Lasalle-type theorems for general nonlinear stochastic functional differential equations by multiple Lyapunov functions

DOI10.1155/2014/486191zbMath1470.60173OpenAlexW2055960637WikidataQ59038670 ScholiaQ59038670MaRDI QIDQ1724227

Xiao-Jing Zhong, Fei Qi Deng, Xue-yan Zhao

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/486191

zbMATH Keywords

Lyapunov functions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Ordinary differential equations and systems with randomness (34F05)

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Cites Work

• Asymptotic stabilities of stochastic functional differential equations
• Stability of functional differential equations
• Stochastic versions of the LaSalle theorem
• LaSalle-type theorems for stochastic differential delay equations
• Introduction to functional differential equations
• Attraction, stability and boundedness for stochastic differential delay equations.
• Stability of regime-switching stochastic differential equations
• The improved LaSalle-type theorems for stochastic functional differential equations
• Stability theory for ordinary differential equations
• Some contributions to stochastic asymptotic stability and boundedness via multiple Lyapunov functions
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