Youssef N. Raffoul, Dan Ren
Abstract:
In this report, we provide general theorems about boundedness or bounded
in probability of solutions to nonlinear delay stochastic differential systems.
Our analysis is based on the successful construction of suitable Lyapunov
functionals. We offer several examples as application of our theorems.
Submitted March 18, 2016. Published July 18, 2016.
Math Subject Classifications: 34F05, 60H10, 65Q10.
Key Words: Stochastically bounded; bounded in probability; Lyapunov functional;
inequalities; stochastic Volterra integro-differential system.
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Youssef N. Raffoul Department of Mathematics University of Dayton Dayton, OH 45469-2316, USA email: yraffoul1@udayton.edu | |
Dan Ren Department of Mathematics University of Dayton Dayton, OH 45469-2316, USA email: dren01@udayton.edu |
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