The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay

DOI10.1142/s0219493723500429zbMath1527.60049OpenAlexW4384930868MaRDI QIDQ6060954

Yejuan Wang, Tomás Caraballo Garrido, Yarong Liu

Publication date: 30 November 2023

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493723500429

zbMATH Keywords

nonlinear multiplicative noisepantograph delaynontrivial equilibrium solutionmoment general stabilityalmost sure general stability

Mathematics Subject Classification ID

Gaussian processes (60G15) Stability in context of PDEs (35B35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

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• Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
• Almost sure exponential stability of numerical solutions for stochastic delay differential equations
• Polynomial stability for perturbed stochastic differential equations with respect to semimartingales
• Polynomial stability of exact solution and a numerical method for stochastic differential equations with time-dependent delay
• Almost sure exponential stability of numerical solutions for stochastic pantograph differential equations
• Almost sure stability with general decay rate of exact and numerical solutions for stochastic pantograph differential equations
• On the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noise
• Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay
• Stability of numerical solutions for the stochastic pantograph differential equations with variable step size
• Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations
• Razumikhin-type theorems on the moment stability of the exact and numerical solutions for the stochastic pantograph differential equations
• Razumikhin-type theorems on general decay stability of stochastic functional differential equations with infinite delay
• Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations
• Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
• Ergodicity for Infinite Dimensional Systems
• On a Functional Differential Equation
• Almost Sure Exponential Stability of Stochastic Differential Delay Equations
• Stochastic Equations in Infinite Dimensions

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