|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
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 \textbf{19} (1975), 386--398.
- [2]
- J. P. Aubin, Viability theory, Birkh\"auser, Basel and Boston, MA, 1992.
- [3]
- J. P. Aubin and A. Cellina, Differential inclusions, Springer, New York, 1984.
- [4]
- A. Bressan, Directionally continuous selections and differential inclusions, Funkcial. Ekvac. \textbf{31} (1988), 459--470.
- [5]
- A. Cellina, Multivalued differential equations and ordinary differential equations, SIAM J. Appl. Math. \textbf{18} (1970), 553--558.
- [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. \textbf{25} (1982), 153--162.
- [7]
- F. De Blasi and G. Pianigiani, The Baire category method in existence problems for a class of multivalued differential equations with nonconvex right hand side, Funkcial. Ekvac. \textbf{28} (1985), 139--156.
- [8]
- A. F. Filippov, On certain questions in the theory of optimal control, SIAM J. Control Optim. \textbf{1} (1962), 76--84.
- [9]
- A. F. Filippov, On the existence of solutions of multivalued differential equations, Mat. Zametki \textbf{10} (1971), 307--313.
- [10]
- A. F. Filippov, Differential equations with discontinuous right-hand sides, Kluwer, Dordrecht, 1988.
- [11]
- A. Fryskowski, Continuous selections for a class of nonconvex multivalued maps, Studia Math. \textbf{76} (1983), 163--174.
- [12]
- M. Kisielewicz, Differential inclusions and optimal control, PWN, Warsaw, 1991.
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
|
Comments: webmaster@ams.org