Work

Existence of Solutions for Generalized Nonlinear Fourth-Order Differential Equations

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12244002

Authors: Salah Benhiouna, Azzeddine Bellour, Reemah Alhuzally, Ahmad M. Alghamdi

Institutions: University of Skikda, École Normale Supérieure de Constantine, Al Baha University, Umm al-Qura University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4405655659

FWCI: 0.763

Cites: 25

Cited by: 1

Related to: 10