Differential inclusions and exact penalties

The article considers differential inclusion with a given set-valued mapping and initial point. It is required to find a solution of this differential inclusion that minimizes an integral functional. Some classical results about the maximum principle for differential inclusions are obtained using...

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Bibliographic Details
Published in:Electronic Journal of Differential Equations
Main Authors: Alexander V. Fominyh, Vladimir V. Karelin, Lyudmila N. Polyakova
Format: Article
Language:English
Published: Texas State University 2015-12-01
Subjects:
Nonsmooth functional
differential inclusion
support function
exact penalty function
maximum principle
Online Access:http://ejde.math.txstate.edu/Volumes/2015/309/abstr.html
Description
Summary:The article considers differential inclusion with a given set-valued mapping and initial point. It is required to find a solution of this differential inclusion that minimizes an integral functional. Some classical results about the maximum principle for differential inclusions are obtained using the support and exact penalty functions. This is done for differentiable and for non-differentiable set-valued mappings in phase variables.
ISSN:1072-6691

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