We study the following nonlinear m-point p-Laplacian boundary value problem with non-homogenous condition: (Φp(u′)′)+f(t, u, u′)=0, 01, λ>0, ki≥0(i = 1, 2, ··· , m-2), 0 λ*. The proof is based on the Schauder fixed point theorem and upper-lower technics.
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