In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1157,
author = {Sotiris K. Ntouyas and Thanin Sitthiwirattham and Jessada Tariboon},
title = {Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {34},
year = {2014},
pages = {41-59},
zbl = {1327.39006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1157}
}
Sotiris K. Ntouyas; Thanin Sitthiwirattham; Jessada Tariboon. Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 34 (2014) pp. 41-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1157/
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