Yanmin Niu, Baoqiang Yan
Abstract:
In this article, we study the structure of global solutions to the
boundary-value problem
where
,
,
,
,
and
,
are continuous. By a comparison principle and spectral properties
of the corresponding linear equations, we prove the existence of
solutions by using Rabinowitz-type global bifurcation
theorems, and obtain results on the behavior of positive solutions
for large
when
.
Submitted January 5, 2016. Published February 25, 2016.
Math Subject Classifications: 34B09, 34B15, 34B37.
Key Words: Comparison arguments; eigenvalues; global bifurcation theorem;
multiple solutions; asymptotical behavior of solutions.
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Yanmin Niu School of Mathematical Sciences Shandong Normal University Jinan 250014, China email: 1398958626@qq.com | |
Baoqiang Yan School of Mathematical Sciences Shandong Normal University Jinan 250014, China email: yanbqcn@aliyun.com |
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