Stability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionals

DOI10.1016/J.JDE.2021.07.012zbMath1472.34007OpenAlexW3183925340MaRDI QIDQ2045850

Claudio A. Gallegos, R. Grau, Jaqueline Godoy Mesquita

Publication date: 16 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.012

zbMATH Keywords

stabilityLyapunov functionalsHenstock-Kurzweil integralmeasure differential equationsdynamic equations on time scalesgeneralized ordinary differential equations

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Denjoy and Perron integrals, other special integrals (26A39) Dynamic equations on time scales or measure chains (34N05) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (1)

On stability for generalized linear differential equations and applications to impulsive systems

Cites Work

• Generalized ODE approach to impulsive retarded functional differential equations
• Henstock-Kurzweil delta and nabla integrals
• On exponential stability of functional differential equations with variable impulse perturbations.
• Lyapunov stability for measure differential equations and dynamic equations on time scales
• Generalized ordinary differential equations and continuous dependence on a parameter
• Prolongation of solutions of measure differential equations and dynamic equations on time scales
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