Asymptotic behavior of higher-order neutral difference equations with general arguments

• Date: 2013
• Main Authors: Chatzarakis, G. E., Khatibzadeh, H., Miliaras, G. N., Stavroulakis, I. P., Чатзаракіс, Г. Е., Хатібзадех, Г., Міліарас, Г. Н., Ставроулакіс, І. П.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2429
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the asymptotic behavior of solutions of the higher-order neutral difference equation $$Δm[x(n)+cx(τ(n))]+p(n)x(σ(n))=0,N∍m≥2,n≥0,$$ where $τ (n)$ is a general retarded argument, $σ(n)$ is a general deviated argument, $c ∈ R; (p(n)) n ≥ 0$ is a sequence of real numbers, $∆$ denotes the forwa...