Title

Linear Q-Difference Equations

Keywords

q-difference equations; q-type Liouville's formula; q-Wronskian

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 nth 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. © European Mathematical Society.

Publication Date

1-1-2007

Publication Title

Zeitschrift fur Analysis und ihre Anwendung

Volume

26

Issue

4

Number of Pages

481-494

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.4171/ZAA/1338

Socpus ID

37049020452 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/37049020452

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