Thandapani, Ethiraju; Arul, Ramalingam; Raja, Palanisamy S. Oscillation of first order neutral delay difference equations. (English) Zbl 1027.39003 Appl. Math. E-Notes 3, 88-94 (2003). Consider the neutral delay difference equation of the form \[ \Delta(y_n+ h_n y_{n-k})+\delta q_n f(y_{n-1}),\quad n= 0,1,\dots,\tag{\(*\)} \] where \(\delta= \pm 1\), \((h_n)\) and \((q_n)\) are positive real sequences and \(f: \mathbb{R}\to\mathbb{R}\) is a continuous function such that \(uf(u)> 0\) for \(u\neq 0\). Under some additional suppositions all solutions to \((*)\) are oscillatory. Reviewer: Dobiesław Bobrowski (Poznań) Cited in 5 Documents MSC: 39A11 Stability of difference equations (MSC2000) Keywords:neutral delay difference equation; oscillatory solution PDFBibTeX XMLCite \textit{E. Thandapani} et al., Appl. Math. E-Notes 3, 88--94 (2003; Zbl 1027.39003) Full Text: EuDML