Global existence results for impulsive differential equations

DOI10.1016/J.JMAA.2005.04.009zbMath1086.34013OpenAlexW2036238348MaRDI QIDQ2581479

Xinzhi Liu, Shen, Jianhua

Publication date: 10 January 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.009

zbMATH Keywords

impulsesglobal solutions

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)

Related Items (10)

Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay ⋮ On existence and uniqueness of random impulsive differential equations ⋮ Global solutions for abstract impulsive differential equations ⋮ Hyers-Ulam stability result for Hilfer fractional integrodifferential stochastic equations with fractional noises and non-instantaneous impulses ⋮ Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay ⋮ Existence of global solutions for second order impulsive abstract partial differential equations ⋮ Stability analysis by contraction principle for impulsive systems with infinite delays ⋮ Global solutions for abstract impulsive neutral differential equations ⋮ Global solutions for impulsive abstract partial differential equations ⋮ Sample controllability of impulsive differential systems with random coefficients

Cites Work

• Exponential stability of linear delay impulsive differential equations
• Impulsive stabilization of functional differential equations via Lyapunov functionals
• On the global existence of solutions and Liapunov functions
• Über die Methode der a priori-Schranken
• Impulsive stabilization of functional differential equations by Lyapunov–Razumikhin functions
• Impulsive stabilization of nonlinear systems
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