Title

On Formal Solutions To Matrix Version Of A Reduced Kac-Van Moerbeke Equation

Keywords

Formal series solutions; Non-linear matrix differential-difference equations; Non-resonance conditions

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. © 2004 Elsevier Inc. All rights reserved.

Publication Date

6-1-2004

Publication Title

Linear Algebra and Its Applications

Volume

384

Issue

1-3 SUPPL.

Number of Pages

207-214

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.laa.2004.02.007

Socpus ID

2342627331 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/2342627331

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