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Title: | Reflecting function and periodic solutions of differential systems with small parameter |
Authors: | Musafirov, E.V. |
Issue Date: | 2008 |
Citation: | Musafirov, E.V. Reflecting function and periodic solutions of differential systems with small parameter / E.V. Musafirov // Indian Journal of Mathematics. - 2008. - Vol. 50 (1). - P. 63-76. |
Abstract: | The aim of this paper is to combine the method of reflective function and the perturbation method. The set of a linear differential systems, the reflecting matrix for which is represented by a product of three exponential matrixes is allocated. It has allowed to obtain the sufficient conditions of existence of a family of periodic solutions close to a given solution of multidimensional nonlinear differential systems. Obtained results are illustrated by examples. |
Appears in Collections: | Публикации сотрудников / Publications of the teaching stuff of Polessky State University |
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Reflecting_function.pdf | 310.66 kB | Adobe PDF | View/Open |
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