On solutions of nonlinear boundary-value problems the components of which vanish at certain points
We show how an appropriate parametrization technique and successive approximations can help to investigate nonlinear boundary-value problems for systems of differential equations under the condition that the components of solutions vanish at some unknown points. The technique can be applied to nonli...
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| Дата: | 2018 |
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| Автори: | , , , , , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2018
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1544 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We show how an appropriate parametrization technique and successive approximations can help to investigate nonlinear
boundary-value problems for systems of differential equations under the condition that the components of solutions vanish
at some unknown points. The technique can be applied to nonlinearities involving the signs of absolute value and positive
or negative parts of functions under various types of boundary conditions. |
|---|