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
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