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Multiple solutions for partial discrete Dirichlet problems depending on a real parameter
Authors:Shapour Heidarkhani
Affiliation:Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
Abstract:In this paper we establish the existence of multiple solutions for a partial discrete Dirichlet problem depending on a real parameter. More precisely, under appropriate assumptions on the nonlinearities, we determine exact collections of parameters such that the treated problems admit at least three solutions.
Keywords:discrete nonlinear boundary value problems  algebraic systems  multiple solutions  difference equations  critical points theory
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