Razumikhin-Type Theorems in the Problem on Instability of Nonautonomous Equations with Finite Delay
نویسندگان
چکیده
منابع مشابه
Periodicity in a System of Differential Equations with Finite Delay
The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
متن کاملRazumikhin-Type Theorems on p-th Moment Stability for Stochastic Switching Nonlinear Systems with Delay
This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumikhin methods, some sufficient conditions are derived to check the stability of stochastic switching nonlinear systems with delay. One numerical example is provided to demonstrate the effectiveness of the re...
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 کاملRazumikhin Type Theorems on Exponential Stability of Neutral Stochastic Functional Diierential Equations
Recently we initiated in 11] the study of exponential stability of neutral stochastic functional diierential 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 diierent from those used in our previous paper 11]. The results obtained in 11] can only be appl...
متن کاملStochastic 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 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: Funkcialaj Ekvacioj
سال: 2004
ISSN: 0532-8721
DOI: 10.1619/fesi.47.187