| 一类四阶非线性微分方程解的有界性及稳定性 |
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| 引用本文： | 刘俊,王铎.一类四阶非线性微分方程解的有界性及稳定性[J].数学研究与评论,2003,23(4):597-603. |
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| 作者姓名： | 刘俊 王铎 |
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| 作者单位： | 1. 曲靖师范学院数学系,云南,曲靖,655000
2. 北京大学数学科学学院,北京,100871 |
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| 基金项目： | The Applied Foundation of the Education Department of Yunnan Province(0012226) |
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| 摘 要： | 运用Liapunov函数方法,研究了一类四阶非线性微分方程解的有界性及稳定性,得到了解的有界性及零解的全局渐近稳定性的充分条件。
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| 关 键 词： | 非线性微分方程 Liapunov函数 渐近稳定性 有界性 |
| 收稿时间： | 2000/11/8 0:00:00 |
The Boundedness and the Stability of Solutions for a Class of Fourth Order Nonlinear Differential Equations |
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| LIU Jun and WANG Duo.The Boundedness and the Stability of Solutions for a Class of Fourth Order Nonlinear Differential Equations[J].Journal of Mathematical Research and Exposition,2003,23(4):597-603. |
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| Authors: | LIU Jun and WANG Duo |
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| Institution: | Dept. of Math.; Qujing Teachers' College; Yunnan; China;School of Mathematics Sciences; Peking University; Beijing; China |
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| Abstract: | In this paper, the boundedness and the stability of solutions for a class of fourth order nonlinear differential equations are studied by using the method of Liapunov function. The sufficient conditions which guarantee the boundedness and stability of solutions are preasented. |
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| Keywords: | nonlinear differential equation Liapunov function asymptotic stability boundedness |
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