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Book Review
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Book Information
Author(s):
Drumi Bainov and Pavel Simeonov
Title:
Integral inequalities and applications
Additional book information:
(translated by R. A. M. Hoksbergen). Kluwer Academic Publishers, Dordrecht, Boston and London, 1992, xi+245 pp., US$110.00. ISBN 0-7923-1714-9
References:
- [1]
- N. H. Abel, Solution de quelques probl\`emes \`a l'aide d'int\'egrales d\'efinies, Mag. Naturvidenskab., Aargang I, bd. 2, 1823 (Oeurves Completes, T.1, B. 2, Christiania, 1881, pp. 11--27).
- [2]
- N. H. Abel, Aufl\"osung einer mechanischer Aufgabe, Crelles J. (1826), 153--157.
- [3]
- P. R. Beesak, Gronwall inequalities, Carleton Math. Lecture Notes (1975), no.~11.
- [4]
- T. H. Gronwall, Note on the derivative with respect to a parameter of the solutions of a system of differential equations, Ann. of Math. \textbf{20} (1919), 292--296.
- [5]
- V. Lakshmikantham and S. Leela, Differential and integral inequalities, vol.~I, Academic Press, New York, 1969.
- [6]
- A. A. Martynyuk and R. Gutowski, Integral inequalities and stability of motion, Naukova Dumka, Kiev, 1979 \afterall (Russian).
- [7]
- H. McNabb and G. Weir, Comparison theorems for causal functional differential equations, Proc. Amer. Math. Soc. \textbf{104} (1988), 449--452.
- [8]
- A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, New York and Berlin, 1987.
- [9]
- J. Schr\"oder, Operator inequalities, Academic Press, New York, 1980.
- [10]
- Z. B. Tsalyuk, Volterra functional inequalities, Yzv. Vyssh. Ucheb. Zaved. \textbf{3} (1969), 86--95 \afterall (Russian).
- [11]
- W. Walter, Differential and integral inequalities, Springer-Verlag, Berlin, 1979.
Additional Information:
Reviewer(s):
C.
Corduneanu
Review Information:
Journal:
Bull. Amer. Math. Soc.
29
(1993),
282-284.
DOI:
10.1090/S0273-0979-1993-00420-8
PII:
S 0273-0979(1993)00420-8
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