\(p\)-moment stability of functional differential equations with random impulses

DOI10.1016/j.camwa.2006.04.026zbMath1145.34048OpenAlexW2045303467MaRDI QIDQ2477231

Xiaolin Guo, Yong Zhou, Shujin Wu

Publication date: 13 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.04.026

zbMATH Keywords

Lyapunov functionfunctional differential equation\(p\)-moment stabilityrandom impulseRazumikhin condition

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (14)

Finite-time stochastic stability of random impulsive positive system ⋮ Existence, uniqueness and stability results for semilinear integrodifferential non-local evolution equations with Random impulse ⋮ The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness ⋮ The existence and exponential stability for random impulsive integrodifferential equations of neutral type ⋮ Existence results for quasilinear random impulsive abstract differential inclusions in Hilbert space ⋮ Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays ⋮ Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments ⋮ Unnamed Item ⋮ Stochastic input-to-state stability of random impulsive nonlinear systems ⋮ Unnamed Item ⋮ Existence, uniqueness and stability results of random impulsive semilinear differential systems ⋮ Unnamed Item ⋮ Global existence and stability results for mild solutions of random impulsive partial integro-differential equations ⋮ Existence, uniqueness and stability of random impulsive neutral partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential stability of functional differential systems with impulsive effect on random moments
• Existence and uniqueness of solutions to random impulsive differential systems
• Stability of the zero solution of impulsive differential equations by the Lyapunov second method
• Boundedness of nonlinear differential systems with impulsive effect on random moments
• On stability of perturbed impulsive differential systems
• Exponential stability of linear delay impulsive differential equations
• Asymptotic behavior of solutions of impulsive delay differential equations
• Impulsive stabilization of functional differential equations via Lyapunov functionals
• Oscillation, stability, and boundedness of second-order differential systems with random impulses
• Stability Analysis in Terms of Two Measures for Impulsive Differential Equations
• Perturbation theorems for systems with impulse effect
• Impulsive stabilization of functional differential equations by Lyapunov–Razumikhin functions
• Impulsive stabilization of nonlinear systems
• Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics
• Uniform asymptotic stability of impulsive delay differential equations
• Stability and boundedness for impulsive functional differential equations with infinite delays
• Stability for nonlinear delay differential equations of unstable type under impulsive perturbations

This page was built for publication: \(p\)-moment stability of functional differential equations with random impulses