2019
Том 71
№ 10

All Issues

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

Kostin A. V., Shchegolev S. A.

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Abstract

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 characteristic equation for the matrix of coefficients of the linear part.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 5, pp 741-753.

Citation Example: Kostin A. V., Shchegolev S. A. On solutions of a second-order quasilinear differential system representable by Fourier series with slowly varying parameters // Ukr. Mat. Zh. - 1998. - 50, № 5. - pp. 654–664.

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