# Article

 Title: Oscillation and nonoscillation of second order neutral delay difference equations (English) Author: Thandapani, E. Author: Mahalingam, K. Language: English Journal: Czechoslovak Mathematical Journal ISSN: 0011-4642 (print) ISSN: 1572-9141 (online) Volume: 53 Issue: 4 Year: 2003 Pages: 935-947 Summary lang: English . Category: math . Summary: Some new oscillation and nonoscillation criteria for the second order neutral delay difference equation $\Delta (c_n\Delta (y_n+p_ny_{n-k}))+q_ny_{n+1-m}^\beta =0,\quad n\ge n_0$ where $k$, $m$ are positive integers and $\beta$ is a ratio of odd positive integers are established, under the condition $\sum _{n=n_0}^{\infty }\frac{1}{c_n}<{\infty }.$ (English) Keyword: neutral delay Keyword: difference equation Keyword: oscillation MSC: 39A10 MSC: 39A11 MSC: 39A12 MSC: 39A20 idZBL: Zbl 1080.39503 idMR: MR2018841 . Date available: 2009-09-24T11:08:01Z Last updated: 2020-07-03 Stable URL: http://hdl.handle.net/10338.dmlcz/127851 . Reference: [1] R. P. Agarwal: Difference Equations and Inequalities, Secon Edition.Marcel Dekker, New York, 2000. MR 1740241 Reference: [2] R. P. Agarwal and P. J. Y. Wong: Advanced Topics in Difference Equations.Kluwer Publ., Dordrecht, 1997. MR 1447437 Reference: [3] D. D. Bainov and D. P. Mishev: Oscillation Theory for Neutral Differential Equations with Delay.Adam Hilger, 1991. MR 1147908 Reference: [4] W. T. Li and D. P. Mishev: Classification and existence of positive solutions of second order nonlinear neutral difference equations.Funk. Ekv. 40 (1997), 371–393. Reference: [5] B. G. Zhang: Oscillation and asymptotic behavior of second order difference equations.J. Math. Anal. Appl. 173 (1993), 58–68. Zbl 0780.39006, MR 1205909, 10.1006/jmaa.1993.1052 .

## Files

Files Size Format View
CzechMathJ_53-2003-4_13.pdf 339.5Kb application/pdf View/Open

Partner of