Electronic Journal of Qualitative Theory of Differential Equations (Dec 2020)

Existence results for a clamped beam equation with integral boundary conditions

  • Alberto Cabada,
  • Rochdi Jebari

DOI
https://doi.org/10.14232/ejqtde.2020.1.70
Journal volume & issue
Vol. 2020, no. 70
pp. 1 – 17

Abstract

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In this paper we investigate the existence of positive solutions of fourth-order non autonomous differential equations with integral boundary conditions, the nonlinearity is a continuous function that depends on the spatial variable and its the second-order derivative. The approach relies an extension of Krasnoselskii's fixed point theorem in a cone. Some examples are given to illustrate our results.

Keywords