Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales
Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. The obtained interval oscillation criteria can be applied to equations...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/952932 |
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| _version_ | 1832552194781478912 |
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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
interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. The obtained interval oscillation criteria can be applied to equations with a forcing term. An example is included to show the significance of the results. |
| format | Article |
| id | doaj-art-f4c1f40d54674ee98e099c3d8bf572e5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f4c1f40d54674ee98e099c3d8bf572e52025-02-03T05:59:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/952932952932Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time ScalesYang-Cong Qiu0Qi-Ru Wang1Department of Humanities and Education, Shunde Polytechnic, Foshan, Guangdong 528333, ChinaSchool of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, ChinaUsing functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. The obtained interval oscillation criteria can be applied to equations with a forcing term. An example is included to show the significance of the results.http://dx.doi.org/10.1155/2012/952932 |
| spellingShingle | Yang-Cong Qiu Qi-Ru Wang Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales Discrete Dynamics in Nature and Society |
| title | Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_full | Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_fullStr | Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_full_unstemmed | Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_short | Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales |
| title_sort | interval oscillation criteria of second order nonlinear dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2012/952932 |
| work_keys_str_mv | AT yangcongqiu intervaloscillationcriteriaofsecondordernonlineardynamicequationsontimescales AT qiruwang intervaloscillationcriteriaofsecondordernonlineardynamicequationsontimescales |