One method for the investigation of linear functional-differential equations

• Дата: 2013
• Автори: Vetrova, E. V., Cherepennikov, V. B., Ветрова, Е. В., Черепенников, В. Б.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2443
• Назва журналу: 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...