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 Mat. Zametki, 2012, Volume 91, Issue 1, Pages 136–142 (Mi mz4111)

Quasistable Properties of the Solutions of a Multiply Connected System of Differential Equations

E. V. Shchennikova

Mordovian State University

Abstract: We prove a theorem on the asymptotic stability of power type with respect to one part of the phase variables and on the uniform boundedness of the solutions of a multiply connected system of differential equations with respect to the other part of the variables.

Keywords: multiply connected system of differential equations, asymptotic stability, Lyapunov function, Cauchy problem, Cauchy matrix

DOI: https://doi.org/10.4213/mzm4111

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English version:
Mathematical Notes, 2012, 91:1, 128–134

Bibliographic databases:

UDC: 517.924.4
Revised: 11.12.2007

Citation: E. V. Shchennikova, “Quasistable Properties of the Solutions of a Multiply Connected System of Differential Equations”, Mat. Zametki, 91:1 (2012), 136–142; Math. Notes, 91:1 (2012), 128–134

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/mz4111
• https://doi.org/10.4213/mzm4111
• http://mi.mathnet.ru/eng/mz/v91/i1/p136

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. Lapin K.S., “Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions”, Differ. Equ., 52:5 (2016), 549–556
2. K. S. Lapin, “Higher-Order Derivatives of Lyapunov Functions and Partial Boundedness of Solutions with Partially Controllable Initial Conditions”, Math. Notes, 101:6 (2017), 1000–1008
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