Positivity and stabilisation for nonlinear stochastic delay differential equations

DOI10.1080/17442500802214097zbMath1162.60019OpenAlexW2158710666MaRDI QIDQ3612252

John A. D. Appleby, Xuerong Mao, Cónall Kelly, Aleksandra Rodkina

Publication date: 3 March 2009

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442500802214097

zbMATH Keywords

uniquenesspositivitystabilisationnonlinear stochastic delay differential equationsdestabilisation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Generation, random and stochastic difference and differential equations (37H10)

Related Items (2)

Stabilisation of difference equations with noisy prediction-based control ⋮ Asymptotic stability and continuity of nonlinear hybrid stochastic differential equation with randomly occurring delay

Cites Work

• Stabilization of stationary solutions of evolution equations by noise
• On stochastic stabilization of difference equations
• On the existence, uniqueness, convergence and explosions of solutions of systems of stochastic integral equations
• Stochastic stabilization and destabilization
• Stochastic stabilization of differential systems with general decay rate
• Stochastic stabilisation of functional differential equations
• Stability of fast periodic systems
• Stabilization of Linear Systems by Noise
• Stabilization and Destabilization of Nonlinear Differential Equations by Noise
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