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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: | 126 |
| Start Page: | 2 |
| End Page: | 35 |
| Abstract: | We study classifications of holonomic systems of first order differential equations for one real valued functions by the equivalence relation under the group of point transformations in the sense of Sophus Lie. In order to pursue the classification, we introduce the notion of one-parameter Legendrian unfoldings which induces a special class of divergent diagrams of map-germs which are called integral diagrams. Our normal forms are represented by integral diagrams. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68873 |
| 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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