Chenglong Zhao, Yanyan Yuan, Yansheng Liu
Abstract:
By constructing some special cones and using fixed point
theorem of cone expansion and compression, this paper
presents some necessary and sufficient conditions for
the existence of
positive solutions to a
class of singular boundary-value problems.
Some examples are presented to illustrate our main results.
Submitted September 8, 2005. Published January 19, 2006.
Math Subject Classifications: 34B16.
Key Words: Singular sublinear boundary-value problem; positive solution;
fixed point theorem; cone; higher order differential equation.
Show me the PDF file (285K), TEX file, and other files for this article.
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Chenglong Zhao Department of Mathematics Shandong Normal University Jinan, 250014, China email: jnzhchl@sohu.com |
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Yanyan Yuan Department of Mathematics Shandong Normal University Jinan, 250014, China email: yanyanyuan0311@163.com |
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Yansheng Liu Department of Mathematics Shandong Normal University Jinan, 250014, China email: ysliu6668@sohu.com |
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