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.