Donglong Bai, Hanying Feng
Abstract:
In this article, we study the multipoint boundary value
problem for the one-dimensional p-Laplacian
subject to the boundary conditions
Using a fixed point theorem due to Avery and Peterson, we provide
sufficient conditions for the existence of at least three positive
solutions to the above boundary value problem. The interesting point
is that the nonlinear term f involves the first
derivative of the unknown function.
Submitted April 5, 2011. Published June 16, 2011.
Math Subject Classifications: 34B10, 34B15, 34B18.
Key Words: Multipoint boundary value problem; positive solution;
Avery-Peterson fixed point theorem; one-dimensional p-Laplacian.
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Donglong Bai Department of Mathematics Shijiazhuang Mechanical Engineering College Shijiazhuang 050003, Hebei, China email: baidonglong@yeal.net | |
Hanying Feng Department of Mathematics Shijiazhuang Mechanical Engineering College Shijiazhuang 050003, Hebei, China email: fhanying@yahoo.com.cn |
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