Existence of Solutions for Generalized Nonlinear Fourth-Order Differential Equations
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.
Authors
- Salah Benhiouna (ORCID: https://orcid.org/0000-0002-7266-5891)
- Ahmad M. Alghamdi (ORCID: https://orcid.org/0000-0001-9715-1558)
- Azzeddine Bellour (ORCID: https://orcid.org/0000-0002-3644-0804)
- Reemah Alhuzally (ORCID: https://orcid.org/0009-0008-9301-2188)
Institutions
- Umm al-Qura University (SA)
- École Nationale Polytechnique d'Oran (DZ)
- École Normale Supérieure de Constantine (DZ)
- Al Baha University (SA)
- University of Skikda (DZ)
Publication Details
- Journal
- Mathematics
- Published
- 2024-12-20
- DOI
- https://doi.org/10.3390/math12244002
- Citations
- 1
- Primary Topic
- Numerical methods for differential equations
- Type
- article
- Field-Weighted Citation Impact
- 0.73