A short proof of a Greene theorem

Wang, Chung Lie

doi:10.1090/S0002-9939-1978-0466457-3

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A short proof of a Greene theorem
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Proc. Amer. Math. Soc. 69 (1978), 357-358 Request permission

Abstract:

A short and simple proof of an inequality of the Gronwall type is given for a class of integral systems based upon the generalized Gronwall lemma of Sansone-Conti.

References

David E. Greene, An inequality for a class of integral systems, Proc. Amer. Math. Soc. 62 (1976), no. 1, 101–104 (1977). MR 460765, DOI 10.1090/S0002-9939-1977-0460765-7
G. Sansone and R. Conti, Non-linear differential equations, Revised edition, International Series of Monographs in Pure and Applied Mathematics, Vol. 67, The Macmillan Company, New York, 1964. Translated from the Italian by Ainsley H. Diamond; A Pergamon Press Book. MR 0177153