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Matematicheskie Zametki, 2004, Volume 76, Issue 1, Pages 44–51
DOI: https://doi.org/10.4213/mzm89 (Mi mzm89) 		 
This article is cited in 16 scientific papers (total in 16 papers)

On the Stability of Periodic Impulsive Systems

R. I. Gladilina, A. O. Ignatyev

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Full-text PDF (190 kB) Citations (16)
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DOI: https://doi.org/10.4213/mzm89
Abstract: In this paper, we consider periodic systems of ordinary differential equations with impulse perturbations at fixed points of time. It is assumed that the system possesses the trivial solution. We show that if the trivial solution of the system is stable or asymptotically stable, then it is uniformly stable or uniformly asymptotically stable, respectively. By using the method of Lyapunov functions, we establish criteria of uniform asymptotical stability and instability.
Received: 21.05.2002
Revised: 25.06.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 1, Pages 41–47
DOI: https://doi.org/10.1023/B:MATN.0000036740.50477.42
Bibliographic databases:
UDC: 517.925.3
Language: Russian
Citation: R. I. Gladilina, A. O. Ignatyev, “On the Stability of Periodic Impulsive Systems”, Mat. Zametki, 76:1 (2004), 44–51; Math. Notes, 76:1 (2004), 41–47
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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