On ordinary differential inclusions with mixed boundary conditions

2015/03/22 by Gabriele Bonanno, Bonanno, Gabriele, Antonio Iannizzotto +3
Mathematics · #34A60 #34B24 #49J52 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:34A60 #msc:34B24 #msc:49J52

paper · pdf · doi:10.48550/arxiv.1503.06411

11 pages

arxiv created 2015/03/22 · arxiv updated 2015/03/24

Abstract

By means of nonsmooth critical point theory, we prove existence of three weak solutions for an ordinary differential inclusion of Sturm-Liouville type involving a general set-valued reaction term depending on a parameter, and coupled with mixed boundary conditions. As an application, we give a multiplicity result for ordinary differential equations involving discontinuous nonlinearities.

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