Bulletin of the American Mathematical Society

MathSciNet review: 1568058
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Book Information:

Author: 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.

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T. H. Gronwall, Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Ann. of Math. (2) 20 (1919), no. 4, 292–296. MR 1502565, DOI 10.2307/1967124

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V. Lakshmikantham and S. Leela, Differential and integral inequalities, vol. I, Academic Press, New York, 1969.

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Alex McNabb and Graham Weir, Comparison theorems for causal functional-differential equations, Proc. Amer. Math. Soc. 104 (1988), no. 2, 449–452. MR 962811, DOI 10.1090/S0002-9939-1988-0962811-8

A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol. 44, Springer-Verlag, New York, 1983. MR 710486, DOI 10.1007/978-1-4612-5561-1

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Z. B. Caljuk, Functional Volterra inequalities, Izv. Vysš. Učebn. Zaved. Matematika 1969 (1969), no. 3 (82), 86–95 (Russian). MR 0247519

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[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)

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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)