Le Xuan Truong, Phan Dinh Phung
Abstract:
The article shows sufficient conditions for the existence of
positive solutions to a multi-point boundary-value
problem for a fourth-order differential equation.
Our main tools are the Guo-Krasnoselskii fixed point theorem
and the monotone iterative technique. We also show that the
set of positive solutions is compact.
Submitted April 4, 2011. Published October 11, 2011.
Math Subject Classifications: 34B07, 34B10, 34B18, 34B27
Key Words: Multi point; boundary value problem;
Green function; positive solution;
Guo-Krasnoselskii fixed point theorem
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Le Xuan Truong Department of Mathematics and Statistics University of Economics, HoChiMinh city, 59C Nguyen Dinh Chieu Str, District 3, HoChiMinh city, Vietnam email: lxuantruong@gmail.com |
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Phan Dinh Phung Nguyen Tat Thanh University, 300A Nguyen Tat Thanh Str, District 4, HoChiMinh city, Vietnam email: pdphung@ntt.edu.vn |
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