Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales
Using functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t)γ)+f(t,x(g(t)))=0. Two examples are included to show the significance of t...
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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/10.1155/2014/964239 |
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| _version_ | 1832554616961630208 |
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| author | Yang-Cong Qiu Qi-Ru Wang |
| author_facet | Yang-Cong Qiu Qi-Ru Wang |
| author_sort | Yang-Cong Qiu |
| collection | DOAJ |
| description | Using functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t)γ)+f(t,x(g(t)))=0. Two examples are included to show the significance of the results. |
| format | Article |
| id | doaj-art-214fa06d98f14915bb9546088fef923f |
| 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-214fa06d98f14915bb9546088fef923f2025-02-03T05:50:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/964239964239Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time ScalesYang-Cong Qiu0Qi-Ru Wang1School of Humanities & Social Science, Shunde Polytechnic, Foshan, Guangdong 528333, ChinaSchool of Mathematics & Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, ChinaUsing functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t)γ)+f(t,x(g(t)))=0. Two examples are included to show the significance of the results.http://dx.doi.org/10.1155/2014/964239 |
| spellingShingle | Yang-Cong Qiu Qi-Ru Wang Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales Abstract and Applied Analysis |
| title | Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales |
| title_full | Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales |
| title_fullStr | Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales |
| title_full_unstemmed | Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales |
| title_short | Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales |
| title_sort | oscillation criteria of second order dynamic equations with damping on time scales |
| url | http://dx.doi.org/10.1155/2014/964239 |
| work_keys_str_mv | AT yangcongqiu oscillationcriteriaofsecondorderdynamicequationswithdampingontimescales AT qiruwang oscillationcriteriaofsecondorderdynamicequationswithdampingontimescales |