Results 241 to 250 of about 139,088 (280)

Perturbed Nonlocal Stochastic Functional Differential Equations

Qualitative Theory of Dynamical Systems, 2020
The authors discuss the asymptotic behavior of the solution for a class of perturbed nonlocal stochastic functional differential equations. They evaluate the distance between the latter and of the unperturbed solution, in finite time-intervals, and on maximal intervals as the small perturbations tend to zero. These results non-trivially extend previous
Zhang, Qi, Ren, Yong
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Fast-slow-coupled stochastic functional differential equations

Journal of Differential Equations, 2022
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Fuke Wu, George Yin
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Stability of stochastic functional differential equations

Journal of Mathematical Physics, 1974
A system of functional differential equations with random retardation, ẋ(t) = f(t, xt), is studied, where xt(θ) = x(t + θ), η(t, ω) ≤ θ ≤ 0, − r ≤ η(t, ω) ≤ 0, and η(t, ω) is a stochastic process defined on some probability space (Ω, μ, P). Some comparison theorems are stated and proved in details under suitable assumptions on f(t, xt).
Chang, M. H., Ladde, G., Liu, P. T.
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Stochastic stabilisation of functional differential equations

Systems & Control Letters, 2005
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Appleby, John A. D., Mao, Xuerong
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Stability of stochastic functional differential equations

1992
Here we will consider the Ito type SRDE $$\left. {\begin{array}{*{20}{c}} {dx\left( t \right) = {a_1}\left( {t,{x_t}} \right)dt + {a_2}\left( {t,{x_t}} \right)d\xi \left( t \right),{\kern 1pt} t \geqslant {t_0},} \\ {{x_t}\left( \theta \right) = x\left( {t + \theta } \right),{\kern 1pt} - h \leqslant \theta \leqslant 0,{\kern 1pt} x:{J_x} \to {R^n}.
V. Kolmanovskii, A. Myshkis
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Stochastic Comparison of Solutions of Stochastic Functional Differential Equations

Zeitschrift für Analysis und ihre Anwendungen, 2007
A stochastic comparison of solutions of nonlinear stochastic functional differential equations with different drift and diffusion coefficients is obtained. Some known results are generalized.
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Stability of hybrid stochastic functional differential equations

Applied Mathematics and Computation, 2019
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Ruan, Dehao, Xu, Liping, Luo, Jiaowan
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Asymptotic stabilities of stochastic functional differential equations

Applied Mathematics and Mechanics, 2006
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Shen, Yi, Jiang, Ming-Hui, Liao, Xiao-Xin   +2 more
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Stability of stochastic functional differential equations with impulses

Applied Mathematics Letters, 2023
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Hongyu Kuang, Jianli Li
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Malliavin Calculus for Degenerate Stochastic Functional Differential Equations

Acta Applicandae Mathematicae, 2007
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