Texas A&M University, Department of Mathematics, Texas A&M University, Kingsville, TX 78363-8202, USA; King Abdulaziz University, NAAM-Research Group, Department of Mathematics, Faculty of Science, P.O. Box 80203, Jeddah 21589, Saudi Arabia
In this paper, we discuss the existence of solutions for nonlinear qdifference equations with nonlocal q-integral boundary conditions. The first part of the paper deals with some existence and uniqueness results obtained by means of standard tools of fixed point theory. In the second part, sufficient conditions for the existence of extremal solutions for the given problem are established. The results are well illustrated with the aid of examples.
Agarwal, R. P., Wang, G., Ahmad, B., Zhang, L., Hobiny, A., & Monaquel, S. (2015). On Existence of Solutions for Nonlinear q-difference Equations with Nonlocal q-integral Boundary Conditions. Mathematical Modelling and Analysis, 20(5), 604-618. https://doi.org/10.3846/13926292.2015.1088483
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