Research Article Existence of Positive Solutions for a Discrete Three-Point Boundary Value Problem
نویسندگان
چکیده
A discrete three-point boundary value problem Δxk−1 + λ fk(xk)= 0, k = 1,2, . . . ,n, x0 = 0, axl = xn+1, is considered, where 1≤ l ≤ n is a fixed integer, a is a real constant number, and λ is a positive parameter. A characterization of the values of λ is carried out so that the boundary value problem has the positive solutions. Particularly, in this paper the constant a can be negative numbers. The similar results are not valid for the three-point boundary value problem of differential equations.
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