Email this article On differential equations in Banach algebras
- Authors: Perov A.I.1, Kostrub I.D.1
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Affiliations:
- Voronezh State University
- Issue: Vol 25, No 132 (2020)
- Pages: 410-421
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/294978
- DOI: https://doi.org/10.20310/2686-9667-2020-25-132-410-421
- ID: 294978
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Abstract
We consider higher-order linear differential equations with constant coefficients in Banach algebras (this is a direct generalization of higher-order matrix differential equations). The presentation is based on higher algebra, differential equations and functional analysis. The results obtained can be used in the study of matrix equations, in the theory of small oscillations in physics, and in the theory of perturbations in quantum mechanics. The presentation is based on the original research of the authors.
About the authors
Anatoly I. Perov
Voronezh State University
Email: anperov@mail.ru
Doctor of Physics and Mathematics, Professor of the System Analysis and Management Department 1 University Sq., Voronezh 394018, Russian Federation
Irina D. Kostrub
Voronezh State University
Email: ikostrub@yandex.ru
Candidate of Physics and Mathematics, Associate Professor of the System Analysis and Management Department 1 University Sq., Voronezh 394018, Russian Federation
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