On oscilation and asymptotic behaviour of solutions of one system of differential-functional equations of neutral type

• Date: 1992
• Main Authors: Ivanov , A. F., Marushiyak , P., Иванов , А. Ф., Марушияк , П.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8032
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Conditions for the oscillation of all solutions and for the existence of nonoscillatory solutions with polynomial growth at infinity are given for the system of differential-functional equations of neutral type \(\frac{{d^n }}{{dt^n }}[x(t) + \lambda _1 x(t - \tau _1 )] = p(t)f(y(\theta _1 (f)), \\...