Cone-valued Lyapunov functions and stability for impulsive functional differential equations

DOI10.1016/j.na.2007.07.057zbMath1151.34063OpenAlexW2086957059MaRDI QIDQ944783

Kaien Liu, Guo-Wei Yang

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.057

zbMATH Keywords

stability in terms of two measuresimpulsive functional differential equationscone-valued Lyapunov functions\((Q_{0}, Q)\)-stabilityrazumikhin technique

Mathematics Subject Classification ID

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

Related Items (4)

On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions ⋮ Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects ⋮ Global existence of solutions for stochastic impulsive differential equations ⋮ Stability analysis for a class of functional differential equations and applications

Cites Work

• Stability of functional differential equations with impulses
• On the \(\phi{}_ 0\)-stability of comparison differential systems
• On cone perturbing Lyapunov function for impulsive differential systems
• Cone-valued Lyapunov functions
• Cone-valued Lyapunov functions and stability theory
• Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions
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