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Matematicheskie Zametki, 2014, Volume 96, Issue 1, Pages 22–35
DOI: https://doi.org/10.4213/mzm9021 (Mi mzm9021) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Application of Lyapunov's Direct Method to the Study of the Stability of Solutions to Systems of Impulsive Differential Equations

A. I. Dvirnyjab, V. I. Slyn'koab

a Institute of Mechanics named after S. P. Timoshenko of National Academy of Sciences of Ukraine
b Hedmark University College, Norway
Full-text PDF (501 kB) Citations (14)
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DOI: https://doi.org/10.4213/mzm9021
Abstract: Classical theorems on the stability of the solutions of impulsive differential equations are further developed.
Keywords: impulsive differential equation, Lyapunov's direct method, Lyapunov (asymptotic) stability, Cauchy problem, equilibrium state stability, Hahn function class.
Received: 06.12.2010
Revised: 11.01.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 1, Pages 26–37
DOI: https://doi.org/10.1134/S0001434614070037
Bibliographic databases:
Document Type: Article
UDC: 517.929.21
Language: Russian
Citation: A. I. Dvirnyj, V. I. Slyn'ko, “Application of Lyapunov's Direct Method to the Study of the Stability of Solutions to Systems of Impulsive Differential Equations”, Mat. Zametki, 96:1 (2014), 22–35; Math. Notes, 96:1 (2014), 26–37
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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