Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales
Using functions from some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. Two examples are included to show the significance of the resul...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/315158 |
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| _version_ | 1832549650596364288 |
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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 from some function classes and a generalized Riccati technique, we establish
Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the
form (p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. Two examples are included to show the significance of the results. |
| format | Article |
| id | doaj-art-50d3f16adc574894b5659434e16b0b2c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-50d3f16adc574894b5659434e16b0b2c2025-02-03T06:10:49ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/315158315158Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time ScalesYang-Cong Qiu0Qi-Ru Wang1Department of Humanities & Education, Shunde Polytechnic, Foshan, Guangdong 528333, ChinaSchool of Mathematics & Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, ChinaUsing functions from some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. Two examples are included to show the significance of the results.http://dx.doi.org/10.1155/2013/315158 |
| spellingShingle | Yang-Cong Qiu Qi-Ru Wang Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales Discrete Dynamics in Nature and Society |
| title | Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_full | Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_fullStr | Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_full_unstemmed | Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_short | Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_sort | kamenev type oscillation criteria of second order nonlinear dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2013/315158 |
| work_keys_str_mv | AT yangcongqiu kamenevtypeoscillationcriteriaofsecondordernonlineardynamicequationsontimescales AT qiruwang kamenevtypeoscillationcriteriaofsecondordernonlineardynamicequationsontimescales |