Title

Linear q-difference equations

Authors

Authors

M. H. Abu Risha; M. H. Annaby; M. E. H. Ismail;Z. S. Mansour

Comments

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Abbreviated Journal Title

Z. Anal. ihre. Anwend.

Keywords

q-difference equations; q-Wronskian; q-type Liouville's formula; BESSEL-FUNCTIONS; POLYNOMIALS; ANALOG; ZEROS; Mathematics, Applied; Mathematics

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.

Journal Title

Zeitschrift Fur Analysis Und Ihre Anwendungen

Volume

26

Issue/Number

4

Publication Date

1-1-2007

Document Type

Article

Language

English

First Page

481

Last Page

494

WOS Identifier

WOS:000252329100009

ISSN

0232-2064

Recommended Citation

"Linear q-difference equations" (2007). Faculty Bibliography 2000s. 6795.
https://stars.library.ucf.edu/facultybib2000/6795