Agarwal, Ravi P.; Grace, Said R.; Wong, Patricia J. Y. Oscillatory behavior of fourth order nonlinear difference equations. (English) Zbl 1185.39009 N. Z. J. Math. 36, 101-111 (2007). Summary: Some new criteria for the bounded oscillation of nonlinear fourth order difference equation\[ \Delta\left(\frac{1}{a_3(n)}\left(\Delta\left(\frac{1}{a_2(n)}\left(\Delta\left(\frac{1}{a_1(n)}\;(\Delta x(n))^{\alpha_1}\right)\right)^{\alpha_2}\right)^{\alpha_3}\right)\right)+q(n)f(x[g(n)])=0 \]are established. Cited in 3 Documents MSC: 39A21 Oscillation theory for difference equations 39A20 Multiplicative and other generalized difference equations Keywords:rational difference equation; nonoscillation; bounded oscillation; nonlinear fourth order difference equation PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., N. Z. J. Math. 36, 101--111 (2007; Zbl 1185.39009)