Oscillation of Even Order Nonlinear Delay Dynamic Equations on Time Scales
| dc.contributor.author | Mert, Raziye | |
| dc.contributor.author | Peterson, Allan | |
| dc.contributor.author | Zafer, Agacik | |
| dc.contributor.author | Erbe, Lynn | |
| dc.date.accessioned | 2017-03-14T08:45:37Z | |
| dc.date.accessioned | 2025-09-18T12:08:42Z | |
| dc.date.available | 2017-03-14T08:45:37Z | |
| dc.date.available | 2025-09-18T12:08:42Z | |
| dc.date.issued | 2013 | |
| dc.description | Zafer, Agacik/0000-0001-8446-1223 | en_US |
| dc.description.abstract | One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales. | en_US |
| dc.identifier.citation | Erbe, L...et al. (2013). Oscillation of even order nonlinear delay dynamic equations on time scales. Czechoslovak Mathematical Journal, 63(1), 265-279. | en_US |
| dc.identifier.doi | 10.1007/s10587-013-0017-1 | |
| dc.identifier.issn | 0011-4642 | |
| dc.identifier.issn | 1572-9141 | |
| dc.identifier.scopus | 2-s2.0-84875469477 | |
| dc.identifier.uri | https://doi.org/10.1007/s10587-013-0017-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11188 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Czechoslovak Mathematical Journal | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Time Scale | en_US |
| dc.subject | Even Order | en_US |
| dc.subject | Delay | en_US |
| dc.subject | Oscillation | en_US |
| dc.subject | Taylor Monomial | en_US |
| dc.title | Oscillation of Even Order Nonlinear Delay Dynamic Equations on Time Scales | en_US |
| dc.title | Oscillation of even order nonlinear delay dynamic equations on time scales | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Erbe, Lynn; Peterson, Allan] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA; [Mert, Raziye] Cankaya Univ, Dept Math & Comp Sci, TR-06810 Ankara, Turkey; [Zafer, Agacik] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey | en_US |
| gdc.description.endpage | 279 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 265 | en_US |
| gdc.description.volume | 63 | en_US |
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| gdc.oaire.keywords | even order | |
| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Taylor monomial | |
| gdc.oaire.keywords | delay | |
| gdc.oaire.keywords | Oscillation theory of functional-differential equations | |
| gdc.oaire.keywords | time scale | |
| gdc.oaire.keywords | oscillation | |
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