Criteria for the existence of an isolated solution of a nonlinear boundary-value problem
A nonlinear two-point boundary-value problem for an ordinary differential equation is studied by the method of parametrization. We construct systems of nonlinear algebraic equations that enable us to find the initial approximation to the solution to the posed problem. In terms of the properties of c...
Збережено в:
| Дата: | 2018 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2018
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1561 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | A nonlinear two-point boundary-value problem for an ordinary differential equation is studied by the method of parametrization.
We construct systems of nonlinear algebraic equations that enable us to find the initial approximation to the solution
to the posed problem. In terms of the properties of constructed systems,we establish necessary and sufficient conditions for
the existence of an isolated solution to the boundary-value problem under consideration. |
|---|