On ordinary differential inclusions with mixed boundary conditions

Gabriele Bonanno; Antonio Iannizzotto; Monica Marras

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arXiv · 1503.06411

On ordinary differential inclusions with mixed boundary conditions

Gabriele Bonanno·Antonio Iannizzotto·Monica Marras

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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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Gabriele Bonanno, Antonio Iannizzotto, Monica Marras. 2015-03-22. On ordinary differential inclusions with mixed boundary conditions. https://arxiv.org/abs/1503.06411

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