q-Difference Equations

  • Mahmoud H. Annaby
  • Zeinab S. Mansour
Part of the Lecture Notes in Mathematics book series (LNM, volume 2056)


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.


Cauchy Problem Entire Function Uniqueness Theorem Successive Approximation Order System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Mahmoud H. Annaby
    • 1
  • Zeinab S. Mansour
    • 2
  1. 1.Faculty of Science Department of MathematicsCairo UniversityGizaEgypt
  2. 2.Faculty of Science Department of MathematicsKing Saud UniversityRiyadhKingdom of Saudi Arabia

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