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Certain methods for construction of asymptotics for the Hill equations

On the basis of a method considered by A. Nayfeh we find an asymptotic solution of a special form for the Hill equation in a neighborhood of transition curves. Then, by the averaging method and by means of the corrections obtained up to fourth order we study the same differential equation. We show t...

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Bibliographic Details
Date:	1992
Main Authors:	Shishanin, O. E., Шишанин, О. Е.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7807
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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