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Multiplicity result for a discrete eigenvalue problem with discontinuous nonlinearities
Authors:Guoqing Zhang  Weiguo Zhang
Institution:a Department of Applied Mathematics, Tongij University, Shanghai 200092, PR China
b College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, PR China
c College of Sciences, Xidian University, Xi'an Shaanxi 710071, PR China
Abstract:Using a three critical points theorem for nondifferentiable functionals, we investigate a class of second order difference equation with discontinuous nonlinearities. A new multiplicity result is obtained.
Keywords:Critical points of nondifferentiable functionals  Discrete eigenvalue problem  Discontinuous nonlinearities
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