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

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Odessa State Academy of Building and Architecture, Odessa, Ukraine

    T. A. Komleva & A.V. Plotnikov

  2. Odessa National Polytechnic University, Odessa, Ukraine

    L. I. Plotnikova

  3. I. Mechnikov Odessa National University, Odessa, Ukraine

    N. V. Skripnik

Authors
  1. T. A. Komleva
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  2. A.V. Plotnikov
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  3. L. I. Plotnikova
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  4. N. V. Skripnik
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Corresponding author

Correspondence to A.V. Plotnikov.

Additional information

L. I. Plotnikova is deceased.

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 5, pp. 651–673, May, 2021. Ukrainian DOI: 10.37863/umzh.v73i5.6356.

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Komleva, T.A., Plotnikov, A., Plotnikova, L.I. et al. Conditions for the Existence of Basic Solutions of Linear Multivalued Differential Equations. Ukr Math J 73, 758–783 (2021). https://doi.org/10.1007/s11253-021-01958-3

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  • DOI: https://doi.org/10.1007/s11253-021-01958-3

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