A Note on the LaSalle-Type Theorems for Stochastic Differential Delay Equations

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Note on the LaSalle-Type Theorems for Stochastic Differential Delay Equations

In his earlier paper [5] the author considered the n-dimensional stochastic differential delay equation dx t = f x t x t − τ t dt + g x t x t − τ t dB t (1.1) on t ≥ 0 with initial data x θ −τ ≤ θ ≤ 0 = ξ ∈ C 0 −τ 0 R . Here B t = B1 t Bm t T was an m-dimensional Brownian motion defined on the complete probability space t t≥0 with a filtration t t≥0 satisfying the usual conditions (i.e., right ...

متن کامل

Stochastic LaSalle-Type Theorems for Delay Equations

The main aim of this paper is to establish the LaSalle-type asymptotic convergence theorems for the solutions of stochastic diierential delay equations. An example is given to demonstrate how our new theorems can be used to discuss stochastic stability and boundedness for stochastic diierential delay equations.

متن کامل

Computational Method for Fractional-Order Stochastic Delay Differential Equations

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

متن کامل

Representation Theorems for Backward Stochastic Differential Equations

In this paper we investigate a class of backward stochastic differential equations (BSDE) whose terminal values are allowed to depend on the history of a forward diffusion. We first establish a probabilistic representation for the spatial gradient of the viscosity solution to a quasilinear parabolic PDE in the spirit of the Feynman–Kac formula, without using the derivatives of the coefficients ...

متن کامل

Stability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type

This paper examines stability analysis of two classes of improved backward Euler methods, namely split-step $(theta, lambda)$-backward Euler (SSBE) and semi-implicit $(theta,lambda)$-Euler (SIE) methods, for nonlinear neutral stochastic delay differential equations (NSDDEs). It is proved that the SSBE method with $theta, lambdain(0,1]$ can recover the exponential mean-square stability with some...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2002

ISSN: 0022-247X

DOI: 10.1006/jmaa.2001.7803