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On asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients

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Abstract

In this paper we propose a method for constructing the asymptotics for a set of linear independent solutions of systems of differential equations with oscillatory decreasing coefficients. We illustrate this method by constructing the asymptotics for solutions of a system of two oscillators with slowly decreasing coupling and friction in one of the oscillators.

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Authors and Affiliations

  1. Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia

    P. N. Nesterov

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  1. P. N. Nesterov
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Correspondence to P. N. Nesterov.

Additional information

Original Russian Text © P.N. Nesterov, 2011, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2011, No. 3, pp. 21–41.

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Nesterov, P.N. On asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients. Aut. Control Comp. Sci. 47, 500–515 (2013). https://doi.org/10.3103/S0146411613070134

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  • DOI: https://doi.org/10.3103/S0146411613070134

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