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On an Inequality of Peano(1)

Published online by Cambridge University Press:  20 November 2018

James S. Muldowney
James S. Muldowney*
Affiliation:
University of Alberta, Edmonton Alberta
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Let f be a real valued function on an open subset of R2. It is assumed that f satisfies Carathéodory's conditions: f (t,x) is continuous in x for each t, Lebesgue measurable in t for each x and there is a locally integrable function m(t) such that |f(t, x)| ≤ m(t) uniformly in x. A proof will be given of the following theorem.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 1 , March 1973 , pp. 79 - 81
Copyright
Copyright © Canadian Mathematical Society 1973

Footnotes

(1)

This work was supported by Defence Research Board Grant DRB-9540-28.

References

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