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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
On multiperiodic solutions of perturbed nonlinear autonomous systems with the differentiation operator on a vector field
B. Zh. Omarova, Zh. A. Sartabanov Department of Mathematics,
K. Zhubanov Aktobe Regional State University,
34 A. Moldagulova St,
030000 Aktobe, Kazakhstan
Аннотация:
A quasilinear system with the differentiation operator with respect to the directions
of vector fields specified by Lyapunov’s system with respect to space independent variables and
a multiperiodic system with respect to time variables is considered. We study the problem of the
existence and uniqueness of a multiperiodic solution of a quasilinear system and we use methods of the
theory of multiperiodic solutions of linear systems. The research partially reflects the multiperiodic
structure of a solution of the initial problem for quasilinear systems. Conditions for the existence
and uniqueness of a multiperiodic solution, an existence theorem of a solution of the initial problem,
and the problem of multiperiodic solutions are given. They are proved by the method of contraction
mappings defined on spaces of smooth functions.
Ключевые слова и фразы:
multiperiodic solutions, autonomous system, differentiation operator, Lyapunov's vector field, perturbation.
Поступила в редакцию: 14.10.2019
Образец цитирования:
B. Zh. Omarova, Zh. A. Sartabanov, “On multiperiodic solutions of perturbed nonlinear autonomous systems with the differentiation operator on a vector field”, Eurasian Math. J., 12:1 (2021), 68–81
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj393 https://www.mathnet.ru/rus/emj/v12/i1/p68
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Страница аннотации: | 116 | PDF полного текста: | 38 | Список литературы: | 15 |
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