On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients

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 slow...

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Bibliographic Details
Main Author: P. N. Nesterov
Format: Article
Language:English
Published: Yaroslavl State University 2011-09-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1061
Description
Summary: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.
ISSN:1818-1015
2313-5417