| Title:
|
Oscillation of third-order half-linear neutral difference equations (English) |
| Author:
|
Thandapani, E. |
| Author:
|
Selvarangam, S. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
138 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
87-104 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some new criteria for the oscillation of third order nonlinear neutral difference equations of the form \begin {equation*} \Delta (a_n(\Delta ^2(x_n+b_{n}x_{n-\delta }))^\alpha )+q_{n}x^{\alpha }_{n+1-\tau }=0 \end {equation*} and \begin {equation*} \Delta (a_n(\Delta ^2(x_n-b_nx_{n-\delta }))^\alpha )+q_nx^{\alpha }_{n+1-\tau }=0 \end {equation*} are established. Some examples are presented to illustrate the main results. (English) |
| Keyword:
|
third order neutral difference equation |
| Keyword:
|
oscillation |
| Keyword:
|
nonoscillation |
| MSC:
|
39A10 |
| MSC:
|
39A21 |
| idZBL:
|
Zbl 1274.39023 |
| idMR:
|
MR3076223 |
| DOI:
|
10.21136/MB.2013.143232 |
| . |
| Date available:
|
2013-03-02T18:56:39Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143232 |
| . |
| Reference:
|
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| . |
