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This paper establishes the existence and multiplicity of solutions for the discrete Neumann-Steklov problem with singular φ-Laplacian by using the method of lower and upper solutions, a priori estimates and Brouwer degree theory. MSC: 34B15; 39A12doi:10.1186/s13662-017-1373-1 fatcat:2nlnidrpqbcwznuinmzyjppc4u