On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients
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.
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.
About the Author
P. N. Nesterov
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
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Review
For citations:
Nesterov P.N. On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients. Modeling and Analysis of Information Systems. 2011;18(3):21-41. (In Russ.)
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