Applications of Stieltjes Derivatives to Periodic Boundary Value Inclusions

Bianca Satco and George Smyrlis
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Bianca Satco: Faculty of Electrical Engineering and Computer Science, Development and Innovation in Advanced Materials, Nanotechnologies, and Distributed Systems for Fabrication and Control (MANSiD), Integrated Center for Research, Stefan cel Mare University of Suceava, Universitatii 13, 720225 Suceava, Romania
George Smyrlis: Department of Mathematics, School of Applied Mathematics and Physics, National Technical University of Athens, Zografou Campus, 157 80 Athens, Greece

Mathematics, 2020, vol. 8, issue 12, 1-23

Abstract: In the present paper, we are interested in studying first-order Stieltjes differential inclusions with periodic boundary conditions. Relying on recent results obtained by the authors in the single-valued case, the existence of regulated solutions is obtained via the multivalued Bohnenblust–Karlin fixed-point theorem and a result concerning the dependence on the data of the solution set is provided.

Keywords: periodic boundary value inclusion; Stieltjes derivative; Stieltjes integrals; Bohnenblust–Karlin fixed-point theorem; regulated function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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