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2012 | OriginalPaper | Buchkapitel

2. q-Difference Equations

verfasst von : Mahmoud H. Annaby, Zeinab S. Mansour

Erschienen in: q -Fractional Calculus and Equations

Verlag: Springer Berlin Heidelberg

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Abstract

This chapter includes proofs of the existence and uniqueness of the solutions of first order systems of q-difference equations in a neighborhood of a point a, \(a \geq 0\). Then, as applications of the main results, we study linear q-difference equations as well as the q-type Wronskian. These results are mainly based on (Mansour, q-Difference Equations, Master’s thesis, Faculty of Science, Cairo University, Giza, Egypt, 2001). This chapter also includes a section on the asymptotics of zeros of some q-functions.

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Titel: q-Difference Equations
verfasst von: Mahmoud H. Annaby
Zeinab S. Mansour
Verlag: Springer Berlin Heidelberg
Buch: q -Fractional Calculus and Equations
Print ISBN: 978-3-642-30897-0

Electronic ISBN: 978-3-642-30898-7

Copyright-Jahr: 2012
DOI: https://doi.org/10.1007/978-3-642-30898-7_2

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