Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

DOI10.1080/17442508.2022.2028788zbMath1498.60204OpenAlexW4210261796WikidataQ115295054 ScholiaQ115295054MaRDI QIDQ5041054

Lassaad Mchiri, Mohamed Rhaima, Tomás Caraballo Garrido

Publication date: 18 October 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2022.2028788

zbMATH Keywords

Ulam-Hyers-Rassias stabilityGronwall inequalityneutral stochastic functional differential equationsUlam-Hyers stability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability, separation, extension, and related topics for functional equations (39B82) Ordinary differential equations and systems with randomness (34F05) Stability theory for random and stochastic dynamical systems (37H30)

Related Items (11)

On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator ⋮ On a non-local Sobolev-Galpern-type equation associated with random noise ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ Ulam-Hyers stability for an impulsive Caputo-Hadamard fractional neutral stochastic differential equations with infinite delay ⋮ Ulam type stability for Caputo–Hadamard fractional functional stochastic differential equations with delay ⋮ Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains ⋮ Asymptotic stability in distribution of highly nonlinear stochastic differential equations with \(G\)-Brownian motion ⋮ Ulam–Hyers stability of pantograph fractional stochastic differential equations ⋮ Ulam–Hyers stability of fractional Itô–Doob stochastic differential equations ⋮ Existence and stability of Ulam-Hyers for neutral stochastic functional differential equations ⋮ Ulam-Hyers-Rassias stability of neutral functional integrodifferential evolution equations with non-instantaneous impulses on an unbounded interval

Cites Work

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• Exponential stability in mean square of neutral stochastic differential functional equations
• Stability in distribution of neutral stochastic functional differential equations
• On a modified Hyers-Ulam sequence
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces
• Mean square Hyers-Ulam stability of stochastic differential equations driven by Brownian motion
• Ulam stabilities for nonlinear Volterra delay integro-differential equations
• On the Stability of the Linear Mapping in Banach Spaces
• Razumikhin-Type Theorems on Exponential Stability of Neutral Stochastic Differential Equations
• Ulam Stabilities via Pachpatte's Inequality for Volterra-Fredholm Delay Integrodifferential Equations in Banach Spaces
• Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces via Pachpatte’s Inequality
• Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations
• Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type
• Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables

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