Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-16T21:31:34.441Z Has data issue: false hasContentIssue false

An existence theorem for differential equations

Published online by Cambridge University Press:  17 April 2009

J. E. Drummond
Affiliation:
Australian National University, Canberra, ACT.
Rights & Permissions [Opens in a new window]

Abstract

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.

An existence theorem is given for differential equations which fail the simple Lipschitz condition on some surfaces but whose solution curve is not tangential to any of these surfaces.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1970

References

REFERENCE

[1]Hille, Einar, Lectures on ordinary differential equations (Addison-Wesley, Reading, Massachusetts; Menlo Park, California; London; Don Mills, Ontario; 1969).Google Scholar