The p-th moment exponential stability of neutral stochastic functional differential equations
نویسندگان
چکیده
منابع مشابه
The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations
In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations. This kind of equations arises in problems related to coupled oscillators in a noisy environment, or in viscoeslastic materials under random or stochastic influences.
متن کاملSample Path Exponential Stability of Stochastic Neutral Partial Functional Differential Equations
In this paper, we study the almost sure moment exponential stability of mild solutions of stochastic neutral partial functional differential equations in real separable Hilbert spaces using local Lipschitz conditions. Even in the special case, when the neutral term is zero, the results obtained here appear to be new and complement the study in [Taniguchi, et al, J. Differential Eqns. 181 (2002)...
متن کاملRazumikhin-type Theorems on Exponential Stability of Neutral Stochastic Functional Differential Equations
Recently, we initiated in [Systems Control Lett., 26 (1995), pp. 245–251] the study of exponential stability of neutral stochastic functional differential equations, and in this paper, we shall further our study in this area. We should emphasize that the main technique employed in this paper is the well-known Razumikhin argument and is completely different from those used in our previous paper ...
متن کاملAsymptotic stability of neutral stochastic functional integro-differential equations*
This paper is concerned with the existence and asymptotic stability in the p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given in [8], and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achie...
متن کاملAsymptotic Stability of Stochastic Impulsive Neutral Partial Functional Differential Equations
In this paper the authors study the existence and asymptotic stability in p-th moment of mild solutions to stochastic neutral partial differential equation with impulses. Their method for investigating the stability of solutions is based on the fixed point theorem.
متن کاملذخیره 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: Filomat
سال: 2006
ISSN: 0354-5180
DOI: 10.2298/fil0601059j