2006)Existence and uniqueness results for neutral SDEs in Hilbert spaces Stoch. Anal. Appl 24 79-95
[7]  
Liu X(2010)Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients Comput. Math. Appl 59 207-214
[8]  
Svishchuk AV(2005)Almost sure exponential stability for stochastic neutral partial functional differential equations Stochastics 77 139-154
[9]  
Kazmerchuk YI(2007)Fixed points and stability of neutral stochastic delay differential equations J. Math. Anal. Appl 334 431-440
[10]  
Mahmudov NI(2012)Stability of impulsive stochastic neutral partial differential equations with infinite delays Asian J. Control 14 1706-1709