光滑映射芽的I-P-K-等价及其应用（英文）

On I-P-K-equivalence of Smooth Map Germs and Applications

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摘要本文研究了具有区别参数的光滑映射芽I-P-K-等价的性质,并应用该性质给出了克莱罗型方程的r-参数族的分类. We investigated the properties of I-P-K-equivalence of smooth map germs with distinguished parameters. As an application we gave the classification of r-parameter families of Clairaut type equations.

作者许静波黄娟娟宋立新

机构地区吉林师范大学数学学院

出处《吉林师范大学学报（自然科学版）》 2015年第1期72-76,共5页 Journal of Jilin Normal University:Natural Science Edition

基金 Natural Science Foundation of China(11301215,11101072) Program of Science and Technology Development of Jilin Province(20130522094JH,201201081)

关键词 I-P-K-等价 I-P-C+-等价有限决定性克莱罗型方程的r-参数族 I-P-K-equivalence I-P-C＋-equivalence finite determinacy r-parameter families of Clairaut type equations

分类号 O192 [理学—基础数学]

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1陈方年,汤光宋.几类 CLAIRAUT 型常微分方程的通解公式[J].渝州大学学报,1998,15(4):12-15. 被引量：2

吉林师范大学学报（自然科学版）

2015年第1期

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光滑映射芽的I-P-K-等价及其应用（英文）

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