Jianye Xia, Yuji Liu
Abstract:
We prove the existence of three monotone positive solutions
for the second-order multi-point boundary value problem,
with sign changing coefficients,
To obtain these results, we use a fixed point theorem for
cones in Banach spaces. Also we present an example that illustrates
the main results.
Submitted October 26, 2009. Published February 4, 2010.
Math Subject Classifications: 34B10, 34B15, 35B10.
Key Words: Second order differential equation; positive solution
multi-point boundary value problem.
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Jianye Xia Department of Mathematics Guangdong University of Finance Guangzhou 510320, China email: JianyeXia@sohu.com | |
Yuji Liu Department of Mathematics Hunan Institute of Science and Technology Yueyang 414000, China email: liuyuji888@sohu.com |
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