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On an Inequality of Peano(1)
Published online by Cambridge University Press: 20 November 2018
Extract
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.
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- Copyright © Canadian Mathematical Society 1973
Footnotes
This work was supported by Defence Research Board Grant DRB-9540-28.
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