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Bounded positive solutions of an iterative three-point boundary-value problem with integral boundary condtions

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Abstract

The aim of this paper is to investigate the existence, uniqueness and continuous dependence of solutions for a class of third order iterative differential equations with integral boundary conditions. The method applied here is based on Schauder’s fixed point theorem. The main idea consists to convert the considered equation into an integral one before using the fixed point theorem. Moreover, an example is given to illustrate our main results.

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Correspondence to Ahlème Bouakkaz.

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Cheraiet, S., Bouakkaz, A. & Khemis, R. Bounded positive solutions of an iterative three-point boundary-value problem with integral boundary condtions. J. Appl. Math. Comput. 65, 597–610 (2021). https://doi.org/10.1007/s12190-020-01406-8

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  • DOI: https://doi.org/10.1007/s12190-020-01406-8

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