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Integrability Conditions and Carathéodory's Theorem

 

作者: H. A. Buchdahl,  

 

期刊: American Journal of Physics  （AIP Available online 1954）
卷期: Volume 22, issue 4  

页码: 182-183

 

ISSN:0002-9505

 

年代: 1954

 

DOI:10.1119/1.1933675

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

The theorem of Carathéodory is proved by showing that the necessary and sufficient condition for the existence of points neighboring to an arbitrary point which are inaccessible from the latter along solution curves of a linear total differential equation is that the conditions of integrability of the equation be satisfied.

 

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