Le Xuan Truong, Le Thi Phuong Ngoc, Nguyen Thanh Long
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
| Le Thi Phuong Ngoc |
Nhatrang Educational College, 01 Nguyen Chanh Str.
| 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
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