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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 86–96
(Mi ivm9241)
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Periodic solutions to nonlinear nonautonomous system of differential equations
M. T. Teryokhin, O. V. Baeva Ryazan State University S. A. Esenin, 46 Svobody str., Ryazan, 390000 Russia
Abstract:
We prove a theorem on the existence of nonzero periodic solution to a system of differential eguations by the method of fixed point of nonlinear operator defined on a topological product of two compact sets.
Keywords:
nonlinear ordinary differential equations dependent from small parameters, nonzero periodical solutions, principle of contracted mappings and Bohl–Brower theorem about fixed point.
Received: 11.12.2015
Citation:
M. T. Teryokhin, O. V. Baeva, “Periodic solutions to nonlinear nonautonomous system of differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 86–96; Russian Math. (Iz. VUZ), 61:5 (2017), 73–82
Linking options:
https://www.mathnet.ru/eng/ivm9241 https://www.mathnet.ru/eng/ivm/y2017/i5/p86
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Statistics & downloads: |
Abstract page: | 175 | Full-text PDF : | 58 | References: | 29 | First page: | 8 |
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