Boundedness analysis of stochastic pantograph differential systems

DOI10.1016/j.aml.2020.106630zbMath1466.60124OpenAlexW3042758924MaRDI QIDQ2006330

Hongxiao Hu, Liguang Xu

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106630

zbMATH Keywords

exponential stabilityexponential ultimate boundednessstochastic pantograph differential systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (9)

Boundedness analysis of non-autonomous stochastic differential systems with Lévy noise and mixed delays ⋮ Study of time fractional order problems with proportional delay and controllability term via fixed point approach ⋮ pth moment polynomial input-to-state stability of switched neutral pantograph stochastic hybrid systems with Lévy noise ⋮ Boundedness analysis of neutral stochastic systems driven by \(G\)-Brownian motion ⋮ The \(p\)th moment asymptotical ultimate boundedness of pantograph stochastic differential equations with time-varying coefficients ⋮ Boundedness analysis of neutral stochastic differential systems with mixed delays ⋮ PERIODIC SOLUTIONS FOR A STOCHASTIC CHEMOSTAT MODEL WITH IMPULSIVE PERTURBATION ON THE NUTRIENT ⋮ Boundedness analysis of stochastic delay differential equations with Lévy noise ⋮ Stability with general decay rate of hybrid neutral stochastic pantograph differential equations driven by Lévy noise

Cites Work

• Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains
• The \(\alpha \)th moment stability for the stochastic pantograph equation
• Existence theorems for periodic Markov process and stochastic functional differential equations
• Existence and uniqueness theorems for periodic Markov process and applications to stochastic functional differential equations
• \(p\)th moment exponential stability of highly nonlinear neutral pantograph stochastic differential equations driven by Lévy noise
• Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
• Exponential ultimate boundedness of impulsive stochastic delay differential equations
• Almost sure and moment asymptotic boundedness of stochastic delay differential systems
• Lyapunov stability of the generalized stochastic pantograph equation
• Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains
• A Galerkin-like approach to solve multi-pantograph type delay differential equations
• Boundedness and stability analysis for impulsive stochastic differential equations driven by G-Brownian motion

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