ON COMMUTING DIFFERENTIAL OPERATORS

被引：0
|
作者：
Weikard, R. [1 ]
机构：
[1] Univ Alabama Birmingham, Dept Math, Birmingham, AL 35294 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年
关键词：
Meromorphic solutions; Commuting differential expressions; Lax pairs; KdV; Gelfand-Dikii systems;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 is an element of 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.
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页数：11
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