| 焦建军,陈兰荪,禹谢华.二阶非线性时滞微分方程区间强迫振动准则[J].,2008,(4):613-619 |
| 二阶非线性时滞微分方程区间强迫振动准则 |
| Interval forced oscillation criterion of the second order nonlinear delay differential equations |
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| DOI：10.7511/dllgxb200804028 |
| 中文关键词: 振动 非线性 时滞微分方程 |
| 英文关键词: oscillation nonlinearity delay differential equations |
| 基金项目:国家自然科学基金资助项目(10771179)；贵州省重点学科基金资助项目(0601). |
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| 中文摘要: |
| 研究了具有振动位势的二阶非线性时滞微分方程的区间强迫振动．利用H lder不等式与数学分析的方法，对于满足不同条件时的情形进行了讨论，给出了在不同条件下具有振动位势的二阶非线性时滞微分方程的区间强迫振动的若干充分条件，推广了已有的一些结论．为更好地理解定理，同时给出了具体的实例并对定理的条件进行了验证． |
| 英文摘要: |
| Interval forced oscillation criterion of the second order nonlinear delay differential equations with oscillatory potential is investigated. By H lder inequality and mathematical analysis methods, several sufficient conditions of interval forced oscillation of the second order nonlinear delay differential equations with oscillatory potential are obtained with several conditions satisfied. Some existing conclusions are extended. And the conditions of the theorem are verified by a specific example so that the theorem can be understood well. |
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