Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type
We establish some new oscillation criteria for the second-order neutral delay dynamic equations of Emden-Fowler type, [a(t)(x(t)+r(t)x(τ(t)))Δ]Δ+p(t)xγ(δ(t))=0, on a time scale unbounded above. Here γ>0 is a quotient of odd positive integers with a and p being real-valued positive functions defin...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/653689 |
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| _version_ | 1832550725079531520 |
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| author | Zhenlai Han Tongxing Li Shurong Sun Chao Zhang Bangxian Han |
| author_facet | Zhenlai Han Tongxing Li Shurong Sun Chao Zhang Bangxian Han |
| author_sort | Zhenlai Han |
| collection | DOAJ |
| description | We establish some new oscillation criteria for the second-order neutral delay dynamic equations of Emden-Fowler type,
[a(t)(x(t)+r(t)x(τ(t)))Δ]Δ+p(t)xγ(δ(t))=0, on a time scale unbounded above. Here γ>0 is a quotient of odd positive integers with a and p being real-valued positive functions defined on 𝕋. Our results in this paper not only extend and improve the results in the literature but also correct an error in one of the references. |
| format | Article |
| id | doaj-art-c51ed4fc09744999a0e752e9d90ebb2f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c51ed4fc09744999a0e752e9d90ebb2f2025-02-03T06:06:09ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/653689653689Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler TypeZhenlai Han0Tongxing Li1Shurong Sun2Chao Zhang3Bangxian Han4School of Science, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Science, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Science, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Science, University of Jinan, Jinan, Shandong 250022, ChinaDepartment of Mathematics, University of Science and Technology, Hefei 230026, ChinaWe establish some new oscillation criteria for the second-order neutral delay dynamic equations of Emden-Fowler type, [a(t)(x(t)+r(t)x(τ(t)))Δ]Δ+p(t)xγ(δ(t))=0, on a time scale unbounded above. Here γ>0 is a quotient of odd positive integers with a and p being real-valued positive functions defined on 𝕋. Our results in this paper not only extend and improve the results in the literature but also correct an error in one of the references.http://dx.doi.org/10.1155/2011/653689 |
| spellingShingle | Zhenlai Han Tongxing Li Shurong Sun Chao Zhang Bangxian Han Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type Abstract and Applied Analysis |
| title | Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type |
| title_full | Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type |
| title_fullStr | Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type |
| title_full_unstemmed | Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type |
| title_short | Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type |
| title_sort | oscillation criteria for a class of second order neutral delay dynamic equations of emden fowler type |
| url | http://dx.doi.org/10.1155/2011/653689 |
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