On Gronwall and Wendroff type inequalities-Reference-Cited by-同舟云学术

On Gronwall and Wendroff type inequalities

Published:1983 Issue:3 Volume:87 Page:481-486
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Abramowich J.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-03/S0002-9939-1983-0684643-6/S0002-9939-1983-0684643-6.pdf

Reference3 articles.

1. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 55;Walter, Wolfgang,1970

2. On generalized Wendroff-type inequalities and their applications;Bondge, B. K.;Nonlinear Anal.,1980

3. A two independent variable Gronwall-type inequality;Snow, Donald R.,1972

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