Ling Xu
Abstract:
This paper studies the multiplicity of solutions for the fourth-order
boundary value problem at resonance with variable coefficients
where
with
on
,
is bounded
continuous function,
and
is the
first eigenvalue of the associated linear homogeneous boundary value
problem
The proof of our main result is based on the connectivity
properties of the solution sets of parameterized families of compact
vector fields.
Submitted April 14, 2008. Published July 30, 2008.
Math Subject Classifications: 39A10.
Key Words: Connected subsets; resonance; multiplicity results.
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Ling Xu College of Mathematics and Information Science Northwest Normal University Lanzhou, Gansu 730070, China email: xuling_216@yahoo.cn |
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