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Research Article | Open Access

Solution-tube and existence results for fourth-order differential equations system

Bouharket Bendouma1, Fatima Zohra Ladrani2, Keltoum Bouhali3, Ahmed Hammoudi4, Loay Alkhalifa3( )
Faculty of Mathematics and Informatics, Ibn Khaldoun, University of Tiaret, Algeria
Department of Exact Sciences, Higher Training Teacher's School of Oran Ammour Ahmed (ENSO), Oran, Algeria
Department of Mathematics, College of Science, Qassim University, Saudi Arabia
Laboratory of Mathematics, Ain Témouchent University P.O. Box 89, 46000 Ain Témouchent, Algeria
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Abstract

In the present paper, we examine the existence of solutions to fourth-order differential equation systems when the L1-Carathéodory function is on the right-hand side. A concept of solution-tube for these issues is presented. The concepts of upper and lower solutions for fourth-order differential equations are extended to systems owing to this idea.

Keywords

fourth-order systems of differential equationsiterative methodssolution-tubesexistence theoremsLeray-Schauder degree
CLC number: 34A34, 34A60, 34B15, 47H10

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 32831-32848
DOI: 10.3934/math.20241571

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Bendouma B, Ladrani FZ, Bouhali K, et al. Solution-tube and existence results for fourth-order differential equations system. AIMS Mathematics, 2024, 9(11): 32831-32848. https://doi.org/10.3934/math.20241571

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Received: 07 September 2024
Revised: 04 November 2024
Accepted: 12 November 2024
Published: 20 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)