On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem

• Дата: 2001
• Автори: Zernov, A. E., Meleshko, T. V., Зернов, А. Е., Мелешко, Т. В.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2001
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4337
• Назва журналу: 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.