On formal solutions to matrix version of a reduced Kac-van Moerbeke equation
Abbreviated Journal Title
Linear Alg. Appl.
non-linear matrix differential-difference equations; non-resonance; conditions; formal series solutions; VANMOERBEKE EQUATION; Mathematics, Applied; Mathematics
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.
Linear Algebra and Its Applications
"On formal solutions to matrix version of a reduced Kac-van Moerbeke equation" (2004). Faculty Bibliography 2000s. 4225.