Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales
The oscillation of solutions of the second-order nonlinear dynamic equation (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t))γ+f(t,x(g(t)))=0, with damping on an arbitrary time scale T, is investigated. The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonli...
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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/10.1155/2012/253107 |
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| author | M. Tamer Şenel |
| author_facet | M. Tamer Şenel |
| author_sort | M. Tamer Şenel |
| collection | DOAJ |
| description | The oscillation of solutions of the second-order nonlinear dynamic equation (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t))γ+f(t,x(g(t)))=0, with damping on an arbitrary time scale T, is investigated. The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonlinear dynamic equation. Several new sufficient conditions for oscillatory solutions of this equation are obtained. |
| format | Article |
| id | doaj-art-7a6d2e043dfd45d49d321c9f95ed4cfe |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7a6d2e043dfd45d49d321c9f95ed4cfe2025-08-20T02:07:37ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/253107253107Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time ScalesM. Tamer Şenel0Department of Mathematics, Faculty of Sciences, Erciyes University, 38039 Kayseri, TurkeyThe oscillation of solutions of the second-order nonlinear dynamic equation (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t))γ+f(t,x(g(t)))=0, with damping on an arbitrary time scale T, is investigated. The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonlinear dynamic equation. Several new sufficient conditions for oscillatory solutions of this equation are obtained.http://dx.doi.org/10.1155/2012/253107 |
| spellingShingle | M. Tamer Şenel Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales Abstract and Applied Analysis |
| title | Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_full | Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_fullStr | Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_full_unstemmed | Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_short | Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales |
| title_sort | kamenev type oscillation criteria for the second order nonlinear dynamic equations with damping on time scales |
| url | http://dx.doi.org/10.1155/2012/253107 |
| work_keys_str_mv | AT mtamersenel kamenevtypeoscillationcriteriaforthesecondordernonlineardynamicequationswithdampingontimescales |