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Book Review
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Book Information
Author(s):
Klaus Deimling
Title:
Multivalued differential equations
Additional book information:
de Gruyter, Berlin and New York, 1992, 260 pp., US$59.00. ISBN 3-11-0132125
References:
-
- [1]
- H. Antosiewicz and A. Cellina, Continuous selections and differential relations, J. Differential Equations 19 (1975), 386-398. MR 0430368 (55:3373)
- [2]
- J. P. Aubin, Viability theory, Birkhäuser, Basel and Boston, MA, 1992. MR 1134779 (92k:49003)
- [3]
- J. P. Aubin and A. Cellina, Differential inclusions, Springer, New York, 1984. MR 755330 (85j:49010)
- [4]
- A. Bressan, Directionally continuous selections and differential inclusions, Funkcial. Ekvac. 31 (1988), 459-470. MR 987798 (90d:34038)
- [5]
- A. Cellina, Multivalued differential equations and ordinary differential equations, SIAM J. Appl. Math. 18 (1970), 553-558. MR 0276537 (43:2281)
- [6]
- F. De Blasi and G. Pianigiani, A Baire category approach to the existence of solutions of multivalued differential equations in Banach spaces, Funkcial Ekvac. 25 (1982), 153-162. MR 694909 (84e:34019)
- [7]
- -, The Baire category method in existence problems for a class of multivalued differential equations with nonconvex right hand side, Funkcial. Ekvac. 28 (1985), 139-156. MR 816823 (87c:34018)
- [8]
- A. F. Filippov, On certain questions in the theory of optimal control, SIAM J. Control Optim. 1 (1962), 76-84. MR 0149985 (26:7469)
- [9]
- -, On the existence of solutions of multivalued differential equations, Mat. Zametki 10 (1971), 307-313. MR 0298090 (45:7142)
- [10]
- -, Differential equations with discontinuous right-hand sides, Kluwer, Dordrecht, 1988.
- [11]
- A. Fryskowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math. 76 (1983), 163-174. MR 730018 (85j:54022)
- [12]
- M. Kisielewicz, Differential inclusions and optimal control, PWN, Warsaw, 1991. MR 1135796 (93c:49001)
Additional Information:
Reviewer(s):
Arrigo
Cellina
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
275-278.
DOI:
10.1090/S0273-0979-1995-00575-6
PII:
S 0273-0979(1995)00575-6
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