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Vector Measures, Integration and Related Topics pp 115–124Cite as

Some Applications of Nonabsolute Integrals in the Theory of Differential Inclusions in Banach Spaces

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 201))

Abstract

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).

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Faculty of Electrical Engineering, Poznan University of Technology, Piotrowo 3a, 60-965, Poznań, Poland

    Kinga Cichoń

  2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614, Poznań, Poland

    Mieczysław Cichoń

Authors
  1. Kinga Cichoń
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  2. Mieczysław Cichoń
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Editor information

Editors and Affiliations

  1. Facultad de Matemáticas, Universidad de Sevilla, 41080, Sevilla, Spain

    Guillermo P. Curbera

  2. Fachbereich 6: Mathematik, Universität Siegen, 57068, Siegen, Germany

    Gerd Mockenhaupt

  3. Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, 85072, Eichstätt, Germany

    Werner J. Ricker

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Cichoń, K., Cichoń, M. (2009). Some Applications of Nonabsolute Integrals in the Theory of Differential Inclusions in Banach Spaces. In: Curbera, G.P., Mockenhaupt, G., Ricker, W.J. (eds) Vector Measures, Integration and Related Topics. Operator Theory: Advances and Applications, vol 201. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0211-2_11

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