One method for the investigation of linear functional-differential equations

• Date: 2013
• Main Authors: Vetrova, E. V., Cherepennikov, V. B., Ветрова, Е. В., Черепенников, В. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2443
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the scalar linear retarded functional differential equation $$\dot{x}(t) = ax(t - 1)+ bx \left( \frac tq \right) + f(t), \quad q > 1.$$ The study of linear retarded functional differential equations deals mainly with two initial-value problems: an initial-value problem with initi...