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EXISTENCE OF SOLUTION FOR A THIRD-ORDER DIFFERENTIAL INCLUSION WITH THREE-POINT BOUNDARY VALUE PROBLEM INVOLVING CONVEX MULTIVALUED MAPS
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EXISTENCE OF SOLUTION FOR A THIRD-ORDER DIFFERENTIAL INCLUSION WITH THREE-POINT BOUNDARY VALUE PROBLEM INVOLVING CONVEX MULTIVALUED MAPS

Ali Rezaiguia and Smail Kelaiaia
Memoirs on differential equations and mathematical physics, Vol.82, pp.117-127
01/01/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we discuss the existence of solutions for a third-order differential inclusions with three-point boundary conditions involving convex multivalued maps. The obtained results are based on a nonlinear alternative of the Leray-Schauder type. Finally, some examples are given to illustrate our results.

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