Vol. 66, No. 1, 1976

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
On the differentiability of multifunctions

F. S. De Blasi

Vol. 66 (1976), No. 1, 67–81
Abstract

A new concept of differential for a multifunction is introduced. Here by a multifunction we mean a map from a Banach space X to some specified family of non void subsets of a Banach space Y . The comparison with another definition due to Lasota and Strauss shows that if a multifunction admits both differentials, these must be equal. The results are applicable to the perturbation theory for multivalued differential equations in a Banach space

˙x ∈ F (x)

in a neighborhood of a rest position.

Mathematical Subject Classification 2000
Primary: 58C20
Secondary: 46G05, 34G05
Milestones
Received: 17 July 1975
Revised: 12 February 1976
Published: 1 September 1976
Authors
F. S. De Blasi