Conditions for the Existence of Basic Solutions of Linear Multivalued Differential Equations

We discuss various definitions and properties of the derivatives of set-valued mappings. We also 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...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2021-10, Vol.73 (5), p.758-783
Main Authors: Komleva, T. A., Plotnikov, A.V., Plotnikova, L. I., Skripnik, N. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Differential equations
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Summary:We discuss various definitions and properties of the derivatives of set-valued mappings. We also 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 by model examples.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-021-01958-3