Abstract
For an almost triangular system of difference equations, the problem of existence of particular solutions in the form of Fourier series with slowly varying coefficients and frequency is studied.
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Yu. A. Mitropol'skii, A. M. Samoilenko, and D. I. Martynyuk,Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients [in Russian], Naukova Dumka, Kiev (1984);English translation: Kluwer, Dordrecht (1993).
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A. V. Kostin and S. A. Shchegolev, “On a class of solutions of a quasilinear differential system with slowly varying coefficients,”Ukr. Mat. Zh.,41, No. 1, 101–103 (1989).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 525–530, April, 1995.
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Shchegolev, S.A. On solutions of a quasilinear almost triangular system of difference equations. Ukr Math J 47, 609–616 (1995). https://doi.org/10.1007/BF01056047
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DOI: https://doi.org/10.1007/BF01056047