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The structure of Gelfand-Levitan-Marchenko type equations for Delsarte transmutation operators of linear multi-dimensional differential operators and operator pencils. Part 1

J. Golenia·A. K. Prykarpatsky·Y. A. Prykarpatsky
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Abstract

An analog of Gelfand-Levitan-Marchenko integral equations for multi- dimensional Delsarte transmutation operators is constructed by means of studying their differential-geometric structure based on the classical Lagrange identity for a formally conjugated pair of differential operators. An extension of the method for the case of affine pencils of differential operators is suggested.

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J. Golenia, A. K. Prykarpatsky, Y. A. Prykarpatsky. 2004-03-29. The structure of Gelfand-Levitan-Marchenko type equations for Delsarte transmutation operators of linear multi-dimensional differential operators and operator pencils. Part 1. https://doi.org/10.2991/jnmp.2005.12.3.5

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