| 求微分方程奇解时p的相容性问题 |
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| 引用本文： | 孔志宏,王辉. 求微分方程奇解时p的相容性问题[J]. 高等数学研究, 2010, 13(3): 28-31 |
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| 作者姓名： | 孔志宏 王辉 |
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| 作者单位： | 孔志宏,KONG Zhi Hong(太原师范学院数学系,太原,030012);王辉,WANG Hui(西安邮电学院自动化学院,西安,710061) |
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| 摘 要： | 在利用p-判别式寻求及判别奇解时,必不可少的一个步骤,也是必须考虑的一个问题,就是对p的相容性(或合理性)进行检验,而此点却常常被人们所忽视.事实上,p-判别式中求得或涉及到的p自始至终都应当等于由p-判别曲线y=φ(x)相应得到的dφ(x)/dx.否则,接下去的逻辑演算必然是错误或徒劳重复的.
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| 关 键 词： | p的相容性 微分方程 奇解 p-判别式（p判别曲线） 包络 |
On the Consistency of p in Singular Solution |
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| KONG Zhi Hong,WANG Hui. On the Consistency of p in Singular Solution[J]. Studies In College Mathematics, 2010, 13(3): 28-31 |
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| Authors: | KONG Zhi Hong WANG Hui |
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| Affiliation: | 1. Dept. of Math. ,Taiyuan Normal University, Taiyuan, 030012, PRC; 2. Xi＇an University of Posts and Telecommunications, Xi＇an, 710061, PRC) |
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| Abstract: | It＇s an indispensable step, but always be ignored, to examine the consistency of p,while solving or testing singular solution by p-discriminant, where p must be equal to dφ（x）/dx.and y =φ（x） is one of the curves of p-discriminant. Without the consistency of p, the whole solving procedure will be illogical and unavailing. |
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| Keywords: | Consistency of p differential equations singular solution p-discriminant envelope. |
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