Analytical solution of the k-th order autonomous ordinary differential equation
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| Автор: | |
|---|---|
| Формат: | artículo original |
| Статус: | Versión publicada |
| Дата публикации: | 2017 |
| Описание: | The main objective of this paper is to find the analytical solution of the autonomous equation y(k) = f (y) and prove its convergence using autonomous polynomials of order k, define here in addition of the formula of Faá di Bruno for composition of functions and Bell polynomials. Autonomous polynomials of order k are defined in terms of the boundary values of the equation. Also special values of autonomous polynomials of order 1 are given. |
| Страна: | Portal de Revistas UCR |
| Институт: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Язык: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/22346 |
| Online-ссылка: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/22346 |
| Access Level: | acceso abierto |
| Ключевое слово: | Autonomous equation Bell polynomials Autonomous polynomials ecuación autónoma polinomios de Bell polinomios autónomos |