Some remarks on linear set-valued differential equations

Authors

  • Tatyana A. KOMLEVA Department of Mathematics, Odessa State Academy Civil Engineering and Architecture, 4, Didrihsona Street, 65029 Odessa, Ukraine, e-mail: t-komleva@ukr.net https://orcid.org/0000-0001-5970-6241
  • Liliya I. PLOTNIKOVA Department of Mathematics and Modeling Systems, Odessa National Polytechnic University, 1, Shevchenko Avenue, 65044 Odessa, Ukraine, e-mail: liplotnikova@ukr.net https://orcid.org/0000-0002-5940-9164
  • Natalia V. SKRIPNIK Department of Optimal Control and Economic Cybernetics, Odessa National University after named I.I. Mechnikov, 2, Dvoryanskaya Street, 65082 Odessa, Ukraine, e-mail: natalia.skripnik@gmail.com https://orcid.org/0000-0002-3333-7553
  • Andrej V. PLOTNIKOV Department of Information Technology and Applied Mathematics, Odessa State Academy Civil Engineering and Architecture, 4, Didrihsona Street, 65029 Odessa, Ukraine, e-mail: a-plotnikov@ukr.net https://orcid.org/0000-0002-7864-0732

DOI:

https://doi.org/10.24193/subbmath.2020.3.09

Keywords:

Linear differential equation, set-valued mapping, Hukuhara difference, derivative.

Abstract

The article discusses various definitions of the derivative of a set-valued mapping and their properties. Also, a linear set-valued differential equation is considered and the existence of solutions for this equation with Hukuhara derivative, Plotnikov-Skripnik derivative and Bede-Gal derivative is investigated.

Mathematics Subject Classification (2010): 34A60, 34A07, 49J53, 54C60.

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STUDIA UBB MATHEMATICA, Volume 65 (LXV), No. 3, September 2020

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Published

2020-09-15

How to Cite

KOMLEVA , T. A., PLOTNIKOVA, L. I., SKRIPNIK, N. V., & PLOTNIKOV, A. V. (2020). Some remarks on linear set-valued differential equations. Studia Universitatis Babeș-Bolyai Mathematica, 65(3), 411–427. https://doi.org/10.24193/subbmath.2020.3.09

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Volume 65, No. 3, September 2020

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