Cabada Fernández, AlbertoJebari, Rochdi2024-11-192024-11-192020-02Alberto Cabada, Rochdi Jebari. Multiplicity results for fourth order problems related to the theory of deformations beams. Discrete and Continuous Dynamical Systems - B, 2020, 25(2): 489-505. doi: 10.3934/dcdsb.20192501531-3492https://hdl.handle.net/10347/37751This article has been published in a revised form in DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B. 10.3934/dcdsb.2019250. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.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.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/120219 Ecuaciones diferenciales ordinariasjournal article10.3934/dcdsb.20192501553-524Xopen access