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Chapter

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Title

Some applications of nonabsolute integrals in the theory of differential inclusions in Banach spaces

Authors

[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee

Year of publication

2010

Chapter type

chapter in monograph / paper

Publication language

english

Keywords
EN
  • Aumann integrals
  • Pettis integrals
  • Henstock-Kurzweil-Pettis integrals
  • selections
  • differential inclusions
  • nonlocal Cauchy problems
Abstract

EN In this paper we present a brief historical review about multivalued integrals and its relations with differential inclusions. Then a new theorem about existence of solutions (in some weak sense) for differential inclusions in Banach spaces is proved (by using some properties of nonabsolute integrals).

Pages (from - to)

115 - 124

DOI

10.1007/978-3-0346-0211-2_11

URL

https://link.springer.com/chapter/10.1007/978-3-0346-0211-2_11

Book

Vector Measures, Integration and Related Topics

Presented on

3rd Meeting on Vector Measures, Integration and Applications, 24-27.09.2008, Eichstätt, Germany

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