| 广义 Liénard 方程的整体渐近性态 |
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| 引用本文： | 潘志刚.广义 Liénard 方程的整体渐近性态[J].系统科学与数学,1992,12(4):376-380. |
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| 作者姓名： | 潘志刚 |
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| 作者单位： | 安徽师范大学 芜湖241000
(潘志刚)，安徽师范大学 芜湖241000(蒋继发) |
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| 摘 要： | 我们研究如下的广义 Liénard 方程的整体渐近性态(?)+f(x)(?)+g(x)=e(t),或等价地,(?)其中,f(x),g(x)是实数轴上的连续函数,e(t)为正半轴上的连续函数.
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ON THE GLOBAL ASYMPTOTIC BEHAVIOR OF THE GENERALIZED LI(?)NARD EQUATION |
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| PAN ZHI-GANG,JIANG JI-FA.ON THE GLOBAL ASYMPTOTIC BEHAVIOR OF THE GENERALIZED LI(?)NARD EQUATION[J].Journal of Systems Science and Mathematical Sciences,1992,12(4):376-380. |
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| Authors: | PAN ZHI-GANG JIANG JI-FA |
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| Institution: | (1)Department of Mathematics,Anhui Normal University,Wuhu 241000;(2)Department of Mathematics,Anhui Normal University,Wuhu 241000 |
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| Abstract: | In this paper,the global asymptotic behavior of the generalized Liénard equa-tion \dot{x}+f(x)\dot{x}+g(x)=e(x),where e(t) is absolutely integrable is studied.Necessary and sufficient conditions for all solutions and their derivatives to convergeto zero are provided. |
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