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Proceedings of the American Mathematical Society

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

 

 

On Gronwall and Wendroff type inequalities


Author: J. Abramowich
Journal: Proc. Amer. Math. Soc. 87 (1983), 481-486
MSC: Primary 34A40; Secondary 26D15
DOI: https://doi.org/10.1090/S0002-9939-1983-0684643-6
MathSciNet review: 684643
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Abstract: It is shown how Gronwall's Lemma and the extension to many variables given by W. Walter may be derived using the simple method of recursion. This same method is used to extend this result and to derive a more general Wendroff type inequality.

Upper and lower bounds for the Neumann series in the case of two independent variables are given.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0684643-6
Keywords: Integral inequality, Gronwall, Wendroff, recursion
Article copyright: © Copyright 1983 American Mathematical Society