Article Title
Abstract
Recently the authors introduced in [1] the notions of qk-derivative and qk-integral of a function on finite intervals. As applications existence and uniqueness results for initial value problems for first and second order impulsive qk-difference equations was proved. In this paper, we study the existence and uniqueness of solutions for a boundary value problem of nonlinear second-order impulsive qk-difference equations with integral boundary conditions. Two results are obtained by applying Banach contraction principle and Leray-Schauder’s Nonlinear Alternative. Some examples are presented to illustrate the results.
Suggested Reviewers
N/A
Recommended Citation
Sudsutad, Weerawat; Tariboon, Jessada; and K. Ntouyas, Sotiris
(2015)
"Existence of Solutions for Second-Order Impulsive q-Difference Equations with Integral Boundary Conditions,"
Applied Mathematics & Information Sciences: Vol. 09
:
Iss.
4
, Article 16.
Available at:
https://dc.naturalspublishing.com/amis/vol09/iss4/16