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Some integrodifferential inequalities in n-independent variables

Published online by Cambridge University Press:  14 November 2011

Lu-San Chen
Affiliation:
Institute of Mathematics, National Central University, Chung-Li, Taiwan and Institute of Mathematics, Academia Sinica, Taipei, Taiwan
Cheh-Chih Yeh
Affiliation:
Department of Mathematics, National Central University, Chung-Li, Taiwan

Synopsis

This note presents some integrodifferential inequalities in n-independent variables which are generalizations of the integrodifferential inequalities recently established by Pachpatte in two independent variables.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

1Beckenbach, E. F. and Bellman, R.. Inequalities (Berlin: Springer, 1961).CrossRefGoogle Scholar
2Chandra, J. and Davis, P. W.. Linear generalizations of Gronwall's inequality. Proc. Amer. Math. Soc. 60 (1976), 157160.Google Scholar
3Headley, V. B.. A multidimensional nonlinear Gronwall inequality. J. Math. Anal. Appl. 47 (1974), 250255.CrossRefGoogle Scholar
4Pachpatte, B. G.. On some new integrodifferential inequalities of the Wendroff type. J. Math. Anal. Appl. 73 (1980), 419500.CrossRefGoogle Scholar
5Pachpatte, B. G.. A note on some new partial integral inequalities. Chinese J. Math. 8 (1980), 1317.Google Scholar
6Snow, D. R.. A two independent variables Gronwall type inequality. In Inequalities vol. III, pp. 333340 (New York: Academic, 1972).Google Scholar
7Snow, D. R.. Gronwall's inequality for systems of partial differential equations in two independent variables. Proc. Amer. Math. Soc. 33 (1972), 4654.Google Scholar
8Young, E. L.. Gronwall's inequality in n-independent variables. Proc. Amer. Math. Soc. 41 (1973), 241244.Google Scholar