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Some properties of the solutions of a linear set-valued differential equation in the space \(\operatorname{conv}(\mathbb{R}^2)\) - MaRDI portal

Some properties of the solutions of a linear set-valued differential equation in the space \(\operatorname{conv}(\mathbb{R}^2)\) (Q6564105)

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scientific article; zbMATH DE number 7873243
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English
Some properties of the solutions of a linear set-valued differential equation in the space \(\operatorname{conv}(\mathbb{R}^2)\)
scientific article; zbMATH DE number 7873243

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    Some properties of the solutions of a linear set-valued differential equation in the space \(\operatorname{conv}(\mathbb{R}^2)\) (English)
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    28 June 2024
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    From the authors' abstract: The authors consider a linear multi-valued differential equation with a generalized Hukuhara derivative with a variable matrix of the second order. Conditions for the existence of solutions are established and analytical expressions are given for the forms of sections of the solution set at each moment of time for a system of equations satisfying the Lappo-Danilevsky condition. The general method of analysis is illustrated by four model examples.
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    linear set-valued differential equation
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    variable matrix second order
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    Lappo-Danilevskii condition
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