On formal solutions of linear matrix differential-difference equations

    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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