Asymptotics of the fundamental system of solutions of a linear functional-differential equation with respect to a parameter

• Date: 1995
• Main Authors: Radzievskii, G. V., Радзиевский, Г. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5475
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a functional-differential equation, where F is a linear operator acting from the Hölder space Hγ into the Sobolev space W p s [0, 1] and ρ is a complex parameter. For large absolute values of ρ, we construct a one-to-one correspondence between the solutions x(ρ;t) and y(ρ;t) of the equation...