On Formal Solutions Of Linear Matrix Differential-Difference Equations
Differential-difference equations; Formal solutions
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.
Linear Algebra and Its Applications
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Martin, Heath M. and Tovbis, Alexander, "On Formal Solutions Of Linear Matrix Differential-Difference Equations" (2002). Scopus Export 2000s. 2435.