On constructing the generally periodical solutions of a complicated structure of a non-autonomous system of differential equations
A.N. Pchelintsev
Keywords: generally-periodical solution, system of ordinary differential equations, Fourier series, almost periodical solution, irrational winding of torus
Abstract
In this paper, a numerical scheme of constructing approximate generally periodical solutions of a complicatedtructure of a non-autonomous system of ordinary differential equations with the periodical right-hand sides on the surface of a torus is considered. The existence of such solutions as well as convergence of the method of successive approximations are shown. There are given results of the computational experiment.
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