Title
On formal solutions to matrix version of a reduced Kac-van Moerbeke equation
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
ISSN
0024-3795
Recommended Citation
"On formal solutions to matrix version of a reduced Kac-van Moerbeke equation" (2004). Faculty Bibliography 2000s. 4225.
https://stars.library.ucf.edu/facultybib2000/4225
Comments
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