On Commuting Differential Operators
| dc.contributor.author | Weikard, Rudi | |
| dc.date.accessioned | 2020-01-07T17:48:40Z | |
| dc.date.available | 2020-01-07T17:48:40Z | |
| dc.date.issued | 2000-03-09 | |
| dc.description.abstract | The theory of commuting linear differential expressions has received a lot of attention since Lax presented his description of the KdV hierarchy by Lax pairs (P, L). Gesztesy and the present author have established a relationship of this circle of ideas with the property that all solutions of the differential equations Ly = zy, z ∈ ℂ, are meromorphic. In this paper this relationship is explored further by establishing its existence for Gelfand-Dikii systems with rational and simply periodic coefficients. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Weikard, R. (2000). On commuting differential operators. <i>Electronic Journal of Differential Equations, 2000</i>(19), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9147 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Meromorphic solutions | |
| dc.subject | Commuting differential expressions | |
| dc.subject | Lax pairs | |
| dc.subject | KdV | |
| dc.subject | Gelfand-Dikii systems | |
| dc.title | On Commuting Differential Operators | |
| dc.type | Article |