About stability of delay differential equations with square integrable level of stochastic perturbations

DOI10.1016/j.aml.2018.10.004zbMath1426.60082OpenAlexW2898540720WikidataQ129047495 ScholiaQ129047495MaRDI QIDQ1726576

Leonid Shaikhet

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.004

zbMATH Keywords

delay differential equationsasymptotic mean square stabilityfading stochastic perturbations

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)

Related Items (6)

Behavior of solution of stochastic delay differential equation with additive fading perturbations ⋮ About stability of difference equations with continuous time and fading stochastic perturbations ⋮ About stability of difference equations with square summable level of stochastic perturbations ⋮ Behavior of solution of stochastic difference equation with continuous time under additive fading noise ⋮ Stability of delay differential equations with fading stochastic perturbations of the type of white noise and Poisson's jumps ⋮ Stability of delay evolution equations with fading stochastic perturbations

Cites Work

• Determination of the inertia of a partitioned Hermitian matrix
• Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
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