In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of second order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1131,
author = {Bashir Ahmad and Sotiris K. Ntouyas},
title = {A study of second order differential inclusions with four-point integral boundary conditions},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {31},
year = {2011},
pages = {137-156},
zbl = {1262.34020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1131}
}
Bashir Ahmad; Sotiris K. Ntouyas. A study of second order differential inclusions with four-point integral boundary conditions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 31 (2011) pp. 137-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1131/
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