On Commuting Differential Operators
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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.
CitationWeikard, R. (2000). On commuting differential operators. Electronic Journal of Differential Equations, 2000(19), pp. 1-12.
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