Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624168 | Journal of Mathematical Analysis and Applications | 2006 | 13 Pages |
Abstract
In this paper, we study the existence and multiplicity of nontrivial solutions for the fourth-order two point boundary value problems. Making use of the theory of fixed point index in cone and Leray–Schauder degree, under general conditions on nonlinearity, we prove that there exist at least six different nontrivial solutions for the fourth-order two point boundary value problems. Furthermore, if the nonlinearity is odd, we obtain that there exist at least eight different nontrivial solutions.
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