Comparison Principle Based on Minkowski Mixed Volumes for a Family of Differential Equations
- Authors: Martynyuk A.A.1
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Affiliations:
- S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine
- Issue: Vol 53, No 12 (2017)
- Pages: 1549-1556
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154639
- DOI: https://doi.org/10.1134/S0012266117120035
- ID: 154639
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Abstract
A comparison principle based on Minkowski mixed volumes is established for a family of differential equations with imprecise parameter values. Scalar and vector approaches are considered, and the basic inequalities of the comparison principle are established.
About the authors
A. A. Martynyuk
S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine
Author for correspondence.
Email: amartynyuk@voliacable.com
Ukraine, Kiev, 252680
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