On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem

We consider a singular Cauchy problem for a nonlinear differential equation unsolved with respect to the derivative of the unknown function. We prove the existence of continuously differentiable solutions, investigate their asymptotic behavior near the initial point, and determine their number.

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Bibliographic Details
Date:2001
Main Authors: Zernov, A. E., Meleshko, T. V., Зернов, А. Е., Мелешко, Т. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4337
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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