Volume 12, Issue 1, February 2005, Pages 73 - 87
The Structure of Gelfand-Levitan-Marhenko Type Equations for Delsarte Transmutation Operators of Linear Multidimensional Differential Operators and Operator Pencils. Part 1.
Authors
Jolanta Golenia, Anatoliy K. Prykarpatsky, Yarema A. Prykarpatsky
Corresponding Author
Jolanta Golenia
Received 14 January 2004, Accepted 18 May 2004, Available Online 1 February 2005.
- DOI
- 10.2991/jnmp.2005.12.1.7How to use a DOI?
- Abstract
An analog of Gelfand-Levitan-Marchenko integral equations for multi- dimensional Delsarte transmutation operators is constructed by means of studying their differentiageometric 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Jolanta Golenia AU - Anatoliy K. Prykarpatsky AU - Yarema A. Prykarpatsky PY - 2005 DA - 2005/02/01 TI - The Structure of Gelfand-Levitan-Marhenko Type Equations for Delsarte Transmutation Operators of Linear Multidimensional Differential Operators and Operator Pencils. Part 1. JO - Journal of Nonlinear Mathematical Physics SP - 73 EP - 87 VL - 12 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.1.7 DO - 10.2991/jnmp.2005.12.1.7 ID - Golenia2005 ER -