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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-50d3f16adc574894b5659434e16b0b2c2020-11-24T21:02:54ZengHindawi LimitedDiscrete 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yang-Cong Qiu Qi-Ru Wang |
| 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 |
| author_facet |
Yang-Cong Qiu Qi-Ru Wang |
| author_sort |
Yang-Cong Qiu |
| title |
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_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_sort |
kamenev-type oscillation criteria of second-order nonlinear dynamic equations on time scales |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2013-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2013/315158 |
| work_keys_str_mv |
AT yangcongqiu kamenevtypeoscillationcriteriaofsecondordernonlineardynamicequationsontimescales AT qiruwang kamenevtypeoscillationcriteriaofsecondordernonlineardynamicequationsontimescales |
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1716774951425409024 |