| －类非线性微分方程解空间显易结构的唯一性 |
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| 引用本文： | 马玲,管克英.－类非线性微分方程解空间显易结构的唯一性[J].北京航空航天大学学报,1994(1). |
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| 作者姓名： | 马玲 管克英 |
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| 作者单位： | 北京航空航天大学应用数理系 |
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| 摘 要： | 对所有形如的方程的集合Ｅ（Ｄ），引入线性变换群Ｇ（Ｄ），从而将Ｅ（Ｄ）进行等价分类，并由此提出解空间显易结构唯一性概念，指出Ｂｅｒｎｏｕｌｌｉ类方程具第一显易结构，但其显易结构不唯一，而任何非Ｂｅｒｎｏｕｌｌｉ类方程着具显易结构，则其显易结构必唯一．
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| 关 键 词： | 非线性方程 微分方程 空间结构 线性变换群 显易结构 |
ON UNIQUENESS ABOUT THE EXPLICIT STRUCTURE OF SOLUTION SPACE OF ONE TYPE OF LINEAR DIFFENTIAL EQOATION |
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| Ma Ling, Guan Keying.ON UNIQUENESS ABOUT THE EXPLICIT STRUCTURE OF SOLUTION SPACE OF ONE TYPE OF LINEAR DIFFENTIAL EQOATION[J].Journal of Beijing University of Aeronautics and Astronautics,1994(1). |
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| Authors: | Ma Ling Guan Keying |
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| Abstract: | The conceptions of the linear transformation group, the equivalent relation and the equivalent class are introduced to the differential equationin the complex domain, and a definition of uniqueness of the explicit structure of solutionspace is proposed. Based on this definition. the Bernoulli type equation and thenon-Bernoulli type equation are studied. |
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| Keywords: | non-linear equations differential eqations space structures linear trans formation groups explicit structure |
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