Stability in the first approximation of the trivial solution of stochastic functional-differential equations

E. F. Tsar'kov

doi:10.1007/bf01789009

Stability in the first approximation of the trivial solution of stochastic functional-differential equations

Mathematical Notes ◽

10.1007/bf01789009 ◽

1978 ◽

Vol 23 (5) ◽

pp. 404-407

Author(s):

E. F. Tsar'kov

Keyword(s):

Differential Equations ◽

Trivial Solution ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

First Approximation ◽

Functional Differential ◽

Stochastic Functional

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Stability in mean square of a trivial solution of linear stochastic functional-differential equations with variable coefficients

Ukrainian Mathematical Journal ◽

10.1007/bf01085737 ◽

1982 ◽

Vol 33 (4) ◽

pp. 367-372

Author(s):

L. I. Yasinskaya

Keyword(s):

Differential Equations ◽

Trivial Solution ◽

Functional Differential Equations ◽

Variable Coefficients ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

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Asymptotic Exponential Mean-Square Stability of the Trivial Solution of Stochastic Functional-Differential Equations

Theory of Probability and Its Applications ◽

10.1137/1121100 ◽

1977 ◽

Vol 21 (4) ◽

pp. 850-854 ◽

Cited By ~ 2

Author(s):

E. F. Tsar’kov

Keyword(s):

Differential Equations ◽

Trivial Solution ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Mean Square Stability ◽

Functional Differential ◽

Exponential Mean Square Stability ◽

Stochastic Functional

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Mean-square asymptotic stability of the trivial solution of stochastic functional-differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01090469 ◽

1980 ◽

Vol 32 (1) ◽

pp. 65-72 ◽

Cited By ~ 4

Author(s):

L. I. Yasinskaya ◽

V. K. Yasinskii

Keyword(s):

Asymptotic Stability ◽

Differential Equations ◽

Trivial Solution ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

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) ◽

Cited By ~ 5

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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 1

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

Automatica ◽

10.1016/j.automatica.2011.07.001 ◽

2011 ◽

Vol 47 (10) ◽

pp. 2224-2232 ◽

Cited By ~ 16

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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