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7 General GBDT theorems and explicit solutions of nonlinear equations by Alexander L. Sakhnovich; Lev A. Sakhnovich; Inna Ya. Roitberg is a scholarly article available to read on EtoBox.

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<!doctype html public "-//w3c//dtd html 4.0 transitional//en"> <html><head> <meta content="text/html; charset=iso-8859-1" http-equiv=content-type> <meta name=generator content="mshtml 8.00.6001.19403"></head> <body> <P>This book is based on the method of operator identities and related theory of <EM>S</EM>-nodes, both developed by Lev Sakhnovich. The notion of the transfer matrix function generated by the <EM>S</EM>-node plays an essential role.</P> <P>The authors present fundamental solutions of various important systems of differential equations using the transfer matrix function, that is, either directly in the form of the transfer matrix function or via the representation in this form of the corresponding Darboux matrix, when Bäcklund–Darboux transformations and explicit solutions are considered. The transfer matrix function representation of the fundamental solution yields solution of an inverse problem, namely, the problem to recover system from its Weyl function. Weyl theories of selfadjoint and skew-selfadjoint Dirac systems, related canonical systems, discrete Dirac systems, system auxiliary to the <EM>N</EM>-wave equation and a system rationally depending on the spectral

Author

Alexander L. Sakhnovich; Lev A. Sakhnovich; Inna Ya. Roitberg

Publisher

Walter de Gruyter GmbH & Co., KG

Published

2013

Language

EN

ISBN

9783112205006