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Matematicheskie Zametki, 1998, Volume 63, Issue 1, Pages 3–8
DOI: https://doi.org/10.4213/mzm1242 (Mi mzm1242) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Stability of solutions of nonlinear systems with unbounded perturbations

A. Yu. Aleksandrov

Saint-Petersburg State University
Full-text PDF (156 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm1242
Abstract: We study systems of differential equations with perturbations that are unbounded functions of time. We suggest a method for constructing Lyapunov functions to determine conditions under which the perturbations do not affect the asymptotic stability of the solutions.
Received: 18.04.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 1, Pages 3–8
DOI: https://doi.org/10.1007/BF02316137
Bibliographic databases:
UDC: 517.92
Language: Russian
Citation: A. Yu. Aleksandrov, “Stability of solutions of nonlinear systems with unbounded perturbations”, Mat. Zametki, 63:1 (1998), 3–8; Math. Notes, 63:1 (1998), 3–8
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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