Solutions of nonlinear impulsive Itô functional-differential equations: stability by the linear approximation

DOI10.1134/S0012266113080028zbMath1287.34068MaRDI QIDQ389324

R. I. jun. Kadiev

Publication date: 20 January 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilityimpulsive Itô functional-differential equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (5)

Stability of solutions to linear impulsive systems of Itô differential equations with aftereffect with respect to initial data in part of variables ⋮ Positive invertibility of matrices and stability of Itô delay differential equations ⋮ Positive invertibility of matrices and exponential stability of impulsive systems of Itô linear differential equations with bounded delays ⋮ Stability of Impulse Systems of Two Linear Ito Differential Equations with Delay ⋮ Global stability of systems of nonlinear Itô differential equations with aftereffect and N. V. Azbelev's \(W\)-method

Cites Work

• Stability of linear impulsive Itô differential equations with bounded delays
• Applications of functional analysis and operator theory
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