Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471363 | Computers & Mathematics with Applications | 2013 | 8 Pages |
Abstract
Non-autonomous, higher order difference equations of type xn+1=∑i=0kaixn−i+gn(∑i=0kbixn−i) with real variables and parameters have appeared frequently in the literature. We extend some recent results on semiconjugate factorization and reduction of order to cases where characteristic polynomials of the linear expressions ∑i=0kaiui and ∑i=0kbiui have complex roots. This extension yields new results on boundedness and existence of periodic solutions for equations of order 3 or greater.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
H. Sedaghat,