Email this article Conditions for the Hyperbolicity of a Linear Third-Order Differential Equation in a One-Dimensional Space
- Authors: Korzyuk V.I.1,2, Mandrik A.A.1,2
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Affiliations:
- Institute of Mathematics
- Belarus Belarusian State University
- Issue: Vol 53, No 12 (2017)
- Pages: 1667-1670
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154654
- DOI: https://doi.org/10.1134/S0012266117120138
- ID: 154654
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Abstract
We study the general linear third-order differential equation with constant real coefficients in the case of two independent variables. Necessary and sufficient coefficient conditions for the hyperbolicity and strict hyperbolicity of the equation, as well as for the representability of the differential operator occurring in the equation in the form of a composition of first-order operators, are obtained.
About the authors
V. I. Korzyuk
Institute of Mathematics; Belarus Belarusian State University
Author for correspondence.
Email: korzyuk@bsu.by
Belarus, Minsk, 220072; Minsk, 220030
A. A. Mandrik
Institute of Mathematics; Belarus Belarusian State University
Email: korzyuk@bsu.by
Belarus, Minsk, 220072; Minsk, 220030
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