Conditions for the existence of basic solutions of linear multivalued differential equations

• T. A. Komleva Odessa State Academy of Civil Engineering and Architecture
• A. B. Plotnikov Odessa State Academy of Civil Engineering and Architecture
• L. I. Plotnikova Odessa National Polytechnic University
• N. V. Skripnik Odessa I.I. Mechnikov National University
Keywords: set-valued differential equation, Hukuhara derivative, conditions of existence

Abstract

UDC 517.9

In this paper, we discusses various definitions and properties of the derivative of a set-valued mapping.
Also, we consider a linear set-valued differential equation and investigate the problem of existence of solutions of this equation with Hukuhara derivative, PS-derivative and BG-derivative.
The obtained results are illustrated with model examples.

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Published
24.05.2021
How to Cite
Komleva, T. A., A. B. Plotnikov, L. I. Plotnikova, and N. V. Skripnik. “Conditions for the Existence of Basic Solutions of Linear Multivalued Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 5, May 2021, pp. 651 -73, doi:10.37863/umzh.v73i5.6356.
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Research articles