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An analog of Gelfand-Levitan-Marchenko integral equations for multi-dimensional Delsarte transmutation operators is constructed by means ofstudying their differential-geometric structure based on the classical Lagrangeidentity for a formally conjugated pair of differential operators. An extensionof the method for the case of affine pencils of differential operators issuggested.Comment: 12 page

journal of nonlinear mathematical physics

The Structure of Gelfand-Levitan-Marchenko Type Equations for Delsarte Transmutation Operators of Linear Multi-Dimensional Differential Operators and Operator Pencils. Part 2