Asymptotic behavior of the solutions of second-order differential equations with rapidly varying nonlinearities
We establish conditions for the existence of one class of solutions of two-term nonautonomous differential equations of the second-order with rapidly varying nonlinearities and the asymptotic representations for these solutions and their first-order derivatives as и $t \uparrow \omega (\omega \le...
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| Datum: | 2017 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1786 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We establish conditions for the existence of one class of solutions of two-term nonautonomous differential equations of the
second-order with rapidly varying nonlinearities and the asymptotic representations for these solutions and their first-order
derivatives as и $t \uparrow \omega (\omega \leq +\infty )$. |
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