On the stability in terms of two measures for perturbed impulsive integro-differential equations

DOI10.1016/j.jmaa.2005.06.027zbMath1092.45005OpenAlexW2026599403MaRDI QIDQ819640

Hairong Lian, Peiguang Wang

Publication date: 29 March 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.2005.06.027

zbMATH Keywords

comparison principlestability in terms of two measuresperturbed impulsive integro-differential equationsvariation of Lyapunov second method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Stability theory for integral equations (45M10)

Related Items (5)

Stability criteria in terms of two measures for functional differential equation with variable‐time impulses ⋮ Stability in terms of two measures for perturbed impulsive delay integro-differential equations ⋮ Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference ⋮ Stability and input-to-state stability for stochastic systems and applications ⋮ Exponential stability of nonlinear impulsive neutral integro-differential equations

Cites Work

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• A technique in perturbation theory
• A variation of the Lyapunov second method to impulsive differential equations
• Stability criteria for impulsive differential equations in terms of two measures
• Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations
• On the stability in terms of two measures of perturbed neutral functional differential equations.
• Stability Analysis in Terms of Two Measures for Impulsive Differential Equations
• Stability of processes with respect to two metrics

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