On the Solvability and Asymptotics of Solutions of One Functional Differential Equation with Singularity

• Date: 2001
• Main Authors: Zernov, A. E., Зернов, А. Е.
• 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/4268
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove the existence of continuously differentiable solutions with required asymptotic properties as t → +0 and determine the number of solutions of the following Cauchy problem for a functional differential equation: $$\alpha \left( t \right)x\prime \left( t \right) = at + b_1 x\left( t \right)...