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Construction of Periodic Solutions of One Class Nonautonomous Systems of Differential Equations

Construction of Periodic Solutions of One Class Nonautonomous Systems of Differential Equations
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摘要 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. 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.
出处 《Journal of Applied Mathematics and Physics》 2013年第3期1-4,共4页 应用数学与应用物理(英文)
关键词 Periodic Solution System of Ordinary Differential EQUATIONS Scheme of Successive APPROXIMATIONS SYMBOLIC CALCULATIONS Periodic Solution System of Ordinary Differential Equations Scheme of Successive Approximations Symbolic Calculations
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