An application of Hadamard-Lévy’s theorem to a scalar initial value problem

Rădulescu, Sorin; Rădulescu, Marius

doi:10.1090/S0002-9939-1989-0952321-7

An application of Hadamard-Lévy’s theorem to a scalar initial value problem
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Proc. Amer. Math. Soc. 106 (1989), 139-143 Request permission

Abstract:

A global inversion theorem due to Hadamard and Lévy is applied to a Volterra integral operator acting in a space of continuous functions to obtain a one-sided criterion for global existence and uniqueness of a scalar initial value problem.

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