On formal solutions to matrix version of a reduced Kac-van Moerbeke equation

    Authors

    D. Bradshow;A. Tovbis

    Comments

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    Abbreviated Journal Title

    Linear Alg. Appl.

    Keywords

    non-linear matrix differential-difference equations; non-resonance; conditions; formal series solutions; VANMOERBEKE EQUATION; Mathematics, Applied; Mathematics

    Abstract

    In this paper we construct a family of formal power series-logarithmic solutions to a matrix non-linear differential-difference equation of both advanced and retarded type. In the scalar case, this equation represents a self-similar reduction of Kac-van Moerbeke equation. An interesting type of "non-resonance" conditions that guarantee the existence of formal power series-logarithmic solutions was determined. (C) 2004 Elsevier Inc. All rights reserved.

    Journal Title

    Linear Algebra and Its Applications

    Volume

    384

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    207

    Last Page

    214

    WOS Identifier

    WOS:000221592100015

    ISSN

    0024-3795

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