On the p th moment integral input‐to‐state stability and input‐to‐state stability criteria for impulsive stochastic functional differential equations

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4688 ◽

2019 ◽

Vol 29 (16) ◽

pp. 5609-5620 ◽

Author(s):

Wei Hu ◽

Quanxin Zhu ◽

Hamid Reza Karimi

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Stability Criteria ◽

Functional Differential ◽

Stochastic Functional ◽

Moment Integral

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New Type of Stability Criteria for Stochastic Functional Differential Equations via Lyapunov Functions

SIAM Journal on Control and Optimization ◽

10.1137/130948203 ◽

2014 ◽

Vol 52 (4) ◽

pp. 2319-2347 ◽

Author(s):

Xueyan Zhao ◽

Feiqi Deng

Keyword(s):

Differential Equations ◽

Lyapunov Functions ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Stability Criteria ◽

New Type ◽

Functional Differential ◽

Type Of Stability ◽

Stochastic Functional

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Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.02.011 ◽

2009 ◽

Vol 355 (2) ◽

pp. 811-820 ◽

Author(s):

Svetlana Janković ◽

Jelena Randjelović ◽

Miljana Jovanović

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Stability Criteria ◽

Functional Differential ◽

Stochastic Functional

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On the pth moment exponential stability criteria of neutral stochastic functional differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.02.030 ◽

2007 ◽

Vol 326 (1) ◽

pp. 266-280 ◽

Author(s):

Jelena Randjelović ◽

Svetlana Janković

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Stability Criteria ◽

Pth Moment Exponential Stability ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

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Existence results for impulsive delayed neutral stochastic functional differential equations with noncompact semigroup

Stochastics ◽

10.1080/17442508.2021.1873340 ◽

2021 ◽

pp. 1-18

Author(s):

Dongdong Gao ◽

Jianli Li

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Existence Results ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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Global attracting sets of stochastic functional differential equations driven by a square integrable Lévy martingale

Afrika Matematika ◽

10.1007/s13370-021-00890-w ◽

2021 ◽

Author(s):

Abdelfouad Bakka ◽

Salah Hajji

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non-Lipschitz conditions

Advances in Difference Equations ◽

10.1186/1687-1847-2013-151 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Fengying Wei ◽

Yuhua Cai

Keyword(s):

Differential Equations ◽

Infinite Delay ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Lipschitz Conditions ◽

Stochastic Functional ◽

Stability Of The Solution

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Large Deviations for Stochastic Functional Differential Equations with Infinite Delay

Indian Journal of Industrial and Applied Mathematics ◽

10.5958/1945-919x.2020.00015.8 ◽

2020 ◽

Vol 11 (2) ◽

pp. 222-233

Author(s):

Shruthi Gopal ◽

M. Suvinthra

Keyword(s):

Differential Equations ◽

Large Deviations ◽

Infinite Delay ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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Remarks and corrections on “An existence theorem for stochastic functional differential equations with delays under weak assumptions, Statistics and Probability Letters 78, 2008” by N. Halidias and Y. Ren

Statistics & Probability Letters ◽

10.1016/j.spl.2009.07.021 ◽

2009 ◽

Vol 79 (20) ◽

pp. 2220-2222 ◽

Author(s):

Nikolaos Halidias

Keyword(s):

Differential Equations ◽

Existence Theorem ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Statistics And Probability ◽

Functional Differential ◽

Stochastic Functional

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Stability of hybrid stochastic functional differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.03.064 ◽

2019 ◽

Vol 346 ◽

pp. 832-841 ◽

Author(s):

Dehao Ruan ◽

Liping Xu ◽

Jiaowan Luo

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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Attraction, stability and robustness for stochastic functional differential equations with infinite delay

10.1016/j.automatica.2011.07.001 ◽

2011 ◽

Vol 47 (10) ◽

pp. 2224-2232 ◽

Author(s):

Fuke Wu ◽

Shigeng Hu

Keyword(s):

Differential Equations ◽

Infinite Delay ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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