On the stochastic stability and boundedness of solutions for stochastic delay differential equation of the second order

DOI10.1155/2015/358936zbMath1336.60107OpenAlexW1999233815WikidataQ59104988 ScholiaQ59104988MaRDI QIDQ268142

A. M. A. Abou-El-Ela, R. O. A. Taie, A. I. Sadek, Ayman M. Mahmoud

Publication date: 14 April 2016

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/358936

zbMATH Keywords

boundednessstochastic stabilityLyapunov functionalstochastic delay differential equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Ordinary differential equations and systems with randomness (34F05)

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Cites Work

• On delay-dependent stability for a class of nonlinear stochastic delay-differential equations
• Asymptotic stabilities of stochastic functional differential equations
• Introduction to functional differential equations
• Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results
• Stability of regime-switching stochastic differential equations
• Asymptotic Stability and Boundedness of Stochastic Differential Equations with Respect to Semimartingales
• Some contributions to stochastic asymptotic stability and boundedness via multiple Lyapunov functions
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