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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): 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:

Bibliography

[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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