Email this article A Generalized Fourier Method for the System of First-Order Differential Equations with an Involution and a Group of Operators
- Authors: Baskakov A.G.1,2, Uskova N.B.3
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Affiliations:
- Voronezh State University
- Khetagurov North-Ossetia State University
- Voronezh State Technical University
- Issue: Vol 54, No 2 (2018)
- Pages: 277-281
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154699
- DOI: https://doi.org/10.1134/S0012266118020131
- ID: 154699
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Abstract
A mixed problem is considered for a differential equation with an involution and matrix potential. The method of similar operators is used to transform the differential operator defined by this equation into the orthogonal direct sum of finite-rank operators. A theorem is established, based on which an operator group is constructed to describe mild solutions of the problem at hand.
About the authors
A. G. Baskakov
Voronezh State University; Khetagurov North-Ossetia State University
Author for correspondence.
Email: anatbaskakov@yandex.ru
Russian Federation, Voronezh, 394018; Vladikavkaz, North Ossetia, 362025
N. B. Uskova
Voronezh State Technical University
Email: anatbaskakov@yandex.ru
Russian Federation, Voronezh, 394006
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