Abstract
The main result in this paper is an existence theorem for constraint differential inclusions whose right-hand side satisfies some Carathéodory semicontinuity assumptions of mixed type. It generalises all known theorems in the field in the finite-dimensional case. As preliminary results needed in the proof we obtain some interrelations between measurability and \(\varepsilon \)-semicontinuity of single- and set-valued mappings.
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Acknowledgements
The author would like to thank Professor Nadezhda Ribarska for her valuable help, comments and suggestions.
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This work was partially supported by the Bulgarian National Scientific Fund under Grant DFNI-I02/10 and by the Sofia University “St. Kliment Ohridski” under contract No. 58/06.04.2016.
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Bivas, M. A nonautonomous Olech type result. European Journal of Mathematics 3, 342–362 (2017). https://doi.org/10.1007/s40879-017-0142-8
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DOI: https://doi.org/10.1007/s40879-017-0142-8