Asymptotic and oscillatory behavior of solutions of certain second-order nonlinear difference equations
The authors establish some sufficient conditions for asymptotic and oscillatory behavior of the solutions to the equation \[ \Delta\bigl(r_{n-1} (\Delta y_{n-1})^\sigma\bigr)+q_nf(y_n) =R_n \] with oscillatory coefficient \(q_n\). For related results see the papers of \textit{P. J. Y. Wong} and \textit{R. P. Agarwal} [J. Math. Anal. Appl. 204, No. 3, 813-829 (1996; Zbl 0874.39012)] and of the reviewer [J. Math. Anal. Appl. 224, No. 2, 349-355 (1998; Zbl 0923.39006)].
second-order nonlinear difference equations
scientific article; zbMATH DE number 1391505
scientific article