Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628384 | Applied Mathematics and Computation | 2014 | 16 Pages |
Abstract
A technique to compute arbitrary products of a class of Fibonacci 2×22×2 square matrices is proved in this work. General explicit solutions for non autonomous Fibonacci difference equations are obtained from these products. In the periodic non autonomous Fibonacci difference equations the monodromy matrix, the Floquet multipliers and the Binet’s formulas are obtained. In the periodic case explicit solutions are obtained and the solutions are analyzed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rafael Luís, Henrique M. Oliveira,