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has been cited by the following article:
TITLE: Construction of Periodic Solutions of One Class Nonautonomous Systems of Differential Equations
AUTHORS: Alexander N. Pchelintsev
KEYWORDS: Periodic Solution; System of Ordinary Differential Equations; Scheme of Successive Approximations; Symbolic Calculations
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.3, August 23, 2013
ABSTRACT: In this article we proposed a method for constructing approximations to periodic solutions of one class nonautonomous system of ordinary differential equations. It is based on successive approximation scheme using parallel symbolic calculations to obtain solutions in analytical form. We showed the convergence of the scheme of successive approximations on the period, and also considered an example of a second order system where the described scheme of calculations can be applied.