On the oscillation of higher order delay differential equations

• Published in: Нелінійні коливання
• Date: 2012
• Main Authors: Baculikova, B., Dzurina, J., Graef, J.R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175569
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the oscillation of higher order delay differential equations / B. Baculikova, J. Dzurina, J.R. Graef // Нелінійні коливання. — 2012. — Т. 15, № 1. — С. 13-24. — Бібліогр.: 21 назв. — англ.

The aim of this paper is to study the asymptotic properties and oscillation of the n-th order delay differential equation
 
 r(t)[x⁽ⁿ⁻¹⁾(t)]γ)+ q(t)f(x(τ (t))) = 0.
 The results obtained are based on some new comparison theorems that reduce the problem of oscillation of an n-...