On ordinary differential inclusion with mixed boundary conditions

MARRAS, MONICA;IANNIZZOTTO, ANTONIO;
2017-01-01

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.
2017
Differential inclusion; Mixed boundary conditions; Variational methods
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