EXISTENCE AND ITERATION OF POSITIVE SOLUTIONS FOR A NONLINEAR MULTI-POINT BOUNDARY VALUE PROBLEM WITH A p-LAPLACIAN OPERATOR

Shaokang Zhang, Shaowu Xiong, Hongqiu Yuan

Abstract


In this paper, we study the existence and iteration of positive solutions for a nonlinear multi-point boundary value problem with a p-Laplacian operator. By using the monotone iterative technique, we obtain not only the existence of positive solutions for the problem, but also establish iterative schemes for approximating the solutions,which is different from the previous ones.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)