| 一阶常微分方程比较定理的高阶推广 |
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| 引用本文： | 梁淼.一阶常微分方程比较定理的高阶推广[J].苏州市职业大学学报,2007,18(4):87-89. |
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| 作者姓名： | 梁淼 |
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| 作者单位： | 苏州市职业大学,基础部,江苏,苏州,215104 |
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| 摘 要： | 比较定理是研究常微分方程解的属性的基本工具。但对于高阶的情况,现有的结论只给出了类似把解作为向量范数之间的比较。我们将一阶常微分方程的比较定理推广到高阶,从而给出了高阶常微分方程的解自身的大小的比较定理。
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| 关 键 词： | 比较定理 常微分方程 Kamke函数 |
| 文章编号： | 1008-5475(2007)04-0087-02 |
| 修稿时间： | 2007年9月11日 |
The Extent of Comparison Theorems of Ordinary Differential Equations to the Higher Order |
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| LIANG Miao.The Extent of Comparison Theorems of Ordinary Differential Equations to the Higher Order[J].Journal of Suzhou Vocational University,2007,18(4):87-89. |
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| Authors: | LIANG Miao |
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| Abstract: | The comparison theorem for the ordinary differential equation is the basic tool to study the relevant solution's properties. However, in the higher order case, what we have now is only the theorem in comparing norms of the solutions. Therefore, we extend the comparison theorem to the higher order so that we can compare the solutions directly. |
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| Keywords: | comparison theorem ordinary differential equations Kamke functions |
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