On asymptotic representation of solutions for a system of linear partial differential equations with time lag

• Date: 1971
• Main Authors: Feshchenko, S. F., Shkіl, N. I., Sоtnіchenkо, N. A., Фещенко, С. Ф., Шкиль, Н. И., Сотниченко, Н. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1971
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8500
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Рассматривается система $$\frac{\partial^2 u(t,x)}{\partial t^2}=A_1(\tau,x,\varepsilon) \frac{\partial^2 u(t,x)}{\partial x^2}+\varepsilon A_2(\tau,x,\varepsilon) u(t,x)+$$ $$+\varepsilon A_3(\tau,x,\varepsilon)u(t-\Delta(\tau),x)+\varepsilon A_4(\tau,x,\varepsilon) \frac{\partial u(t,x)}{\partial...