Smith, B.; Taylor, W. E. jun. Oscillatory and asymptotic behavior of certain fourth order difference equations. (English) Zbl 0602.39003 Rocky Mt. J. Math. 16, 403-406 (1986). From authors’ introduction: This note is concerned with the solutions of the fourth order linear difference equation \[ \Delta (\Delta^ 3u_ n+p_ nu_{n+2})+p_ n\Delta u_{n+1}+q_ nu_{n+2}=0 \] where \(\Delta\) denotes the differencing operator, i.e. \(\Delta x_ n=x_{n+1}-x_ n\). While no sign conditions are explicitly stated for the real sequences \(\{p_ n\}\), it will be assumed that \(q_ n>0\) for each n. Reviewer: P.Reichensperger Cited in 1 ReviewCited in 20 Documents MSC: 39A10 Additive difference equations Keywords:oscillation; asymptotic behavior; fourth order linear difference equation PDFBibTeX XMLCite \textit{B. Smith} and \textit{W. E. Taylor jun.}, Rocky Mt. J. Math. 16, 403--406 (1986; Zbl 0602.39003) Full Text: DOI