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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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 problèmes à l'aide d'intégrales définies, Mag. Naturvidenskab., Aargang I, bd. 2, 1823 (Oeurves Completes, T.1, B. 2, Christiania, 1881, pp. 11-27).

[2]
N. H. Abel, Auflösung einer mechanischer Aufgabe, Crelles J. (1826), 153-157.

[3]
P. R. Beesak, Gronwall inequalities, Carleton Math. Lecture Notes (1975), no. 11. MR 0486735 (58:6436)

[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. 20 (1919), 292-296. MR 1502565

[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. (Russian) MR 545148 (80k:34070)

[7]
H. McNabb and G. Weir, Comparison theorems for causal functional differential equations, Proc. Amer. Math. Soc. 104 (1988), 449-452. MR 962811 (90e:34126)

[8]
A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, New York and Berlin, 1987. MR 710486 (85g:47061)

[9]
J. Schröder, Operator inequalities, Academic Press, New York, 1980. MR 578001 (84k:65063)

[10]
Z. B. Tsalyuk, Volterra functional inequalities, Yzv. Vyssh. Ucheb. Zaved. 3 (1969), 86-95. (Russian) MR 0247519 (40:784)

[11]
W. Walter, Differential and integral inequalities, Springer-Verlag, Berlin, 1979. MR 0271508 (42:6391)


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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