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ArticleOriginal scientific text

Title

Volterra integral inclusions via Henstock-Kurzweil-Pettis integral

Authors 1

Affiliations

  1. Université de Bretagne Occidentale, UFR Sciences et Techniques, Laboratoire de Mathématiques CNRS-UMR 6205, 6 Avenue Victor Le Gorgeu, CS 93837, 29283 Brest Cedex 3, France

Abstract

In this paper, we prove the existence of continuous solutions of a Volterra integral inclusion involving the Henstock-Kurzweil-Pettis integral. Since this kind of integral is more general than the Bochner, Pettis and Henstock integrals, our result extends many of the results previously obtained in the single-valued setting or in the set-valued case.

Keywords

ENG
Volterra integral inclusion, Henstock-Kurzweil integral, Henstock-Kurzweil-Pettis integral, set-valued integral

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2006/26/1
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Pages:
87-101
Main language of publication
English
Received
2005-04-10
Published
2006

DOI: 10.7151/dmdico.1066

Exact and natural sciences