Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales
We establish the oscillation criteria of Philos type for second-order half-linear neutral delay dynamic equations with damping on time scales by the generalized Riccati transformation and inequality technique. Our results are new even in the continuous and the discrete cases.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/615374 |
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| _version_ | 1832555835747729408 |
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| author | Quanxin Zhang Shouhua Liu |
| author_facet | Quanxin Zhang Shouhua Liu |
| author_sort | Quanxin Zhang |
| collection | DOAJ |
| description | We establish the oscillation criteria of Philos type for second-order half-linear neutral delay dynamic equations with damping on time scales by the generalized Riccati transformation and inequality technique. Our results are new even in the continuous and the discrete cases. |
| format | Article |
| id | doaj-art-f4dbdd8c889b4a44a906e85315be03e3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f4dbdd8c889b4a44a906e85315be03e32025-02-03T05:47:06ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/615374615374Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time ScalesQuanxin Zhang0Shouhua Liu1Department of Mathematics, Binzhou University, Shandong 256603, ChinaDepartment of Mathematics, Binzhou University, Shandong 256603, ChinaWe establish the oscillation criteria of Philos type for second-order half-linear neutral delay dynamic equations with damping on time scales by the generalized Riccati transformation and inequality technique. Our results are new even in the continuous and the discrete cases.http://dx.doi.org/10.1155/2014/615374 |
| spellingShingle | Quanxin Zhang Shouhua Liu Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales Abstract and Applied Analysis |
| title | Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales |
| title_full | Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales |
| title_fullStr | Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales |
| title_full_unstemmed | Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales |
| title_short | Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales |
| title_sort | oscillation theorems for second order half linear neutral delay dynamic equations with damping on time scales |
| url | http://dx.doi.org/10.1155/2014/615374 |
| work_keys_str_mv | AT quanxinzhang oscillationtheoremsforsecondorderhalflinearneutraldelaydynamicequationswithdampingontimescales AT shouhualiu oscillationtheoremsforsecondorderhalflinearneutraldelaydynamicequationswithdampingontimescales |