Oscillation, stability, and boundedness of second-order differential systems with random impulses

DOI10.1016/j.camwa.2004.12.009zbMath1085.34044OpenAlexW2080134649MaRDI QIDQ2387369

Shujin Wu, Yongrui Duan

Publication date: 2 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.12.009

zbMATH Keywords

stabilityoscillationboundednesslinear differential systemsrandom impulses

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations with impulses (34A37) Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05)

Related Items (21)

Stability analysis of second-order differential systems with Erlang distribution random impulses ⋮ Existence and uniqueness of solutions to random impulsive differential systems ⋮ 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 of random impulsive abstract neutral non-autonomous differential inclusions with delays ⋮ Existence and uniqueness of stochastic differential equations with random impulses and Markovian switching under non-Lipschitz conditions ⋮ Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(p\)-moment stability of functional differential equations with random impulses ⋮ Existence, uniqueness and stability results of random impulsive semilinear differential systems ⋮ Unnamed Item ⋮ A survey on oscillation of impulsive ordinary differential equations ⋮ The Euler scheme for random impulsive differential equations ⋮ Existence of periodic solutions of second-order nonlinear random impulsive differential equations via topological degree theory ⋮ Existence of solutions for first-order Hamiltonian random impulsive differential equations with Dirichlet boundary conditions ⋮ Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions ⋮ Analysis of a periodic single species population model involving constant impulsive perturbation ⋮ Existence results for fractional neutral functional differential equations with random impulses ⋮ Existence, uniqueness and stability of random impulsive neutral partial differential equations

Cites Work

• Unnamed Item
• Exponential stability of functional differential systems with impulsive effect on random moments
• Oscillation and nonoscillation of second order linear differential equations
• Oscillation and other properties of linear impulsive and nonimpulsive delay equations
• Oscillation properties of a second-order impulsive delay differential equation
• 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
• Perturbation theorems for systems with impulse effect
• Asymptotic behavior of differential systems with impulse effect

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