Existence and exponential stability of mild solutions for second-order neutral stochastic functional differential equation with random impulses

DOI10.11948/20190089MaRDI QIDQ6596578

Xiao-Bao Shu, Quanxin Zhu, Fei Xu, Linxin Shu

Publication date: 2 September 2024

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

zbMATH Keywords

exponential stabilityItô integralsexistence of mild solutionrandom impulsivemeasurement of noncompactsecond-order neutral stochastic functional differential equation

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stochastic functional-differential equations (34K50) Ordinary differential equations and systems with randomness (34F05)

Cites Work

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Related Items (8)

Existence of a class of doubly perturbed stochastic functional differential equations with Poisson jumps ⋮ Second-order neutral impulsive stochastic evolution equations with infinite delay: existence, uniqueness and averaging principle ⋮ Hamilton-Jacobi-Bellman equation based on fractional random impulses system ⋮ Exponential synchronization of dynamical complex networks via random impulsive scheme ⋮ Exponential stability results for second-order impulsive neutral stochastic differential equations ⋮ Analysis of a stochastic nonautonomous hybrid population model with impulsive perturbations ⋮ Exponential stability and applications of switched positive linear impulsive systems with time-varying delays and all unstable subsystems ⋮ On the approximate controllability of second-order Hilfer fractional integro-differential equations via measure of non-compactness

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