Title

On Formal Solutions Of Linear Matrix Differential-Difference Equations

Keywords

Differential-difference equations; Formal solutions

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 A0, the leading term of A(t), contains -e-1.

Publication Date

10-13-2002

Publication Title

Linear Algebra and Its Applications

Volume

345

Issue

1-3

Number of Pages

29-42

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0024-3795(01)00449-9

Socpus ID

84856386383 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84856386383

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