About the Construction of Periodical Solutions of One Class of Non-Autonomous Systems of Differential Equations in a Distributed Computing Environment
The paper proposes the technique for the construction of approximations to the periodical solutions of one class of non-autonomous systems of common differential equations. It is based on the scheme of successive approximations with the use of symbolic calculations in a distributed computing environment to obtain the solution in an analytic form. The fitting of the scheme of successive approximations in the period is shown and also the example of the second grade system with the described calculation scheme is considered. The results of computational experiment are presented.