Abstract
Coefficient conditions for the existence of periodic solutions of degenerate systems of differential equations are obtained. Iterative algorithms for finding these solutions are developed.
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A. M. Samoilenko, K. Kenzhebaev, and V. N. Laptinskii, “Some iterative methods for construction of periodic solutions for nonautonomous systems of differential equations,”Ukr. Mat. Th.,36, No. 3, 345–352 (1984).
A. M. Samoilenko, K. Kenzhebaev, and V. N. Laptinskii,Investigation of Periodic Boundary-Value Problems for Nonlinear Systems of Differential Equations [in Russian], Preprint No. 90.49, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1990).
A. M. Samoilenko, K. Kenzhebaev, and V. N. Laptinskii, “A method for construction of solutions of multipoint boundary-value problems,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 9, 10–13 (1983).
A. M. Samoilenko and V. N. Laptinskii, “Estimates of periodic solutions of differential equations,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 1, 30–32 (1983).
L. V. Kantorovich and G. P. Akilov,Functional Analysis in Normed Spaces [in Russian], Nauka, Moscow (1977).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 468–476, April, 1995.
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Kenzhebaev, K. A constructive method for finding periodic solutions of differential systems. Ukr Math J 47, 543–554 (1995). https://doi.org/10.1007/BF01056040
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DOI: https://doi.org/10.1007/BF01056040