Boundedness and exponential stability of highly nonlinear stochastic differential equations

In this article we consider nonlinear stochastic differential systems and use Lyapunov functions to study the boundedness and exponential asymptotic stability of solutions. We provide several examples in which we consider stochastic systems with unbounded terms.

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Published in:Electronic journal of differential equations 2009-11, Vol.2009 (143), p.1-10
Main Authors: Youssef Raffoul, Ruihua Liu
Format: Article
Language:English
Subjects:
Boundedness
exponential stability
Lyapunov function
stochastic differential equation
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container_title Electronic journal of differential equations
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creator Youssef Raffoul
Ruihua Liu
description In this article we consider nonlinear stochastic differential systems and use Lyapunov functions to study the boundedness and exponential asymptotic stability of solutions. We provide several examples in which we consider stochastic systems with unbounded terms.
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ispartof Electronic journal of differential equations, 2009-11, Vol.2009 (143), p.1-10
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source Directory of Open Access Journals
subjects Boundedness
exponential stability
Lyapunov function
stochastic differential equation
title Boundedness and exponential stability of highly nonlinear stochastic differential equations
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