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

Download Full-text

Novel criteria for exponential stability in mean square of stochastic functional differential equations

Proceedings of the American Mathematical Society ◽

10.1090/proc/14994 ◽

2020 ◽

Vol 148 (8) ◽

pp. 3427-3436 ◽

Author(s):

Pham Huu Anh Ngoc

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

Download Full-text

On exponential stability in mean square of neutral stochastic functional differential equations

Systems & Control Letters ◽

10.1016/j.sysconle.2021.104965 ◽

2021 ◽

Vol 154 ◽

pp. 104965

Author(s):

Pham Huu Anh Ngoc

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

Download Full-text

On the exponential stability in mean square of neutral stochastic functional differential equations

Systems & Control Letters ◽

10.1016/s0167-6911(99)00021-3 ◽

1999 ◽

Vol 37 (4) ◽

pp. 207-215 ◽

Author(s):

Kai Liu ◽

Xuewen Xia

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

Download Full-text

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 ◽

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

Download Full-text

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 ◽

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

Download Full-text

Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay

Acta Applicandae Mathematicae ◽

10.1007/s10440-021-00426-1 ◽

2021 ◽

Vol 174 (1) ◽

Author(s):

Zhi Li ◽

Liping Xu

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Infinite Delay ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

Download Full-text

Mean square exponential stability for stochastic functional differential equations with impulses

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2013.13002 ◽

2013 ◽

Vol 1 ◽

pp. 15-22

Author(s):

Nan Ding

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Mean Square Exponential Stability ◽

Functional Differential ◽

Stochastic Functional

Download Full-text

Almost sure and mean square exponential stability of numerical solutions for neutral stochastic functional differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.887699 ◽

2014 ◽

Vol 92 (1) ◽

pp. 132-150 ◽

Author(s):

Zhanhua Yu

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Numerical Solutions ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Mean Square Exponential Stability ◽

Functional Differential ◽

Stochastic Functional

Download Full-text

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

Download Full-text

A new approach to mean square exponential stability of stochastic functional differential equations

IEEE Control Systems Letters ◽

10.1109/lcsys.2020.3042479 ◽

2020 ◽

pp. 1-1

Author(s):

Pham Huu Anh Ngoc

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

New Approach ◽

Mean Square Exponential Stability ◽

Functional Differential ◽

Stochastic Functional

Download Full-text