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Oscillatory Properties of Fourth-Order Advanced Differential Equations

Alanoud Almutairi, Ali Hasan Ali, Omar Bazighifan and Loredana Florentina Iambor ()
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Alanoud Almutairi: Department of Mathematics, Faculty of Science, University of Hafr Al Batin, P.O. Box 1803, Hafar Al Batin 31991, Saudi Arabia
Ali Hasan Ali: Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla 50512, Yemen
Loredana Florentina Iambor: Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania

Mathematics, 2023, vol. 11, issue 6, 1-11

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.

Keywords: oscillatory behavior; p -Laplace operator; fourth-order equation; advanced differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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