| 周期系数的Riccati方程的周期解 |
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| 引用本文： | 何世本.周期系数的Riccati方程的周期解[J].辽宁工程技术大学学报(自然科学版),1988(1). |
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| 作者姓名： | 何世本 |
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| 作者单位： | 阜新矿业学院数学教研室 |
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| 摘 要： | 本文提出了周期系数的Riccali方程存在周期解的一个充要条件,针对“示性方程”A(x)y~2+B(x)y+C(x)=0的“判别式”B~2(x)-4A(x)C(x)不定号情形,给出了一些新的判定方法,举例说明了本文结果的应用.
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| 关 键 词： | 周期系数的Riccati方程 周期解 示性方程 |
ON PERIODIC SOLUTIONS OF RICCATI'S EQUATION WITH PERIODIC COEFFICIENTS |
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| He Shiben.ON PERIODIC SOLUTIONS OF RICCATI'S EQUATION WITH PERIODIC COEFFICIENTS[J].Journal of Liaoning Technical University (Natural Science Edition),1988(1). |
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| Authors: | He Shiben |
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| Abstract: | In this paper, we have showed the necessary and sufficient condition for existence of periodic solution of Riccati's equation with periodic coefficients.
Suppose sign of "the criterion" B2(x) - 4A(x)C(x) for "the characteristic equation" A(x)y2 + B(x)y + C(x) = 01] is no determinate, then new some criteria manners had been given. A number of examples illustrating the application of present results are provided. |
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| Keywords: | Riccati's equation with periodic coefficients periodic solution characteristic equation |
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