Oscillation criteria for two dimensional linear neutral delay difference systems
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[\matrix x(n)+p(n)x(n-m) y(n)+p(n)y(n-m) \right]= \left[\matrix a(n) & b(n) c(n) & d(n) \right]\left[\matrix x(n-\alpha...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2023-12-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/148/4/mb148_4_2.pdf |
| _version_ | 1827696749082312704 |
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| author | Arun Kumar Tripathy |
| author_facet | Arun Kumar Tripathy |
| author_sort | Arun Kumar Tripathy |
| collection | DOAJ |
| description | 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[\matrix x(n)+p(n)x(n-m)
y(n)+p(n)y(n-m) \right]= \left[\matrix a(n) & b(n)
c(n) & d(n) \right]\left[\matrix x(n-\alpha)
y(n-\beta) \right]
are established, where $m>0$, $\alpha\geq0$, $\beta\geq0$ are integers and $a(n)$, $b(n)$, $c(n)$, $d(n)$, $p(n)$ are sequences of real numbers. |
| first_indexed | 2024-03-10T12:54:45Z |
| format | Article |
| id | doaj.art-00bb71409973487fb50c19178fee99e7 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-03-10T12:54:45Z |
| publishDate | 2023-12-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-00bb71409973487fb50c19178fee99e72023-11-21T12:00:13ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362023-12-01148444746010.21136/MB.2022.0048-21MB.2022.0048-21Oscillation criteria for two dimensional linear neutral delay difference systemsArun Kumar TripathyIn this work, necessary and sufficient conditions for the oscillation of solutions of 2-dimensional linear neutral delay difference systems of the form \Delta\left[\matrix x(n)+p(n)x(n-m) y(n)+p(n)y(n-m) \right]= \left[\matrix a(n) & b(n) c(n) & d(n) \right]\left[\matrix x(n-\alpha) y(n-\beta) \right] are established, where $m>0$, $\alpha\geq0$, $\beta\geq0$ are integers and $a(n)$, $b(n)$, $c(n)$, $d(n)$, $p(n)$ are sequences of real numbers.http://mb.math.cas.cz/full/148/4/mb148_4_2.pdf oscillation nonoscillation system of neutral equations krasnoselskii's fixed point theorem |
| spellingShingle | Arun Kumar Tripathy Oscillation criteria for two dimensional linear neutral delay difference systems Mathematica Bohemica oscillation nonoscillation system of neutral equations krasnoselskii's fixed point theorem |
| title | Oscillation criteria for two dimensional linear neutral delay difference systems |
| title_full | Oscillation criteria for two dimensional linear neutral delay difference systems |
| title_fullStr | Oscillation criteria for two dimensional linear neutral delay difference systems |
| title_full_unstemmed | Oscillation criteria for two dimensional linear neutral delay difference systems |
| title_short | Oscillation criteria for two dimensional linear neutral delay difference systems |
| title_sort | oscillation criteria for two dimensional linear neutral delay difference systems |
| topic | oscillation nonoscillation system of neutral equations krasnoselskii's fixed point theorem |
| url | http://mb.math.cas.cz/full/148/4/mb148_4_2.pdf |
| work_keys_str_mv | AT arunkumartripathy oscillationcriteriafortwodimensionallinearneutraldelaydifferencesystems |