| 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 |
| . |
