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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 1, Pages 70–80 (Mi smj2178)  
This article is cited in 14 scientific papers (total in 14 papers)

Stability of solutions to impulsive differential equations in critical cases

A. I. Dvirnyĭa, V. I. Slyn'kob

a Academy of Fire Secyrity, Cherkassy, Ukraine
b Institute of Mechanics named after S. P. Timoshenko of National Academy of Sciences of Ukraine, Kiev, Ukraine
Full-text PDF (292 kB) Citations (14)
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Abstract: We propose a new approach to constructing a piecewise differentiable Lyapunov function for some classes of nonlinear nonstationary systems of impulsive differential equations in the critical case. This approach allows us to obtain new sufficient conditions for the Lyapunov stability of solutions to this class of systems.
Keywords: impulsive equation, critical case, Lyapunov stability.
Received: 22.04.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 1, Pages 54–62
DOI: https://doi.org/10.1134/S003744660601006X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. I. Dvirnyǐ, V. I. Slyn'ko, “Stability of solutions to impulsive differential equations in critical cases”, Sibirsk. Mat. Zh., 52:1 (2011), 70–80; Siberian Math. J., 52:1 (2011), 54–62
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
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