Stability on a cone in terms of two measures for impulsive differential equations with ``supremum

DOI10.1016/j.aml.2009.12.013zbMath1195.34112OpenAlexW2028385091MaRDI QIDQ968534

Snezhana G. Hristova

Publication date: 5 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.12.013

zbMATH Keywords

piecewise continuous Lyapunov functions\(\varphi _{0}\)-stability in terms of two measuresimpulsive differential equations with ``supremum

Mathematics Subject Classification ID

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

Related Items (12)

Weighted exponential stability for generalized delay functional differential equations with bounded delays ⋮ Lipschitz stability of differential equations with non-instantaneous impulses ⋮ Applications of Lyapunov functions to Caputo fractional differential equations ⋮ P-moment exponential stability of Caputo fractional differential equations with noninstantaneous random impulses ⋮ Differential equations with random gamma distributed moments of non-instantaneous impulses and \(\mathrm{p}\)-moment exponential stability ⋮ Stability of impulsive stochastic differential equations in terms of two measures via perturbing Lyapunov functions ⋮ Integral \(\varphi_0\)-stability in terms of two measures for impulsive differential equations with ``Supremum ⋮ Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses ⋮ Stability in terms of two measures for population growth models with impulsive perturbations ⋮ Razumikhin method to delay differential equations with non-instantaneous impulses ⋮ Generalized exponential stability of differential equations with non-instantaneous impulses ⋮ Caputo fractional differential equations with non-instantaneous impulses and strict stability by Lyapunov functions

Cites Work

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• \(\phi_{0}\)-stability of an impulsive system obtained from perturbing Lyapunov functions
• On the \(\phi{}_ 0\)-stability of comparison differential systems
• Monotone-iterative techniques of V. Lakshmikantham for a boundary value problem for systems of impulsive differential equations with supremum
• Stability criteria in terms of two measures for functional differential equations
• Stability Analysis in Terms of Two Measures for Impulsive Differential Equations

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