| 引用本文： |
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焦建军,李刚,罗桂烈.具有振动位势的二阶非线性常微分方程的区间强迫振动判别准则[J].广西科学,2004,11(4):291-295,299. [点击复制]
- Jiao Jianjun,Li Gang,Luo Guilie.Interval Oscillation Criteria for A Foced Second-order Nonlinear Ordinary Differential Equation with Oscillatory Potential[J].Guangxi Sciences,2004,11(4):291-295,299. [点击复制]
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| 摘要: |
| 给出具有振动位势的二阶非线性常微分方程(r(t)y'(t))'+p(t)y'(t)+Q(t,y(t))=g(t)区间强迫振动的判别准则和实例. |
| 关键词: 常微分方程 振动 非线性 判别 |
| DOI： |
| 投稿时间：2004-03-25 |
| 基金项目:广西青年科学基金(0007002)资助项目。 |
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| Interval Oscillation Criteria for A Foced Second-order Nonlinear Ordinary Differential Equation with Oscillatory Potential |
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Jiao Jianjun, Li Gang, Luo Guilie
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| (Coll. of Math. & Comp. Sci., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China) |
| Abstract: |
| New oscillation criteria established for a second order nonlinear ordinary differential equation with oscillatory potential(r(t)y'(t))' +p(t)y'(t) +Q(t,y(t))=g(t) are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of[t0,+∞). |
| Key words: ordinary differential equation oscillation nonlinear judgement |
