Practical stability in terms of two measures for impulsive differential equations with ``supremum

DOI10.1155/2011/703189zbMath1239.34089OpenAlexW2043196704WikidataQ58686825 ScholiaQ58686825MaRDI QIDQ762974

Atanaska Georgieva, Snezhana G. Hristova

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/703189

zbMATH Keywords

Razumikhin methodcomparison scalar equation

Mathematics Subject Classification ID

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

Related Items (8)

Lipschitz stability of differential equations with non-instantaneous impulses ⋮ 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 ⋮ Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference ⋮ Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses ⋮ Practical stability with respect to initial time difference for Caputo fractional differential equations ⋮ Practical stability of differential equations with non-instantaneous impulses ⋮ Razumikhin method to delay differential equations with non-instantaneous impulses

Cites Work

• A new approach to practical stability of impulsive functional differential equations in terms of two measures
• Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions
• On the asymptotic stability of differential equations with maxima
• On solvability of some boundary value problems for differential equations with ``maxima
• Eventual practical stability of impulsive differential equations with time delay in terms of two measurements
• Practical stability of impulsive functional differential equations in terms of two measurements
• On the functional differential equations with “maximums”
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