| Title:
|
Oscillation criteria for two dimensional linear neutral delay difference systems (English) |
| Author:
|
Tripathy, Arun Kumar |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
148 |
| Issue:
|
4 |
| Year:
|
2023 |
| Pages:
|
447-460 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work, necessary and sufficient conditions for the oscillation of solutions of 2-dimensional linear neutral delay difference systems of the form $$ \Delta \left [\begin{matrix} x(n)+p(n)x(n-m)\\ y(n)+p(n)y(n-m) \end{matrix} \right ]= \left [\begin{matrix} a(n) & b(n) \\ c(n) & d(n) \end{matrix} \right ]\left [\begin{matrix} x(n-\alpha )\\ y(n-\beta ) \end{matrix} \right ] $$ are established, where $m>0$, $\alpha \geq 0$, $\beta \geq 0$ are integers and $a(n)$, $b(n)$, $c(n)$, $d(n)$, $p(n)$ are sequences of real numbers. (English) |
| Keyword:
|
oscillation |
| Keyword:
|
nonoscillation |
| Keyword:
|
system of neutral equations |
| Keyword:
|
Krasnoselskii's fixed point theorem |
| MSC:
|
34C10 |
| MSC:
|
34K11 |
| MSC:
|
39A13 |
| DOI:
|
10.21136/MB.2022.0048-21 |
| . |
| Date available:
|
2023-11-23T12:33:35Z |
| Last updated:
|
2023-11-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151967 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
