Results 21 to 30 of about 139,779 (279)

Approximate Moment Functions for Logistic Stochastic Differential Equations

open access: yesNumerical Algorithms, 2023
Abstract In this paper, we introduce an iterative procedure for approximate moment functions of logistic stochastic differential equations. We first reduce the solutions of the moment functions of such an equation to an infinite system of linear ordinary differential equations.
Coskun Çetin, Jasmina Dordevic
openaire   +2 more sources

Indefinite Linear-Quadratic Stochastic Control Problem for Jump-Diffusion Models with Random Coefficients: A Completion of Squares Approach

open access: yesMathematics, 2021
In this paper, we study the indefinite linear-quadratic (LQ) stochastic optimal control problem for stochastic differential equations (SDEs) with jump diffusions and random coefficients driven by both the Brownian motion and the (compensated) Poisson ...
Jun Moon, Jin-Ho Chung
doaj   +1 more source

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

open access: yesAdvances in Difference Equations, 2021
This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi   +3 more
doaj   +1 more source

Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]

open access: yes, 2013
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
B. Liu   +21 more
core   +1 more source

Time-Optimal Control for Semilinear Stochastic Functional Differential Equations with Delays

open access: yesMathematics, 2021
The purpose of this paper is to find the time-optimal control to a target set for semilinear stochastic functional differential equations involving time delays or memories under general conditions on a target set and nonlinear terms even though the ...
Yong Han Kang, Jin-Mun Jeong
doaj   +1 more source

Numerical Solutions of Stochastic Functional Differential Equations [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2003
AbstractIn this paper, the strong mean square convergence theory is established for the numerical solutions of stochastic functional differential equations (SFDEs) under the local Lipschitz condition and the linear growth condition. These two conditions are generally imposed to guarantee the existence and uniqueness of the true solution, so the ...
openaire   +1 more source

Stability of hybrid pantograph stochastic functional differential equations [PDF]

open access: yesSystems & Control Letters, 2022
In this paper, we study a new type of stochastic functional differential equations which is called hybrid pantograph stochastic functional differential equations. We investigate several moment properties and sample properties of the solutions to the equations by using the method of multiple Lyapunov functions, such as the moment exponential stability ...
Hao Wu, Junhao Hu, Chenggui Yuan
openaire   +2 more sources

A Note on Exponential Stability for Numerical Solution of Neutral Stochastic Functional Differential Equations

open access: yesMathematics, 2022
This paper examines the numerical solutions of the neutral stochastic functional differential equation. This study establishes the discrete stochastic Razumikhin-type theorem to investigate the exponential stability in the mean square sense of the Euler ...
Qi Wang, Huabin Chen, Chenggui Yuan
doaj   +1 more source

Impulsive stabilization of stochastic functional differential equations

open access: yesApplied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Liu 0015, Xinzhi Liu, Wei-Chau Xie
openaire   +1 more source

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