Existence and uniqueness of solutions to random impulsive differential systems

DOI10.1007/S10255-006-0336-1zbMath1118.34049OpenAlexW1972434752MaRDI QIDQ861413

Songqing Lin, Xiaolin Guo, Shujin Wu

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/s10255-006-0336-1

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential equations and systems with randomness (34F05)

Related Items (16)

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 ⋮ P-moment exponential stability of second order differential equations with exponentially distributed moments of impulses ⋮ Existence of solutions for quasilinear random impulsive neutral differential evolution equation ⋮ Existence, uniqueness and stability results for semilinear integrodifferential non-local evolution equations with Random impulse ⋮ Existence results for quasilinear random impulsive abstract differential inclusions in Hilbert space ⋮ 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 ⋮ Existence and uniquenes results for systems of impulsive functional stochastic differential equations driven by fractional Brownian motion with multiple delay ⋮ \(p\)-moment stability of functional differential equations with random impulses ⋮ Unnamed Item ⋮ Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion ⋮ Existence of solutions for first-order Hamiltonian random impulsive differential equations with Dirichlet boundary conditions ⋮ Existence results for fractional neutral functional differential equations with random impulses ⋮ A study on the mild solution of special random impulsive fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dependence upon initial conditions and parameter of solutions of impulsive differential equations with variable structure
• 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
• Oscillation, stability, and boundedness of second-order differential systems with random impulses
• Asymptotic behavior of differential systems with impulse effect

This page was built for publication: Existence and uniqueness of solutions to random impulsive differential systems