\(p\)th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching

DOI10.1016/J.CNSNS.2021.105916zbMath1470.60148OpenAlexW3168597161WikidataQ115358561 ScholiaQ115358561MaRDI QIDQ2045961

Belfeki Mohsen, Mohamed Rhaima, Lassaad Mchiri, Tomás Caraballo Garrido

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105916

zbMATH Keywords

Lyapunov methodMarkovian switching\(p\)th moment exponential stabilityneutral stochastic pantograph differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (6)

Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise ⋮ ‐stability of hybrid neutral stochastic differential equations with infinite delay ⋮ On stability of numerical solutions of neutral stochastic delay differential equations with time‐dependent delay ⋮ Asymptotic stability in distribution of highly nonlinear stochastic differential equations with \(G\)-Brownian motion ⋮ Ulam–Hyers stability of pantograph fractional stochastic differential equations ⋮ Stability analysis of split-step theta method for neutral stochastic delayed neural networks

Cites Work

• Unnamed Item
• Existence, uniqueness, almost sure polynomial stability of solution to a class of highly nonlinear pantograph stochastic differential equations and the Euler-Maruyama approximation
• Stability of a class of neutral stochastic differential equations with unbounded delay and Markovian switching and the Euler-Maruyama method
• \(p\)th moment stability of impulsive stochastic delay differential systems with Markovian switching
• The \(\alpha \)th moment stability for the stochastic pantograph equation
• Almost sure exponential stability of neutral stochastic differential difference equations
• Robust stability and controllability of stochastic differential delay equations with Markovian switching.
• Continuous \(\Theta\)-methods for the stochastic pantograph equation
• Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
• Razumikhin-type technique on stability of exact and numerical solutions for the nonlinear stochastic pantograph differential equations
• Stability analysis of semi-Markov switched stochastic systems
• Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay
• On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations
• Exponential stability for nonlinear hybrid stochastic pantograph equations and numerical approximation
• On the practical global uniform asymptotic stability of stochastic differential equations
• Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
• Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control
• Some Improved Razumikhin Stability Criteria for Impulsive Stochastic Delay Differential Systems
• Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching
• Stochastic Differential Equations with Markovian Switching

This page was built for publication: \(p\)th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching