| 一类非自治Liénard系统的定性研究 |
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| 引用本文： | 孙建华.一类非自治Liénard系统的定性研究[J].南京大学学报(自然科学版),1989(3). |
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| 作者姓名： | 孙建华 |
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| 作者单位： | 南京大学数学系 |
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| 摘 要： | 本文研究非自治Lienard系统x (x)x e(t)g(x)=h(l)解的定性性态.在一定的条件下,我们证明了该系统周期解的存在性、局部唯一性和渐近稳定性,所得结果推广了文的相应结论.
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| 关 键 词： | 非自治系统 控制系统 非常稳定性 周期解 |
QUALITATIVE STUDY OF A TYPE OF OFNONAUTONOMOUS LIENARD SYSTEM |
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| Sun Jianhua.QUALITATIVE STUDY OF A TYPE OF OFNONAUTONOMOUS LIENARD SYSTEM[J].Journal of Nanjing University: Nat Sci Ed,1989(3). |
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| Authors: | Sun Jianhua |
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| Institution: | Dcpantment of Mathematis |
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| Abstract: | The property of solutions for the nonautonmous Lienard system is studied by qualitative methods. Under some conditions, the existence, local uniqueness and asymptotic stability of a periodic solution for this system arc proved. The results obtained arc generalizations of the corresponding conclusions of the papers. |
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| Keywords: | Nonautonomous system controlled system extremal stability periodic solution |
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