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
Copyright Status
Unknown
Socpus ID
2342627331 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/2342627331
STARS Citation
Bradshow, David and Tovbis, Alexander, "On Formal Solutions To Matrix Version Of A Reduced Kac-Van Moerbeke Equation" (2004). Scopus Export 2000s. 5183.
https://stars.library.ucf.edu/scopus2000/5183