| Title:
|
Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments (English) |
| Author:
|
Selvarangam, Srinivasan |
| Author:
|
Rupadevi, Sethurajan A. |
| Author:
|
Thandapani, Ethiraju |
| Author:
|
Pinelas, Sandra |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
146 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
263-278 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we present several sufficient conditions for the existence of nonoscillatory solutions to the following third order neutral type difference equation $$ \Delta ^3(x_n+a_n x_{n-l} +b_n x_{n+m})+p_n x_{n-k} - q_n x_{n+r}=0,\quad n\geq n_0 $$ via Banach contraction principle. Examples are provided to illustrate the main results. The results obtained in this paper extend and complement some of the existing results. (English) |
| Keyword:
|
third order |
| Keyword:
|
nonoscillation |
| Keyword:
|
delay and advanced arguments |
| Keyword:
|
neutral difference equation |
| MSC:
|
39A10 |
| DOI:
|
10.21136/MB.2020.0099-19 |
| . |
| Date available:
|
2021-08-18T08:22:18Z |
| Last updated:
|
2021-08-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149069 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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