Article ID Journal Published Year Pages File Type
4628384 Applied Mathematics and Computation 2014 16 Pages PDF
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
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