ON A REDUCTION OF A LINEAR HOMOGENEOUS DIFFERENTIAL SYSTEM WITH OSCILLATING COEFFICIENTS TO A SYSTEM WITH SLOWLY-VARYING COEFFICIENTS
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 1
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, conditions of existence of the linear transformation with coefficients of similar structure, this system leads to a system with slowly-varying coefficients in a noresonance case in asymptotical large interval of independent variable, are obtained.
Authors and Affiliations
S. A. Shchogolev
Keywords
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