On the Reduction of the Linear System of the Differential Equations with coefficients of oscillating type to the Triangular Kind in the Non-resonant Case


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Authors

  • S.A. Shchogolev Odessa I.I. Mechnikov National University

Keywords:

linear differential systems, Fourier series

Abstract

For the linear homogeneous differential system, whose coefficients are represented
as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and
frequency, the conditions of the existence of the transformation which leads it to triangular
kind, are obtained in the non-resonant cases.

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Published

2020-03-30

How to Cite

S.A. Shchogolev. (2020). On the Reduction of the Linear System of the Differential Equations with coefficients of oscillating type to the Triangular Kind in the Non-resonant Case. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 130(1), 82–92. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/67

Issue

Vol. 130 No. 1 (2020)

Section

Статьи