# Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side

A. Arara; Mouffak Benchohra; Sotiris K. Ntouyas; Abdelghani Ouahab

Archivum Mathematicum (2004)

- Volume: 040, Issue: 3, page 219-227
- ISSN: 0044-8753

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topArara, A., et al. "Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side." Archivum Mathematicum 040.3 (2004): 219-227. <http://eudml.org/doc/249315>.

@article{Arara2004,

abstract = {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.},

author = {Arara, A., Benchohra, Mouffak, Ntouyas, Sotiris K., Ouahab, Abdelghani},

journal = {Archivum Mathematicum},

keywords = {differential inclusions; contraction multivalued map; fixed point; decomposable values; measurable; contraction multivalued map; fixed point; decomposable values},

language = {eng},

number = {3},

pages = {219-227},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side},

url = {http://eudml.org/doc/249315},

volume = {040},

year = {2004},

}

TY - JOUR

AU - Arara, A.

AU - Benchohra, Mouffak

AU - Ntouyas, Sotiris K.

AU - Ouahab, Abdelghani

TI - Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side

JO - Archivum Mathematicum

PY - 2004

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 040

IS - 3

SP - 219

EP - 227

AB - 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.

LA - eng

KW - differential inclusions; contraction multivalued map; fixed point; decomposable values; measurable; contraction multivalued map; fixed point; decomposable values

UR - http://eudml.org/doc/249315

ER -

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