Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate
نویسندگان
چکیده
This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon construction appropriate Lyapunov functionals. Furthermore, we provide numerical examples to validate effectiveness abstract results this paper.
منابع مشابه
Lyapunov Functionals and Stability of Stochastic Functional Differential Equations - Preamble
Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, eBooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte.
متن کاملGeneral Decay Stability for Stochastic Functional Differential Equations with Infinite Delay
So far there are not many results on the stability for stochastic functional differential equations with infinite delay. Themain aim of this paper is to establish some new criteria on the stability with general decay rate for stochastic functional differential equations with infinite delay. To illustrate the applications of our theories clearly, this paper also examines a scalar infinite delay ...
متن کاملComputational 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 کاملPractical Stability of Caputo Fractional Differential Equations by Lyapunov Functions
The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given fractional differential equation. Comparison results using this definition for scalar fractional differential equations are presented. Several ...
متن کاملAttraction, stability and boundedness for stochastic differential delay equations
So far there are not many results on the attractor for the solutions of stochastic differential delay equations. The main aim of this paper is to establish new results on the attractor, from which follow several new criteria on the almost surely asymptotic stability for stochastic differential delay equations. As another by product, a number of new criteria on the boundedness of the solutions a...
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2022
ISSN: ['1417-3875']
DOI: https://doi.org/10.14232/ejqtde.2022.1.60