Volterra integral inclusions via Henstock-Kurzweil-Pettis integral

Satco, Bianca

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 26 (2006) no. 1, pp. 87-101.

Résumé

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.

Détail

Keywords: Volterra integral inclusion, Henstock-Kurzweil integral, Henstock-Kurzweil-Pettis integral, set-valued integral

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