In this paper a fixed point theorem due to Covitz and Nadler for contraction multivalued maps, and the Schaefer’s theorem combined with a selection theorem due to Bressan and Colombo for lower semicontinuous multivalued operators with decomposables values, are used to investigate the existence of solutions for boundary value problems of fourth-order differential inclusions.
@article{107904,
author = {A. Arara and Mouffak Benchohra and Sotiris K. Ntouyas and Abdelghani Ouahab},
title = {Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side},
journal = {Archivum Mathematicum},
volume = {040},
year = {2004},
pages = {219-227},
zbl = {1117.34005},
mrnumber = {2107016},
language = {en},
url = {http://dml.mathdoc.fr/item/107904}
}
Arara, A.; Benchohra, Mouffak; Ntouyas, Sotiris K.; Ouahab, Abdelghani. Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side. Archivum Mathematicum, Tome 040 (2004) pp. 219-227. http://gdmltest.u-ga.fr/item/107904/
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