On integral inequalities of Gronwall-Bellman type

Young, Eutiquio C.

doi:10.1090/S0002-9939-1985-0792275-6

On integral inequalities of Gronwall-Bellman type
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by Eutiquio C. Young PDF

Proc. Amer. Math. Soc. 94 (1985), 636-640 Request permission

Abstract:

A sharp bound is given for solutions of an integral inequality of the Gronwall-Bellman type. The bound which is the exact solution of the corresponding integral equation is obtained by reducing the equation to a system of differential equations.

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