Geodesic
On an Inequality of Peano(1)
Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 79-81

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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. 
Muldowney, James S. On an Inequality of Peano(1). Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 79-81. doi: 10.4153/CMB-1973-016-8
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