On the asymptotic of solutions of second-order differential equations with rapidly varying nonlinearities
We establish the conditions of existence for one class of monotone solutions of two-term nonautonomous differential equations of the second order with rapidly varying nonlinearities and the asymptotic representations of these solutions and their first-order derivatives as $t \uparrow \omega (\omeg...
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| Дата: | 2019 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2019
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1420 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We establish the conditions of existence for one class of monotone solutions of two-term nonautonomous differential
equations of the second order with rapidly varying nonlinearities and the asymptotic representations of these solutions and
their first-order derivatives as $t \uparrow \omega (\omega \leq +\infty )$. |
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