Geodesic
On constructing the generally periodical solutions of a~complicated structure of a~non-autonomous system of differential equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 1, pp. 63-70

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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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     author = {A. N. Pchelintsev},
     title = {On constructing the generally periodical solutions of a~complicated structure of a~non-autonomous system of differential equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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A. N. Pchelintsev. On constructing the generally periodical solutions of a~complicated structure of a~non-autonomous system of differential equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 1, pp. 63-70. http://geodesic.mathdoc.fr/item/SJVM_2013_16_1_a6/