On the oscillations in the quasi-linear second order differential systems with slowly-varying parameters
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 2
Abstract
For the quasi-linear second order differential system with pure imaginary eigenvalues of the matrix of the linear part, the conditions of the existence of the particular solution, representable as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency, are obtained at the asymptotic long interval of the independent variable.
Authors and Affiliations
S. A. Shchogolev
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On the 80th anniversary of Victor Plotnikov
К 80-ЛЕТИЮ СО ДНЯ РОЖДЕНИЯ ВИКТОРА АЛЕКСАНДРОВИЧА ПЛОТНИКОВА 5 января 1938 г. — 4 сентября 2006 г.