Existence results for a clamped beam equation with integral boundary conditions

In this paper we investigate the existence of positive solutions of fourthorder 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 extensio...

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Bibliographic Details
Main Authors: Cabada Alberto
Jebari Rochdi
Format: Serial
Published: 2020
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
doi:10.14232/ejqtde.2020.1.70

Online Access:http://acta.bibl.u-szeged.hu/73631
Description
Summary:In this paper we investigate the existence of positive solutions of fourthorder 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.
Physical Description:17
ISSN:1417-3875