Yu Tian, Weigao Ge
In this work, we consider the second order multi-point boundary-value problem with a p-Laplacian
By applying a nonlinear alternative theorem, we establish existence and uniqueness of solutions on the half-line. Also a uniqueness result for positive solutions is discussed when depends on the first-order derivative. The emphasis here is on the one dimensional p-Laplacian operator.
Submitted May 23, 2008. Published January 9, 2009.
Math Subject Classifications: 34B10, 34B18, 34B40.
Key Words: Multi-point boundary-value problem; p-Laplacian; half-line; positive solutions; existence; uniqueness.
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| Yu Tian |
School of Science
Beijing University of Posts and Telecommunications
Beijing 100876, China
| Weigao Ge |
Department of Mathematics
Beijing Institute of Technology
Beijing 100081, China
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