Le Xuan Truong, Le Thi Phuong Ngoc, Nguyen Thanh Long
Abstract:
In this paper, we obtain sufficient conditions for the existence of
a positive solution, and infinitely many positive solutions, of the
m-point boundary-value problem
Our main tools are the Guo-Krasnoselskii's fixed point theorem
and the monotone iterative technique.
We also show that the set of positive solutions is compact.
Submitted April 22, 2008. Published August 15, 2008.
Math Subject Classifications: 34B07, 34B10, 34B18, 34B27.
Key Words: Multi-point boundary; positive solution;
Guo-Krasnoselskii fixed point theorem.
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Le Xuan Truong University of Technical Education in HoChiMinh City 01 Vo Van Ngan Str., Thu Duc Dist., HoChiMinh City, Vietnam email: lxuantruong@gmail.com | |
Le Thi Phuong Ngoc Nhatrang Educational College, 01 Nguyen Chanh Str. email: ngoc1966@gmail.com | |
Nguyen Thanh Long Department of Mathematics and Computer Science University of Natural Science, Vietnam National University HoChiMinh City 227 Nguyen Van Cu Str., Dist. 5, HoChiMinh City, Vietnam email: longnt@hcmc.netnam.vn, longnt2@gmail.com |
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