Chunli Wang, Xiaoshuang Han, Chunhong Li
Abstract:
In this paper we investigate the existence of positive solution to
the discrete second-order three-point boundary-value problem
where
,
,
,
,
,
and
is a function that may change sign on
.
Using the fixed-point index theory, we prove the existence of
positive solution for the above boundary-value problem.
Submitted March 6, 2008. Published June 11, 2008.
Math Subject Classifications: 39A05, 39A10.
Key Words: Boundary value problem; positive solution;
difference equation; fixed point; changing sign coefficients.
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Chunli Wang Institute of Information Technology University of Electronic Technology Guilin, Guangxi 541004, China email: wangchunliwcl821222@sina.com |
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Xiaoshuang Han Yanbian University of Science and Technology Yanji, Jilin 133000, China email: petty_hxs@hotmail.com |
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Chunhong Li Department of Mathematics Yanbian University Yanji, Jilin 133000, China email: abbccc2007@163.com |
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