q-Lidstone polynomials and existence results for q-boundary value problems

Abstract In this paper, we study some properties of q-Lidstone polynomials by using Green’s function of certain q-differential systems. The q-Fourier series expansions of these polynomials are given. As an application, we prove the existence of solutions for the linear q-difference equations ( − 1 )...

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Bibliographic Details
Main Authors: Zeinab Mansour, Maryam Al-Towailb
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-017-0908-4