Oscillatory and asymptotic behavior of higher order difference equations
type: Item
instance of: scholarly article
title: Oscillatory and asymptotic behavior of higher order difference equations
zbMATH Open document ID: 0820.39001
DOI: 10.1016/0895-7177(95)00005-M
author: Yanyan Li
published in: Mathematical and Computer Modelling
publication date: 1995-09-18T00:00:00Z
review text: The author obtains sufficient conditions for the oscillation of all bounded solutions of the neutral difference equation \[ \Delta(a(t) \Delta^{n- 1} (x(t)+ p(t) x(\eta(t))))+ F(t, x(\sigma(t)))= 0,\quad t\in I \] and the asymptotic behavior of solutions of the delay difference equation \[ \Delta^ n x(t)+ F(t, x(g(t)))= h(t),\quad t\in I. \] For related works see \textit{R. P. Agarwal} [An. Sţiint. Univ. Al. I. Cuza Iaşi, N. Ser., Sect. Ia 29, No. 3, Suppl., 85-96 (1983; Zbl 0599.39002)].
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 751284
zbMATH Keywords: oscillation
zbMATH Keywords: bounded solutions
zbMATH Keywords: neutral difference equation
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: delay difference equation
MaRDI profile type: Publication
cites work: Q3721093
cites work: Q4871844
cites work: Ocillatory and asymptotic behavior of solutions of third order delay differential equations with forcing terms
cites work: Q3733365
cites work: Q4033029
cites work: A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
cites work: Q3989353
cites work: Oscillation and asymptotic behavior of neutral differential equations with deviating arguments
cites work: Q3989359
description: scientific article; zbMATH DE number 751284