Differential Equations of Fourth-Order with p -Laplacian-like Operator: Oscillation Theorems

Omar Bazighifan (), Nawa Alshammari, Khalil S. Al-Ghafri and Loredana Florentina Iambor ()
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Omar Bazighifan: Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen
Nawa Alshammari: Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia
Khalil S. Al-Ghafri: College of Applied Sciences, University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman
Loredana Florentina Iambor: Department of Mathematics and Computer Science, University of Oradea, University Street, 410087 Oradea, Romania

Mathematics, 2024, vol. 12, issue 22, 1-10

Abstract: In this work, we find new oscillation criteria for fourth-order advanced differential equations with a p-Laplace-type operator. We established our results through a comparison method with integral averaging and Riccati techniques to obtain new oscillatory properties for the considered equation. Our criteria substantially simplify and complement a number of existing ones. We give some examples to illustrate the significance of the obtained results.

Keywords: oscillation; differential equations; p -Laplace (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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