THE ANALOGUE OF THE FLOQUET-LYAPUNOV THEOREM FOR THE LINEAR DIFFERENTIAL SYSTEMS OF THE SPECIAL KIND
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 1
Abstract
The analogue of the well known in the theory of the linear differential systems Floquet's--Lyapunov's theorem are constructed by the certain condidtions for the linear differential system, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency.
Authors and Affiliations
S. A. Shchogolev
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About the characteristic polynomial of product Frobenius’ matrix
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On a one class of the solutions of the nonlinear first-order differential equation with oscillating coefficients
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A nonlinear system of the differential equations is considered. This system is a linear extension of the nonlinear differential equation on a circle. The coefficients of the system belong to the class F, which are the fu...