V. V. Abramov, “Stability of zero solution of periodic system of differential equations with small parameter”, Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2010, Volume 12, Number 4, Pages 49

Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva

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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2010, Volume 12, Number 4, Pages 49–54 (Mi svmo7)

This article is cited in 4 scientific papers (total in 4 papers)

In Middle Volga Mathematical Society

Stability of zero solution of periodic system of differential equations with small parameter

V. V. Abramov

Ryazan State University S. A. Esenin

Citations (4)

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Abstract: By properties of monodromy operator it is received sufficient conditions of boundedness of solution with small initial values if parameter is small. It was investigated the norm stability problem coordinated with choice admissible value of the perturbation.

Keywords: ODE system, stability, operator of monodromy, norm of matrix.

Received: 10.12.2010

Document Type: Article

UDC: 517.925

Language: Russian

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