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.
Citation
Gabriele Bonanno. Antonio Iannizzotto. Monica Marras. "On ordinary differential inclusions with mixed boundary conditions." Differential Integral Equations 30 (3/4) 273 - 288, March/April 2017. https://doi.org/10.57262/die/1487386826