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Multiplicity results for fourth order problems related to the theory of deformations beams

  • * Corresponding author: Alberto Cabada

    * Corresponding author: Alberto Cabada 
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  • The main purpose of this paper is to establish the existence and multiplicity of positive solutions for a fourth-order boundary value problem with integral condition. By using a new technique of construct a positive cone, we apply the Krasnoselskii compression/expansion and Leggett-Williams fixed point theorems in cones to show our multiplicity results. Finally, a particular case is studied, and the existence of multiple solutions is proved for two different particular functions.

    Mathematics Subject Classification: Primary: 34B15, 34B27; Secondary: 34B09, 34B10.

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  • Figure 1.  Graph of $ \frac{z_M'''(1)-z_M'''(0)-1}{M} $ on $ [-m_0^4, m_1^4) $

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