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Hokkaido University Preprint Series in Mathematics >
Completely integrable holonomic systems of first order differential equations
| Title: | Completely integrable holonomic systems of first order differential equations |
| Authors: | Izumiya, Shyuichi Browse this author |
| Issue Date: | Sep-1991 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 124 |
| Start Page: | 2 |
| End Page: | 16 |
| Abstract: | We consider some properties about completely integrable first order differential equations for real-valued functions. In order to study this subject, we introduce the theory of Legendrian unfoldings. One of our theorems asserts that the set of equations with singular solution is an open set in the space of completely integrable equations even though such a set is thin in the space of all equations. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68871 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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