King Abdulaziz University, Faculty of Science P.O. Box 80203, 21589 Jeddah, Saudi Arabia; Universidad de Santiago de Compostela, Facultad de Matematicas 15782 Santiago, Spain
We investigate the existence of solutions for boundary value problems of the third-order q-difference equations and inclusions. Our results are based on some standard fixed point theorems. In case of inclusion problem, the existence results are obtained for convex as well as nonconvex multi-valued maps. We also discuss the existence of extremal solutions for the inclusion problem.
Ahmad, B., & Nieto, J. J. (2013). Basic theory of nonlinear third-order q-difference equations and inclusions. Mathematical Modelling and Analysis, 18(1), 122-135. https://doi.org/10.3846/13926292.2013.760012
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