Book Review
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MathSciNet review:
1568130
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Jan Pr\"uss
Title:
Evolutionary integral equations and applications
Additional book information:
Monographs in Mathematics, vol. 87, Birkh\"auser Verlag, Boston, MA, 1993, xxvi+366 pp., US$139.00. ISBN 3-7643-2876-2.
Ph. Clément and J. A. Nohel, Abstract linear and nonlinear Volterra equations preserving positivity, SIAM J. Math. Anal. 10 (1979), no. 2, 365–388. MR 523852, DOI 10.1137/0510035
M. C. Delfour and J. Karrakchou, State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II, J. Math. Anal. Appl. 125 (1987), no. 2, 361–450. MR 896174, DOI 10.1016/0022-247X(87)90098-9
G. Gripenberg, S.-O. Londen, and O. Staffans, Volterra integral and functional equations, Encyclopedia of Mathematics and its Applications, vol. 34, Cambridge University Press, Cambridge, 1990. MR 1050319, DOI 10.1017/CBO9780511662805
R. K. Miller, Linear Volterra integrodifferential equations as semigroups, Funkcial. Ekvac. 17 (1974), 39–55. MR 350511
Jan Prüss, Linear hyperbolic Volterra equations of scalar type, Semigroup theory and applications (Trieste, 1987) Lecture Notes in Pure and Appl. Math., vol. 116, Dekker, New York, 1989, pp. 367–385. MR 1009408
Michael Renardy, William J. Hrusa, and John A. Nohel, Mathematical problems in viscoelasticity, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 35, Longman Scientific & Technical, Harlow; John Wiley & Sons, Inc., New York, 1987. MR 919738
- [1]
- Ph. Clément and J. A. Nohel, Abstract linear and nonlinear Volterra equations preserving positivity, SIAM J. Math. Anal. 12 (1979), 365-388. MR 523852 (80b:47095)
- [2]
- M. C. Delfour and J. Karrakchou, State space theory of linear time invariant systems with delays in state, control and observation variations, J. Math. Anal. Appl. 125 (1987), 361-450. MR 896174 (88m:93096)
- [3]
- G. Gripenberg, S. O. Londen, and O. J. Staffans, Volterra integral and functional equations, Cambridge Univ. Press, Cambridge, 1990. MR 1050319 (91c:45003)
- [4]
- R. K. Miller, Linear Volterra integrodifferential equations as a semigroup, Funkcial. Ekvac. 17 (1974), 39-55. MR 0350511 (50:3003)
- [5]
- J. Prüss, Linear hyperbolic Volterra equations of scalar type, semigroup theory and applications (Ph. Clément, S. Invernizzi, E. Mitidieri, and I. Vrabie, eds.), Dekker, New York, 1989, pp. 367-384. MR 1009408 (90i:45021)
- [6]
- M. Renardy, W. J. Hrusa, and J. A. Nohel, Mathematical problems in viscoelasticity, Pitman Monographs Surveys Pure Appl. Math., vol. 34, Longman Sci. Tech., Harlow, Essex, 1988. MR 919738 (89b:35134)
Review Information:
Reviewer:
G. Da Prato
Journal:
Bull. Amer. Math. Soc.
31 (1994), 288-291
DOI:
https://doi.org/10.1090/S0273-0979-1994-00534-8
