Department of Mathematics
Shandong Normal University, Ji-nan, 250014 China
and School of Mathematics, Trinity College
Dublin University, Dublin 2, Ireland
email: bqyan819@beelink.com
Baoqiang Yan
Abstract:
In this paper, Krasnoselskii's theorem and the fixed point
theorem of cone expansion and compression are improved.
Using the results obtained, we establish the existence of
multiple positive solutions for the singular second-order boundary-value
problems with derivative dependance on finite and infinite intervals.
Submitted March 16, 2006. Published July 10, 2006.
Math Subject Classifications: 34B16, 34B18, 34B40.
Key Words: Krasnoselskii's theorem; singular boundary value problems;
fixed point theorem of cone expansion and compression.
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Baoqiang Yan Department of Mathematics Shandong Normal University, Ji-nan, 250014 China and School of Mathematics, Trinity College Dublin University, Dublin 2, Ireland email: bqyan819@beelink.com |
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