Book Review
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MathSciNet review:
1567374
Full text of review:
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Book Information:
Author:
Johann Schröder
Title:
Operator inequalities
Additional book information:
Mathematics in Science and Engineering, vol. 147, Academic Press, New York, 1980, xvi + 367 pp., $39.50.
Stephen R. Bernfeld and V. Lakshmikantham, An introduction to nonlinear boundary value problems, Mathematics in Science and Engineering, Vol. 109, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1974. MR 0445048
Klaus Deimling, Ordinary differential equations in Banach spaces, Lecture Notes in Mathematics, Vol. 596, Springer-Verlag, Berlin-New York, 1977. MR 0463601
G. S. Ladde and V. Lakshmikantham, Random differential inequalities, Mathematics in Science and Engineering, vol. 150, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. MR 618464
V. Lakshmikantham, Comparison results for reaction-diffusion equations in a Banach space, Confer. Sem. Mat. Univ. Bari 158-162 (1979), 121–156. MR 568128
5. V. Lakshmikantham and S. Leela, Differential and integral inequalities. I, II, Academic Press, New York, 1969.
V. Lakshmikantham and S. Leela, Nonlinear differential equations in abstract spaces, International Series in Nonlinear Mathematics: Theory, Methods and Applications, vol. 2, Pergamon Press, Oxford-New York, 1981. MR 616449
Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1967. MR 0219861
Jacek Szarski, Differential inequalities, Monografie Matematyczne, Tom 43, Państwowe Wydawnictwo Naukowe, Warsaw, 1965. MR 0190409
Wolfgang Walter, Differential and integral inequalities, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 55, Springer-Verlag, New York-Berlin, 1970. Translated from the German by Lisa Rosenblatt and Lawrence Shampine. MR 0271508
- 1.
- S. R. Bernfeld and V. Lakshmikantham, An introduction to nonlinear boundary value problems, Academic Press, New York, 1974. MR 0445048
- 2.
- K. Deimling, Ordinary differential equations in Banach spaces, Lecture Notes in Math., vol. 596, Springer-Verlag, Berlin and New York, 1977. MR 463601
- 3.
- G. S. Ladde and V. Lakshmikantham, Random differential inequalities, Academic Press, New York, 1980. MR 618464
- 4.
- V. Lakshmikanthan, Comparison results for reaction-diffusion equations in a Banach space, Proc. Conf., A Survey on the Theoretical and Numerical Trends in Nonlinear Analysis, Gius. Laterza & Figli. S. p. A., Bari, 1979, pp. 121-156. MR 568128
- 5.
- V. Lakshmikantham and S. Leela, Differential and integral inequalities. I, II, Academic Press, New York, 1969.
- 6.
- V. Lakshmikantham and S. Leela, Nonlinear differential equations in abstract spaces, Pergamon Press, Oxford, 1981. MR 616449
- 7.
- M. G. Protter and H. F. Weinberger, Maximum principles in differential equations, Prentice-Hall, Englewood Cliffs, N. J., 1967. MR 219861
- 8.
- J. Szarski, Differential inequalities, Monografie Mat., vol. 43, Warszawa, 1965. MR 190409
- 9.
- W. Walter, Differential and integral inequalities, Springer-Verlag, Berlin and New York, 1970. MR 271508
Review Information:
Reviewer:
V. Lakshmikantham
Journal:
Bull. Amer. Math. Soc.
7 (1982), 409-411
DOI:
https://doi.org/10.1090/S0273-0979-1982-15050-9