Existence and nonexistence of solution to the discrete fourth-order boundary value problem with parameters

Mohamed Ousbika, Zakaria El Allali


In this paper, we consider the discrete fourth  order  boundary value problems with three parameters. We apply the direct method of calculus variational and the mountain pass theorem in order to establish the existence of at least one and three nontrivial solutions, also we study the nonexistence of nontrivial solution.

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DOI: https://doi.org/10.52846/ami.v47i1.1303