On higher order generalized Emden-Fowler differential equations with delay argument

• Published in: Нелінійні коливання
• Date: 2015
• Main Authors: Domoshnitsky, A., Koplatadze, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177230
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On higher order generalized Emden-Fowler differential equations with delay argument / A. Domoshnitsky, R. Koplatadze // Нелінійні коливання. — 2015. — Т. 18, № 4. — С. 507-526 — Бібліогр.: 15 назв. — англ.

In the paper the differential equation u⁽ⁿ⁾ (t) + p(t)|u(τ (t))|^(µ(t)) sign u(τ (t)) = 0, is considered. Here, we assume that n ≥ 3, p ∈ Lloc(R₊; R₋), µ ∈ C(R₊; (0, +∞)), τ ∈ C(R₊; R₊), τ (t) ≤ t for t ∈ R₊ and limt→+∞ τ (t) = +∞. In case µ(t) ≡ const > 0, oscillatory properties of equation have...