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On asymptotics of solutions of one Cauchy’s problem

We consider the Cauchy problem $(x')^n=at^r+bx+f(t,x,x'), x(0)=0$. We prove the existence of continuously differentiable solutions and study their asymptotic behavior for $t→+0$.

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Bibliographic Details
Date:	2025
Main Authors:	Zernov , A. E., Зернов , А. Е.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9355
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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