Guiding potential method for differential inclusions with nonlocal conditions

This article shows the existence of solutions to some nonlocal initial-value problems for differential inclusions. The guiding potential method is used and the topological degree theory for admissible multivalued vector fields is applied. Some conclusions concerning compactness of the solution s...

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Bibliographic Details
Main Author: Radoslaw Pietkun
Format: Article
Language:English
Published: Texas State University 2015-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/35/abstr.html
Description
Summary:This article shows the existence of solutions to some nonlocal initial-value problems for differential inclusions. The guiding potential method is used and the topological degree theory for admissible multivalued vector fields is applied. Some conclusions concerning compactness of the solution set are drawn.
ISSN:1072-6691