Умови iснування базових розв’язкiв лiнiйних множиннозначних диференцiальних рiвнянь

T. A. Komleva; A. B. Plotnikov; L. I. Plotnikova; N. V. Skripnik

doi:10.37863/umzh.v73i5.6356

T. A. Komleva Odessa State Academy of Civil Engineering and Architecture
A. B. Plotnikov Odessa State Academy of Civil Engineering and Architecture https://orcid.org/0000-0002-7864-0732
L. I. Plotnikova Odessa National Polytechnic University
N. V. Skripnik Odessa I.I. Mechnikov National University

DOI: https://doi.org/10.37863/umzh.v73i5.6356

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

Abstract

References