The block diagonalization of the linear homogeneous differential system with coefficients of oscillating type in resonance case

Abstract

For the linear homogeneous system of the differential equations, coefficients of which are represented by 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 block-diagonal form in a resonance case are obtained.

Authors and Affiliations

S. A. Shchogolev

Keywords

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  • EP ID EP191230
  • DOI -
  • Views 68
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How To Cite

S. A. Shchogolev (2016). The block diagonalization of the linear homogeneous differential system with coefficients of oscillating type in resonance case. Дослідження в математиці і механіці, 21(2), 63-75. https://europub.co.uk/articles/-A-191230