Oscillation criteria for first order linear difference equations with several delay arguments

• Published in: Нелінійні коливання
• Date: 2014
• ISSN: 1562-3076
• Main Authors: Koplatadze, R., Pinelas, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175633
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Oscillation criteria for first order linear difference equations with several delay arguments / R. Koplatadze, S. Pinelas // Нелінійні коливання. — 2014. — Т. 17, № 2. — С. 248-267. — Бібліогр.: 14 назв. — англ.

The difference equation with delayed arguments ∆u(k) + Σpₗ(k) u(τₗ(k)) = 0, is considered, where ∆u(k) = u(k + 1) − u(k), pₗ : N → R, τₗ : N → N, lim k→+∞ τₗ (k) = +∞, i = 1, ..., m. In the paper sufficient conditions are established for all proper solutions of the above equation to be oscillatory....