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Multiplicity of solutions for some fourth-order m-point boundary-value problems

Keywords: Fixed point index , Leray-Schauder degree , fourth order , m-point boundary-value problems , sign-changing solution

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Abstract:

Using the theory of the fixed point index in a cone and the Leray-Schauder degree, this paper investigates the existence and multiplicity of nontrivial solutions for a class of fourth order m-point boundary-value problems.

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