IJPAM: Volume 53, No. 3 (2009)
REDUCTION OF ORDER IN DIFFERENCE EQUATIONS
BY SEMICONJUGATE FACTORIZATION
BY SEMICONJUGATE FACTORIZATION
H. Sedaghat
Department of Mathematics
Virginia Commonwealth University
1015, Floyd Ave., Harris Hall, Room 4182
P.O. Box 842014, Richmond, Virginia, 23284-2014, USA
e-mail: hsedagha@vcu.edu
Department of Mathematics
Virginia Commonwealth University
1015, Floyd Ave., Harris Hall, Room 4182
P.O. Box 842014, Richmond, Virginia, 23284-2014, USA
e-mail: hsedagha@vcu.edu
Abstract.We introduce a method of factoring a difference equation on a group into a triangular system of two difference equations of lower orders. We discuss applications of this method to a variety of nonlinear difference equations of higher orders.
Received: May 3, 2009
AMS Subject Classification: 39A10
Key Words and Phrases: order reduction, form symmetry, semiconjugate factorization
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 3