Topological equivalence and exponential dichotomy of linear impulsive equations

DOI10.1007/BF00670699zbMath0810.34053MaRDI QIDQ1340324

Nguyen Van Minh, D. D. Bainov, Stepan Kostadinov, Peter P. Zabreĭko

Publication date: 18 April 1995

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

zbMATH Keywords

exponential dichotomytopological equivalenceabstract impulsive differential equationskinematical similarity

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Linear differential equations in abstract spaces (34G10)

Related Items (2)

NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY ⋮ Conjugacies for impulsive equations

Cites Work

• Unnamed Item
• 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
• A characterization of exponential dichotomy in terms of topological equivalence
• Dichotomies in stability theory

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