On some evolution inclusions in non separable Banach spaces

Authors

  • Aurelian CERNEA University of Bucharest, Faculty of Mathematics and Computer Sciences 14, Academiei Street, 010014 Bucharest, Academy of Romanian Scientists, Splaiul Independentei 54, 050094 Bucharest, Romania e-mail: acernea@fmi.unibuc.ro

DOI:

https://doi.org/10.24193/subbmath.2021.1.02

Keywords:

Lusin measurable multifunctions, selection, mild solution.

Abstract

We study a Cauchy problem of a class of nonconvex second-order integro-differential inclusions and a boundary value problem associated to a semi-linear evolution inclusion defined by nonlocal conditions in non-separable Banach spaces. The existence of mild solutions is established under Filippov type assumptions.

Mathematics Subject Classification (2010): 34A60.

References

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Published

2021-03-30

How to Cite

CERNEA, A. (2021). On some evolution inclusions in non separable Banach spaces. Studia Universitatis Babeș-Bolyai Mathematica, 66(1), 17–27. https://doi.org/10.24193/subbmath.2021.1.02

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