[PDF] Top 20 Stability Theorems for Stochastic Differential Equations (S.D.E.’s) with Memory (Part 2)
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Stability Theorems for Stochastic Differential Equations (S.D.E.’s) with Memory (Part 2)
... Here stochastic differential equations with memory means delay stochastic differential equa- ...a stability theorem (for the diffusion of the ...the stability theorem of section three ... See full document
9
Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non Lipschitz Coefficients
... and stability for various sto- chastic differential and integrodifferential systems have been extensively studied by many researchers; see, for instance, 1–6 and the references ...neutral stochastic ... See full document
13
Analysis of stability for stochastic delay integro differential equations
... to stochastic delay integro-differential ...the stability of the semi-implicit Euler method for linear stochastic delay integro-differential ...mean-square stability of the ... See full document
13
Exponential stability of the Euler-Maruyama method for neutral stochastic functional differential equations with jumps
... exponential stability of trivial solution and the numerical solution for neutral stochastic func- tional differential equations (NSFDEs) with jumps is ...The stability includes the ... See full document
16
Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations
... for stochastic differential equations (SDEs) has recently attracted an increasing ...of stability, i.e., almost sure stability [–] and moment stability [–], of the numerical ... See full document
8
Stability of stochastic differential equations in infinite dimensions
... differential equations, please refer to Lakshmikantham et ...of stability of an impulsive control scheme is equivalent to the stability of trivial solution of an impulsive differential equation are ... See full document
203
Well-posedness of delay parabolic equations with unbounded operators acting on delay terms
... delay differential equation dv(t) dt + Av(t) = B(t)v(t – ω ) + f(t), t ≥ 0; v(t) = g(t) (– ω ≤ t ≤ 0) in an arbitrary Banach space E with the unbounded linear operators A and B(t) in E with dense domains D(A) ⊆ ... See full document
15
A note on the solutions of neutral SFDEs with infinite delay
... Stochastic differential equations (SDEs) are well known to model problems from many areas of science and ...the Stochastic Differential Equations in Science and Engineering, in ... See full document
11
Convergence and stability of stochastic parabolic functional differential equations
... years, stochastic parabolic partial differential equations have received a great deal of attention due to their important applications in biological, control engineering, economics, physics, social ... See full document
12
Stability for a class of semilinear fractional stochastic integral equations
... The stability of stochastic systems driven by Brownian motion has also been ...this equations in order to investigate the sta- bility of random ...integrodifferential equations with an Itô ... See full document
20
Effect of randomly fluctuating environment on autotroph herbivore model system
... Ito stochastic differential ...the stability properties of the steady state, the system of ...Ito-type stochastic differential equations (nonlinear coupled bivariate Langevin ... See full document
14
Bounded solutions for fuzzy integral equations
... point theorems for fuzzy mappings, an important tool for showing existence and uniqueness of solutions to fuzzy differential and integral equations, have recently been proved by various authors, see ... See full document
6
Almost sure exponential stability of hybrid stochastic functional differential equations
... hybrid stochastic differential equation (SDE) dy(t) = f (y(t), r(t), t)dt +g(y(t), r(t), t)dB(t) is almost surely exponentially stable, then there exists a positive number τ ∗ such that the SFDE is also ... See full document
19
Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
... Abstract Stability criteria for stochastic differential delay equation (SDDE) have been studied intensively for the past few ...delay equations where their coefficients are either linear or ... See full document
18
Existence and exponential stability in the pth moment for impulsive neutral stochastic integro differential equations driven by mixed fractional Brownian motion
... The differential equation is an important tool to describe the law of development and change of things, and random disturbance is inevitable, thus many practical problems can be modeled by stochastic ... See full document
19
Stability of numerical method for semi linear stochastic pantograph differential equations
... of stability are somewhat restrictive as applied to prac- tical ...semi-linear stochastic pantograph differential equations is general mean-square ... See full document
11
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
... exponential stability of neutral stochastic functional differential equations, and in this paper, we shall further our study in this ...neutral stochastic functional differential ... See full document
14
Mean-field backward doubly stochastic differential equations and related SPDEs
... doubly stochastic differential equation and study the regularity of its solution with respect to x, which is the initial condition of the McKean-Vlasov ... See full document
20
Some examples of the spatial evolution of two parameter processes with non adapted initial conditions
... We are in fact able to write a system of stochastic differential equations which describe the spatial evolution of solutions, such that each equation is driven by a martingale with respec[r] ... See full document
156
Existence and uniqueness of solutions for a class of infinite horizon systems derived from optimal control
... In [2], Lions has discussed the existence and uniqueness of solutions for system (1.5) and gave an existence and uniqueness result. In [1], Hu and Peng considered the existence and uniqueness of solutions for a class of ... See full document
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