2024-03-29T11:58:30Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/688732022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Completely integrable holonomic systems of first order differential equationsIzumiya, Shyuichi410We 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68873info:doi/10.14943/83271https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68873/1/pre126.pdfHokkaido University Preprint Series in Mathematics1262351991-09engpublisher