On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.