Oscillation criteria for first order linear difference equations with several delay arguments
The difference equation with delayed arguments ∆u(k) + Σpₗ(k) u(τₗ(k)) = 0, is considered, where ∆u(k) = u(k + 1) − u(k), pₗ : N → R, τₗ : N → N, lim k→+∞ τₗ (k) = +∞, i = 1, ..., m. In the paper sufficient conditions are established for all proper solutions of the above equation to be oscillatory....
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| Datum: | 2014 |
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Інститут математики НАН України
2014
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| Schriftenreihe: | Нелінійні коливання |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/175633 |
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| Zitieren: | Oscillation criteria for first order linear difference equations with several delay arguments / R. Koplatadze, S. Pinelas // Нелінійні коливання. — 2014. — Т. 17, № 2. — С. 248-267. — Бібліогр.: 14 назв. — англ. |
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irk-123456789-1756332021-02-03T01:26:53Z Oscillation criteria for first order linear difference equations with several delay arguments Koplatadze, R. Pinelas, S. The difference equation with delayed arguments ∆u(k) + Σpₗ(k) u(τₗ(k)) = 0, is considered, where ∆u(k) = u(k + 1) − u(k), pₗ : N → R, τₗ : N → N, lim k→+∞ τₗ (k) = +∞, i = 1, ..., m. In the paper sufficient conditions are established for all proper solutions of the above equation to be oscillatory. The difference equation with delayed arguments ∆u(k) + Σpₗ(k) u(τₗ(k)) = 0, is considered, where ∆u(k) = u(k + 1) − u(k), pₗ : N → R, τₗ : N → N, lim k→+∞ τₗ (k) = +∞, i = 1, ..., m. In the paper sufficient conditions are established for all proper solutions of the above equation to be oscillatory. Розглянуто рiзницеве рiвняння з запiзненнями в аргументах ∆u(k) + Σpₗ(k) u(τₗ(k)) = 0, де u(k) = u(k + 1) − u(k), pₗ : N → R, τₗ : N → N, lim k→+∞ τₗ (k) = +∞, i = 1, ..., m. Знайдено достатнi умови для того, щоб всi правильнi розв’язки рiвняння були осцилюючими. 2014 Article Oscillation criteria for first order linear difference equations with several delay arguments / R. Koplatadze, S. Pinelas // Нелінійні коливання. — 2014. — Т. 17, № 2. — С. 248-267. — Бібліогр.: 14 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/175633 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
The difference equation with delayed arguments ∆u(k) + Σpₗ(k) u(τₗ(k)) = 0, is considered, where ∆u(k) = u(k + 1) − u(k), pₗ : N → R, τₗ : N → N, lim k→+∞ τₗ (k) = +∞, i = 1, ..., m. In the paper sufficient conditions are established for all proper solutions of the above equation to be oscillatory. |
| format |
Article |
| author |
Koplatadze, R. Pinelas, S. |
| spellingShingle |
Koplatadze, R. Pinelas, S. Oscillation criteria for first order linear difference equations with several delay arguments Нелінійні коливання |
| author_facet |
Koplatadze, R. Pinelas, S. |
| author_sort |
Koplatadze, R. |
| title |
Oscillation criteria for first order linear difference equations with several delay arguments |
| title_short |
Oscillation criteria for first order linear difference equations with several delay arguments |
| title_full |
Oscillation criteria for first order linear difference equations with several delay arguments |
| title_fullStr |
Oscillation criteria for first order linear difference equations with several delay arguments |
| title_full_unstemmed |
Oscillation criteria for first order linear difference equations with several delay arguments |
| title_sort |
oscillation criteria for first order linear difference equations with several delay arguments |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/175633 |
| citation_txt |
Oscillation criteria for first order linear difference equations with several delay arguments / R. Koplatadze, S. Pinelas // Нелінійні коливання. — 2014. — Т. 17, № 2. — С. 248-267. — Бібліогр.: 14 назв. — англ. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
AT koplatadzer oscillationcriteriaforfirstorderlineardifferenceequationswithseveraldelayarguments AT pinelass oscillationcriteriaforfirstorderlineardifferenceequationswithseveraldelayarguments |
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2025-07-15T12:58:02Z |
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2025-07-15T12:58:02Z |
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1837717817631178752 |