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Third order differential equations with integral boundary conditions
Journal article   Peer reviewed

Third order differential equations with integral boundary conditions

Abdelkader Boucherif, Sidi Mohamed Bouguima, Nawal Al-Malki and Zehour Benbouziane
Nonlinear analysis, Vol.71(12), pp.e1736-e1743
15/12/2009
DOI: https://doi.org/10.1016/j.na.2009.02.055

Abstract

A priori bound on solutions Fixed point theorems Integral boundary conditions Third order differential equations
In this paper, we study nonlinear third order differential equations with integral boundary conditions. We provide sufficient conditions on the nonlinearity and the functions appearing in the boundary conditions that guarantee the existence of at least one solution to our problem. Our technique is based on a priori bounds and fixed point theorems.

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