Oscillatory Properties of Fourth-Order Advanced Differential Equations

Author:

Almutairi Alanoud1ORCID,Ali Ali Hasan23ORCID,Bazighifan Omar456ORCID,Iambor Loredana Florentina7ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Hafr Al Batin, P.O. Box 1803, Hafar Al Batin 31991, Saudi Arabia

2. Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq

3. Institute of Mathematics, University of Debrecen, Pf. 400, H-4002 Debrecen, Hungary

4. Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla 50512, Yemen

5. Department of Mathematics, Faculty of Education, Seiyun University, Seiyun 50512, Yemen

6. Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy

7. Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Abstract

This paper presents a study on the oscillatory behavior of solutions to fourth-order advanced differential equations involving p-Laplacian-like operator. We obtain oscillation criteria using techniques from first and second-order delay differential equations. The results of this work contribute to a deeper understanding of fourth-order differential equations and their connections to various branches of mathematics and practical sciences. The findings emphasize the importance of continued research in this area.

Funder

University of Oradea

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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