Razumikhin-type technique on stability of exact and numerical solutions for the nonlinear stochastic pantograph differential equations
From MaRDI portal
Publication:1731605
DOI10.1007/s10543-018-0723-zzbMath1418.60057OpenAlexW2890967797WikidataQ129323190 ScholiaQ129323190MaRDI QIDQ1731605
Publication date: 13 March 2019
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-018-0723-z
Razumikhin-type technique\(\alpha \)th moment polynomial stabilityEuler-Maruyama and backward Euler-Maruyama methodglobal \(\alpha \)th momentstochastic pantograph differential equation
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
Practical stability in relation to a part of variables of stochastic pantograph differential equations ⋮ Asymptotical mean-square stability of linearθ-methods for stochastic pantograph differential equations: variable stepsize and transformation approach ⋮ Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay ⋮ Stability and boundedness analysis of stochastic coupled systems with pantograph delay ⋮ Dynamical behaviour of the light pulses through the optical fiber: two nonlinear Atangana conformable fractional evolution equations ⋮ Stability of numerical solutions for the stochastic pantograph differential equations with variable step size ⋮ \(p\)th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching ⋮ Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay ⋮ Stability with general decay rate of hybrid neutral stochastic pantograph differential equations driven by Lévy noise ⋮ Adaptive output feedback regulation for a class of uncertain feedforward stochastic nonlinear systems
Cites Work
- Unnamed Item
- 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
- On the pathwise approximation of stochastic differential equations
- A Razumikhin-type theorem for neutral stochastic functional differential equations with unbounded delay
- The \(\alpha \)th moment stability for the stochastic pantograph equation
- Almost sure exponential stability of numerical solutions for stochastic delay differential equations
- Razumikhin-type theorems on exponential stability of stochastic functional differential equations with infinite delay
- Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations
- Stability of functional differential equations
- Introduction to functional differential equations
- Razumikhin-type theorems on exponential stability of stochastic functional differential equations
- 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
- A family of fully implicit Milstein methods for stiff stochastic differential equations with multiplicative noise
- Stability and boundedness of nonlinear hybrid stochastic differential delay equations
- Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations
- A new Razumikhin theorem for delay difference equations
- Convergence and stability of a numerical method for nonlinear stochastic pantograph equations
- Razumikhin-type theorems on general decay stability of stochastic functional differential equations with infinite delay
- Asymptotic mean-square stability of two-step methods for stochastic ordinary differential equations
- Razumikhin method and exponential stability of hybrid stochastic delay interval systems
- Razumikhin-type stability theorems for discrete delay systems
- Razumikhin-type theorems on general decay stability and robustness for stochastic functional differential equations
- Razumikhin-Type Theorems on Exponential Stability of Neutral Stochastic Differential Equations
- Razumikhin‐type approach on state feedback of stochastic high‐order nonlinear systems with time‐varying delay
- Razumikhin-Type Theorems on $p$th Moment Exponential Stability of Impulsive Stochastic Delay Differential Equations