Popenda, J.; Schmeidel, E. On the solutions of fourth order difference equations. (English) Zbl 0851.39003 Rocky Mt. J. Math. 25, No. 4, 1485-1499 (1995). The authors study the behavior of nonoscillatory solutions of the fourth order difference equation \(\Delta^4 y_n= f(n, y_{n+2})\), \(n\in \mathbb{N}\), where \(f: \mathbb{N}\times \mathbb{R}\to \mathbb{R}\) satisfies \(x\cdot f(n, x)< 0\) for all \(n\in \mathbb{N}\), \(x\neq 0\). For related results see the papers of B. Smith and W. E. Taylor jun. [Rocky Mt. J. Math. 16, 403-406 (1986; Zbl 0602.39003)] and W. E. Taylor jun. [Port. Math. 45, No. 1, 105-114 (1988; Zbl 0652.39004)]. Reviewer: E.Thandapani (Salem) Cited in 21 Documents MSC: 39A10 Additive difference equations Keywords:nonoscillatory solutions; fourth order difference equation Citations:Zbl 0602.39003; Zbl 0652.39004 PDFBibTeX XMLCite \textit{J. Popenda} and \textit{E. Schmeidel}, Rocky Mt. J. Math. 25, No. 4, 1485--1499 (1995; Zbl 0851.39003) Full Text: DOI References: [1] B. Smith and W.E. Taylor, Jr., Oscillatory and asymptotic behavior of certain fourth order difference equations , Rocky Mountain J. Math. 16 (1986), 403-406. · Zbl 0602.39003 · doi:10.1216/RMJ-1986-16-2-403 [2] W.E. Taylor, Jr., Oscillation properties of fourth order difference equations , Portugal Math. 45 (1988), 105-114. · Zbl 0652.39004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.