Linear <em>q</em>-Difference Equations
M.H. Abu Risha
Cairo University, EgyptM.H. Annaby
Cairo University, EgyptZ.S. Mansour
Cairo University, EgyptMourad E. H. Ismail
University of Central Florida, Orlando, United States

Abstract
We prove that a linear q-difference equation of order n has a fundamental set of n-linearly independent solutions. A q-type Wronskian is derived for the n-th order case extending the results of Swarttouw--Meijer (1994) in the regular case. Fundamental systems of solutions are constructed for the n-th order linear q-difference equation with constant coefficients. A basic analog of the method of variation of parameters is established.
Cite this article
M.H. Abu Risha, M.H. Annaby, Z.S. Mansour, Mourad E. H. Ismail, Linear <em>q</em>-Difference Equations. Z. Anal. Anwend. 26 (2007), no. 4, pp. 481–494
DOI 10.4171/ZAA/1338