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This article is cited in 2 scientific papers (total in 2 papers)
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.
Received: 06.07.2005 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
Linking options:
https://www.mathnet.ru/eng/mzm4111https://doi.org/10.4213/mzm4111 https://www.mathnet.ru/eng/mzm/v91/i1/p136
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