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Positive solutions for discrete boundary value problems with p-Laplacian

Ji D., Ge W.

Journal of Applied Analysis

2010

Vol. 16, nr 1

107-119

In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for the following two-point discrete boundary value problem with p-Laplacian: Δ(∅p(Δu(k - 1))) + e(k)f(u(k)) = 0 , k∈ N(1,T) , u(0) - B0 (Δu(0)) = 0 , u(T + 1) + B1 (Δu(T)) = 0. The main tool is the monotone iterative technique.

U-points and quasi-U-points in Orlicz function spaces

Wang T., Ji D., Li M.

Fasciculi Mathematici

1999

Nr 29

149-166

In this paper, notions of U-points and quasi-U-points are defined. There is given a characterization of U-point and quasi-U-point in Orlicz function spaces equipped with the Luxemburg norm.