Differential Inclusions, Control and Optimization 21 (2001) 81-95
doi: 10.7151/dmdico.1018

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ON DERIVO-PERIODIC MULTIFUNCTIONS

Libor Jüttner

Department of Mathematics Analysis
Faculty of Science, Palacký University
Tomkova 40, 779 00 Olomouc-Hejcín, Czech Republic

e-mail: juttnerl@alpha.inf.upol.cz

Abstract

The problem of linearity of a multivalued derivative and consequently the problem of necessary and sufficient conditions for derivo-periodic multifunctions are investigated. The notion of a derivative of multivalued functions is understood in various ways. Advantages and disadvantages of these approaches are discussed.

Keywords and phrases: differential of multivalued functions, multivalued differential, contingent derivative, linearity of contingent derivative, periodic multivalued functions, derivo-periodic multivalued functions.

2000 Mathematics Subject Classification: 26E25, 58F25.

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Received 9 June 2000