Exponential dichotomy and existence of almost periodic solutions of impulsive differential equations

DOI10.1007/S10958-015-2677-XzbMath1337.34051OpenAlexW2272375551MaRDI QIDQ261716

Victor I. Tkachenko

Publication date: 24 March 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/177107

zbMATH Keywords

exponential dichotomyimpulsive differential equationsalmost periodic solutions

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (2)

Asymptotically almost periodic solutions of equations with delays and nonfixed times of pulse action ⋮ Almost periodic solutions for systems with delay and nonfixed times of impulsive actions

Cites Work

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• Robustness for impulsive equations
• Geometric theory of semilinear parabolic equations
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• Periodic and almost periodic solutions of strongly nonlinear impulsive systems
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• On the exponential dichotomy of pulse evolution systems
• Splitting of linear systems with impulses

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