Adjoint matrix differential systems
type: Item
instance of: scholarly article
title: Adjoint matrix differential systems
zbMATH Open document ID: 0675.34012
DOI: 10.1016/0022-247X(88)90235-1
author: Binyamin Schwarz
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: This paper is devoted to a specific subject of the projective theory of matrix differential systems, namely the adjoint systems. An adjoint equation is first defined after a ``Lagrange identity'' has been derived. Lagrange identity is the fundamental coupling which corresponds to the coupling between a system of vector differential equations and its adjoint in the classical theory. The geometric relation between the initial equation and its adjoint is then considered. Finally, the notion of self adjoint equations is defined and ``singular'' equations (for which the matrix coefficient of the highest order derivative is not invertible) are considered. Related references are recent works by the author and A. Zaks, as well as a book by \textit{E. J. Wylczynski} [first edition (1906)] for the relations with projective theory.
Mathematics Subject Classification ID: 34A99
zbMATH DE Number: 4105368
zbMATH Keywords: reciprocal property
zbMATH Keywords: Wronskian matrix
zbMATH Keywords: projective theory of matrix differential systems
zbMATH Keywords: adjoint systems
zbMATH Keywords: Lagrange identity
reviewed by: Ovide Arino
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4105368