| Автор | James C Robinson |
| Дата выпуска | 1999-05-01 |
| dc.description | One method of proving the existence of solutions for ODEs , where f is continuous, is to approximate f by a sequence of Lipschitz functions for which standard existence results can be applied. This short paper shows conversely that, in a phase space that is not two-dimensional, for each solution of (such solutions may not be unique) there is a sequence of Lipschitz functions which approximate f and which have solutions which converge to the chosen limit. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Solutions of continuous ODEs obtained as the limit of solutions of Lipschitz ODEs |
| Тип | paper |
| DOI | 10.1088/0951-7715/12/3/008 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 12 |
| Первая страница | 555 |
| Последняя страница | 561 |
| Аффилиация | James C Robinson; University of Oxford, Centre for Industrial and Applied Mathematics, Mathematical Institute, 24-29 St Giles, Oxford OX1 3LB, UK |
| Выпуск | 3 |
