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Using Fan's Min-Max Theorem we investigate the existence of solutions and thier dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional. 1991 Mathematics Subject Classification. 39A10,47J30.doi:10.2478/s11533-012-0010-1 fatcat:5jproytwwjd7rjwi3m35wsf2qa