Transformation of formal expansions of solutions of linear differential equations in a parameter into continued RITZ-fractions

We use the apparatus of RITZ-fractions to improve the convergence of series that represent the formal solution of linear differential equations with parameter under boundary or initial conditions. We establish conditions for the existence of this solution in the case where the parameter of the equat...

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Bibliographic Details
Date:1998
Main Authors: Rozhankovskaya, M. I., Syavavko, M. S., Рожанківська, М. І., Сявавко, М. С.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4906
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal