| 一类非线性非自治系统周期解的研究 |
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| 引用本文： | 金均.一类非线性非自治系统周期解的研究[J].上海师范大学学报(自然科学版),1997(1). |
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| 作者姓名： | 金均 |
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| 作者单位： | 上海师范大学数学系!上海，200234 |
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| 摘 要： | 研究了一类非线性非自治周期系统周期解存在唯一性及其渐近稳定性．采用类比缓变系数的方法，作出了相应的Liapunov函数，对缓变系数作了较为精确的估计，得到了存在唯一渐近稳定的周期解的充分条件．
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| 关 键 词： | 非线性非自治系统 周期解 存在唯一性 渐近稳定 |
Periodic Solutions to a Class of Nonlinear Nonautonomous Systems |
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| Jin Jun.Periodic Solutions to a Class of Nonlinear Nonautonomous Systems[J].Journal of Shanghai Normal University(Natural Sciences),1997(1). |
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| Authors: | Jin Jun |
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| Institution: | Department of Mathcmatics |
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| Abstract: | We study the existence, uniqueness and asymtotic stability of the periodic solutions to a class of the nonlinear nonautonomous periodic systems.We find the relevant Liapunov function by using the method of analogical slowly-changing coefficients. We also give a comparatively ac- curate estimation of the slowly-changing coeffcients and offer the suffcient conditions which guarantee the existence, uniqueness and asymptotic stability of the periodic solutions. |
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| Keywords: | nonlinear nonautonomous system periodic solution existence and uniqueness asymptotic stability |
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