Kinematical similarity and exponential dichotomy of linear abstract impulsive differential equations

DOI10.1007/BF00844985zbMath0795.34049OpenAlexW2030094157MaRDI QIDQ1325735

A. D. Myshkis, Stepan Kostadinov, D. D. Bainov

Publication date: 4 September 1994

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00844985

zbMATH Keywords

exponential dichotomyimpulsive equationskinematical similarityBanach and Hilbert spaceslinear abstract differential equations

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• Bounded and periodic solutions of differential equations with impulse effect in a Banach space
• Exponential dichotomy of linear impulsive differential equations in a Banach space
• Characteristic exponents of impulsive differential equations in a Banach space
• \(L_ p\)-equivalence of impulsive equations
• Existence of integral manifolds for impulsiv differential equations in a Banach space
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Properties of the \(L_ p\)-solutions of linear impulsive equations in a Banach space