Meiqiang Feng, Weigao Ge
Abstract:
In this paper, we discuss the existence, nonexistence,
and multiplicity of positive solutions for a class of singular
eigenvalue problems. Some of our theorems are new, while others
extend earlier results obtained by Zhang and Kong [12].
The interesting point is that the authors obtain the relation
between the existence of solutions and the parameter
.
The arguments are based on the fixed point index theory and
the upper and lower solutions method.
Submitted May 10, 2006. Published September 8, 2006.
Math Subject Classifications: 34B15.
Key Words: Positive solution; nonexistence; existence;
complete continuity; singularity.
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Meiqiang Feng Department of Applied Mathematics Beijing Institute of Technology, Beijing 100081, China Department of Fundamental Sciences Beijing Information Technology Institute, Beijing 100101, China email: meiqiangfeng@sina.com |
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| Weigao Ge Department of Applied Mathematics Beijing Institute of Technology, Beijing 100081, China email: gew@bit.edu.cn |
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