Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-06T07:45:31.788Z Has data issue: false hasContentIssue false

A Theorem on the Complete Integral

Published online by Cambridge University Press:  20 January 2009

H. E. Daniels
Affiliation:
Edinburgh University.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Copyright © Edinburgh Mathematical Society 1932

References

1 See, for example, Bieberbach, L., Differentialgleichungen (Berlin, 1923), 220221,CrossRefGoogle Scholar or Goursat, , Leçons sur l'intégration des équations aux dérivées partielles du premier ordre Paris, 1891), 167 (§ 66).Google Scholar