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

  • A. F. Ivanov Ин-т математики АН Украины, Киев
  • P. Marushiyak Ин-т инженеров транспорта и связи, Жилина, Чехо-Словакия

Abstract

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

dndtn[x(t)+λ1x(tτ1)]=p(t)f(y(θ1(f)),dndtn[y(t)+λ2y(tτ2)]q=(t)g(x(θ2(t)),0

References

Иванов А. Ф., Кусано Т. Колеблемость решений одного класса функционально-дифференциальных уравнений первого порядка нейтрального типа // Укр. мат. журн.— 1989.— 41, № 10.—С. 1370—1375.

Marusiak Р. Oscillation of solutions of nonlinear delay differential equations // Mat. Cas.— 1974.— N 4.— P. 371—380.

Kuan J. Types and criteria of nonoscillatory solutions for second order linear neutral differential diiference equations//Chin. Ann. Math. Ser, A.— 1987.— 8.— P. 114—124.

Published
08.09.1992
How to Cite
Ivanov , A. F., and P. Marushiyak. “On Oscilation and Asymptotic Behaviour of Solutions of One System of Differential-Functional Equations of Neutral Type”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 8, Sept. 1992, pp. 1044-9, https://umj.imath.kiev.ua/index.php/umj/article/view/8032.
Section
Research articles