Title

On formal solutions of linear matrix differential-difference equations

Authors

Authors

H. M. Martin;A. Tovbis

Comments

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Abbreviated Journal Title

Linear Alg. Appl.

Keywords

differential-difference equations; formal solutions; Mathematics, Applied; Mathematics

Abstract

In this paper, we construct a formal solution to the matrix differential-difference equation (dde) Y'(t) = A(t) Y(t(-1)), where A(t) is a matrix power series in t(-1). In many cases solutions to the latter equation and to the matrix differential equation Y' (t) = A (t)Y(t) have the same form. However, these solutions may have different forms when the spectrum of A(0), the leading term of A(t), contains -e(-1). (C) 2002 Published by Elsevier Science Inc. All rights reserved.

Journal Title

Linear Algebra and Its Applications

Volume

345

Publication Date

1-1-2002

Document Type

Article

Language

English

First Page

29

Last Page

42

WOS Identifier

WOS:000174129200003

ISSN

0024-3795

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