Existence of Solutions for Generalized Nonlinear Fourth-Order Differential Equations

Salah Benhiouna, Azzeddine Bellour, Reemah Alhuzally () and Ahmad M. Alghamdi
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Salah Benhiouna: Department of Mathematics, Ecole Normale Supérieure D’enseignement Technologique (ENSET) de Skikda, Skikda 21001, Algeria
Azzeddine Bellour: Laboratory of Applied Mathematics and Didactics, Ecole Normale Supérieure de Constantine, Constantine 25016, Algeria
Reemah Alhuzally: Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha P.O. Box 1988, Saudi Arabia
Ahmad M. Alghamdi: Mathematics Department, Faculty of Sciences, Umm Al-Qura University, P.O. Box 14035, Makkah 21955, Saudi Arabia

Mathematics, 2024, vol. 12, issue 24, 1-10

Abstract: In this article, we studied the existence of solutions for a more general form of nonlinear fourth-order differential equations by using a new generalization of the Arzelá–Ascoli theorem and Schauder fixed theorem under easier and general conditions. Moreover, we provided some sufficient conditions on the nonlinear function that allowed us to deduce the nonexistence results. Finally, we outlined an example to illustrate our main results.

Keywords: generalization of Arzelá–Ascoli theorem; fixed point theorem; fourth-order differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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