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A Theorem on the Complete Integral

Published online by Cambridge University Press:  20 January 2009

H. E. Daniels
H. E. Daniels
Affiliation:
Edinburgh University.
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The object of the present note is to show that a well-known theorem in the theory of non-linear partial differential equations, which is usually proved analytically, admits of a geometrical proof which exhibits the relations concerned in a more intuitive manner.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 3 , Issue 2 , July 1932 , pp. 144 - 146
Copyright
Copyright © Edinburgh Mathematical Society 1932

References

1 See, for example, Bieberbach, L., Differentialgleichungen (Berlin, 1923), 220–221,CrossRefGoogle Scholar or Goursat, , Leçons sur l'intégration des équations aux dérivées partielles du premier ordre Paris, 1891), 167 (§ 66).Google Scholar