Boundary Value Problems
Volume 2008 (2008), Article ID 860414, 14 pages
Research Article

Existence and Iteration of Positive Solutions for One-Dimensional p-Laplacian Boundary Value Problems with Dependence on the First-Order Derivative

Zhiyong Wang and Jihui Zhang

Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Jiangsu, Nanjing 210097, China

Received 7 April 2008; Accepted 18 May 2008

Academic Editor: Zhitao Zhang

Copyright © 2008 Zhiyong Wang and Jihui Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with the existence and iteration of positive solutions for the following one-dimensional p-Laplacian boundary value problems: (ϕp(u(t)))+a(t)f(t,u(t),u(t))=0, t(0,1), subject to some boundary conditions. By making use of monotone iterative technique, not only we obtain the existence of positive solutions for the problems, but also we establish iterative schemes for approximating the solutions.