Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory

Yu Tian, John R. Graef, Lingju Kong, Min Wang

DOI: http://dx.doi.org/10.12775/TMNA.2015.089

Abstract


A second-order impulsive differential inclusion with Sturm-Liouville boundary conditions is studied. By using a nonsmooth version of a three critical point theorem of Ricceri, the existence of three solutions is obtained.

Keywords


Differential inclusions; impulsive; Sturm-Liouville boundary conditions; nonsmooth critical point theory

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References


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