Qualitative analysis of solutions of nonlinear differential equations with the Hukuhara derivative in the space \(\mathrm{conv}(\mathbb{R}^2)\) (Q897031)
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scientific article; zbMATH DE number 6521401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Qualitative analysis of solutions of nonlinear differential equations with the Hukuhara derivative in the space \(\mathrm{conv}(\mathbb{R}^2)\) |
scientific article; zbMATH DE number 6521401 |
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Qualitative analysis of solutions of nonlinear differential equations with the Hukuhara derivative in the space \(\mathrm{conv}(\mathbb{R}^2)\) (English)
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16 December 2015
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The authors suggest a new approach to the qualitative analysis of dynamic properties of solutions of set-valued differential equations with the Hukuhara derivative in the space \(\mathrm{conv}(\mathbb{R}^2)\) using by geometric properties of convex bodies, the comparison method, and the Chaplygin-Ważewski method for approximate integration of ordinary differential equations. Estimates for the area of solutions for a class of nonlinear set-valued differential equations with the Hukuhara derivative are obtained.
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Hukuhara derivateve
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Chaplygin-Ważewski method
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set-valued differential equation
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