Difference potentials and parameterization of solutions of homogeneous difference equations
type: Item
instance of: scholarly article
title: Difference potentials and parameterization of solutions of homogeneous difference equations
zbMATH Open document ID: 0968.31008
author: D. S. Kamenetskij
published in: Computational Mathematics and Mathematical Physics
publication date: 2001-09-10T00:00:00Z
review text: The problems of a one-to-one parameterization of the set of solutions to a general homogeneous difference equation are studied by using difference potentials with densities of a special type. On the basis of the concept of a pair of complementary boundary operators, all admissible parameterizations are described. The relation between this problem and the problem of constructing so-called independent internal boundary conditions is analyzed.
Mathematics Subject Classification ID: 31C20
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 35A35
zbMATH DE Number: 1473011
zbMATH Keywords: method of difference potentials
zbMATH Keywords: difference equations
zbMATH Keywords: complementary boundary operators
zbMATH Keywords: internal boundary conditions
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1473011