Oscillation of Third-Order Neutral Delay Differential Equations
The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [a(t)(b(t)(x(t)+p(t)x(σ(t)))′)′]′+q(t)x(τ(t))=0. Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature. Moreov...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/569201 |
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| _version_ | 1832558045411934208 |
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| author | Tongxing Li Chenghui Zhang Guojing Xing |
| author_facet | Tongxing Li Chenghui Zhang Guojing Xing |
| author_sort | Tongxing Li |
| collection | DOAJ |
| description | The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [a(t)(b(t)(x(t)+p(t)x(σ(t)))′)′]′+q(t)x(τ(t))=0. Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature. Moreover, some examples are given to illustrate the main results. |
| format | Article |
| id | doaj-art-8100abb452a148f38e8e766d73bfb14f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8100abb452a148f38e8e766d73bfb14f2025-02-03T01:33:20ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/569201569201Oscillation of Third-Order Neutral Delay Differential EquationsTongxing Li0Chenghui Zhang1Guojing Xing2School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, ChinaThe purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [a(t)(b(t)(x(t)+p(t)x(σ(t)))′)′]′+q(t)x(τ(t))=0. Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature. Moreover, some examples are given to illustrate the main results.http://dx.doi.org/10.1155/2012/569201 |
| spellingShingle | Tongxing Li Chenghui Zhang Guojing Xing Oscillation of Third-Order Neutral Delay Differential Equations Abstract and Applied Analysis |
| title | Oscillation of Third-Order Neutral Delay Differential Equations |
| title_full | Oscillation of Third-Order Neutral Delay Differential Equations |
| title_fullStr | Oscillation of Third-Order Neutral Delay Differential Equations |
| title_full_unstemmed | Oscillation of Third-Order Neutral Delay Differential Equations |
| title_short | Oscillation of Third-Order Neutral Delay Differential Equations |
| title_sort | oscillation of third order neutral delay differential equations |
| url | http://dx.doi.org/10.1155/2012/569201 |
| work_keys_str_mv | AT tongxingli oscillationofthirdorderneutraldelaydifferentialequations AT chenghuizhang oscillationofthirdorderneutraldelaydifferentialequations AT guojingxing oscillationofthirdorderneutraldelaydifferentialequations |