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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1066,
author = {Bianca Satco},
title = {Volterra integral inclusions via Henstock-Kurzweil-Pettis integral},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {26},
year = {2006},
pages = {87-101},
zbl = {1131.45001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1066}
}
Bianca Satco. Volterra integral inclusions via Henstock-Kurzweil-Pettis integral. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 26 (2006) pp. 87-101. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1066/
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