| 一类二阶非线性微分方程组零解全局稳定的充要条件 |
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| 引用本文： | 王向荣. 一类二阶非线性微分方程组零解全局稳定的充要条件[J]. 山东科技大学学报(自然科学版), 1991, 0(4) |
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| 作者姓名： | 王向荣 |
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| 作者单位： | 山东矿业学院应用数学与软件工程系 |
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| 摘 要： | 克拉索夫斯基曾研究了二阶微分方程组x=f_1(x)+ay y=bx+f_2(y)的零解全局渐近稳定的充分条件,本文利用定性方法和Dini导数研究必要条件,给出了零解全局稳定的充要条件。
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| 关 键 词： | 二阶 非线性 微分方程 全局稳定性 |
A SUFFICIENT AND NECESSARY CONDITION OF GLOBAL ASYMPTOTIC STABILITY FOR ZERO SOLUTION OF A KIND OF NONLINEAR DIFFERENTIAL SYSTEM OF EQU ATIONS WITH SECOND ORDER |
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| Wang Xiangrong. A SUFFICIENT AND NECESSARY CONDITION OF GLOBAL ASYMPTOTIC STABILITY FOR ZERO SOLUTION OF A KIND OF NONLINEAR DIFFERENTIAL SYSTEM OF EQU ATIONS WITH SECOND ORDER[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 1991, 0(4) |
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| Authors: | Wang Xiangrong |
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| Affiliation: | Dept. of Appl. Math. & Software Eng. |
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| Abstract: | This paper is concerned with the nonlinear system. x=f_1(x) +ay, y=bx+f_2(y),A sufficient and necessary condition of global asymptotic srability for zero solution is obtained. |
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| Keywords: | second order nonlinear differential equations global asymptotic stability |
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