Boundedness of nonlinear differential systems with impulsive effect on random moments

DOI10.1007/s10255-004-0157-zzbMath1078.34512OpenAlexW2019202296MaRDI QIDQ1780333

Xianshang Meng, Shujin Wu

Publication date: 7 June 2005

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0157-z

zbMATH Keywords

Lyapunov functiondifferential equations with impulsesultimate boundedness

Mathematics Subject Classification ID

Related Items (35)

Stability analysis of second-order differential systems with Erlang distribution random impulses ⋮ The existence of upper and lower solutions to second order random impulsive differential equation with boundary value problem ⋮ Oscillation, stability, and boundedness of second-order differential systems with random impulses ⋮ Existence and uniqueness of solutions to random impulsive differential systems ⋮ Existence of solutions for quasilinear random impulsive neutral differential evolution equation ⋮ Finite-time stochastic stability of random impulsive positive system ⋮ On stability of stochastic differential equations with random impulses driven by Poisson jumps ⋮ Existence, uniqueness and stability results for semilinear integrodifferential non-local evolution equations with Random impulse ⋮ Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays ⋮ 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 ⋮ Unnamed Item ⋮ Existence results for quasilinear random impulsive abstract differential inclusions in Hilbert space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence and stability results of mild solutions for random impulsive stochastic partial differential equations with noncompact semigroups ⋮ On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps ⋮ Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays ⋮ Qualitative behaviour of stochastic integro-differential equations with random impulses ⋮ Region of attraction analysis of nonlinear stochastic systems using polynomial chaos expansion ⋮ Robust exponential stability results for uncertain infinite delay differential systems with random impulsive moments ⋮ The existence and exponential stability of random impulsive fractional differential equations ⋮ Unnamed Item ⋮ Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays ⋮ Unnamed Item ⋮ Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis ⋮ \(p\)-moment stability of functional differential equations with random impulses ⋮ Existence, uniqueness and stability results of random impulsive semilinear differential systems ⋮ Unnamed Item ⋮ The Euler scheme for random impulsive differential equations ⋮ 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 ⋮ Existence, uniqueness and stability of random impulsive neutral partial differential equations ⋮ Some Characterization Results of Nonlocal Special Random Impulsive Evolution Differential Equations ⋮ A study on the mild solution of special random impulsive fractional differential equations

Cites Work

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• The existence of periodic solutions to certain impulsive differential equations.
• Stability of the zero solution of impulsive differential equations by the Lyapunov second method
• Successive approximation method for quasilinear impulsive differential equations with control.
• Difference approximations for impulsive differential equations
• On stability of perturbed impulsive differential systems
• Stability criteria for impulsive differential systems
• Stability Analysis in Terms of Two Measures for Impulsive Differential Equations
• Asymptotic behavior of differential systems with impulse effect

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