On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters

• Date: 1998
• Main Authors: Kostin, A. V., Shchegolev, S. A., Костин, А. В., Щеголев, С. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4903
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a second-order quasilinear differential system whose coefficients have the form of Fourier series with slowly varying coefficients and frequency, we prove that, under certain conditions, there exists a particular solution with a similar structure in the case of purely imaginary roots of the char...