On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients
In this paper we propose a method for constructing the asymptotics for a set of linear independent solutions of systems of differential equations with oscillatory decreasing coefficients. We illustrate this method by constructing the asymptotics for solutions of a system of two oscillators with slow...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-09-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1061 |
| _version_ | 1797877958834126848 |
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| author | P. N. Nesterov |
| author_facet | P. N. Nesterov |
| author_sort | P. N. Nesterov |
| collection | DOAJ |
| description | In this paper we propose a method for constructing the asymptotics for a set of linear independent solutions of systems of differential equations with oscillatory decreasing coefficients. We illustrate this method by constructing the asymptotics for solutions of a system of two oscillators with slowly decreasing coupling and friction in one of the oscillators. |
| first_indexed | 2024-04-10T02:25:03Z |
| format | Article |
| id | doaj.art-87e4498d1fed42dba17bdd709009a597 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:25:03Z |
| publishDate | 2011-09-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-87e4498d1fed42dba17bdd709009a5972023-03-13T08:07:31ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-09-011832141802On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing CoefficientsP. N. Nesterov0Ярославский государственный университет им. П.Г. ДемидоваIn this paper we propose a method for constructing the asymptotics for a set of linear independent solutions of systems of differential equations with oscillatory decreasing coefficients. We illustrate this method by constructing the asymptotics for solutions of a system of two oscillators with slowly decreasing coupling and friction in one of the oscillators.https://www.mais-journal.ru/jour/article/view/1061колебательно убывающие коэффициентыкритические решенияметод усредненияасимптотикасвязанные осцилляторы |
| spellingShingle | P. N. Nesterov On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients Моделирование и анализ информационных систем колебательно убывающие коэффициенты критические решения метод усреднения асимптотика связанные осцилляторы |
| title | On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients |
| title_full | On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients |
| title_fullStr | On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients |
| title_full_unstemmed | On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients |
| title_short | On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients |
| title_sort | on asymptotics for critical solutions of systems of differential equations with oscillatory decreasing coefficients |
| topic | колебательно убывающие коэффициенты критические решения метод усреднения асимптотика связанные осцилляторы |
| url | https://www.mais-journal.ru/jour/article/view/1061 |
| work_keys_str_mv | AT pnnesterov onasymptoticsforcriticalsolutionsofsystemsofdifferentialequationswithoscillatorydecreasingcoefficients |