On the Oscillation of Fourth-Order Delay Differential Equations via Riccati Transformation

Mohamed Mazen (), Mohamed M. A. El-Sheikh, Samah Euat Tallah () and Gamal A. F. Ismail
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Mohamed Mazen: Department of Mathematics, University College for Women, Ain Shams University, Cairo 11566, Egypt
Mohamed M. A. El-Sheikh: Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt
Samah Euat Tallah: Basic Science Department, Higher Institute of Management Science & Foreign Trade, Cairo 11765, Egypt
Gamal A. F. Ismail: Department of Mathematics, University College for Women, Ain Shams University, Cairo 11566, Egypt

Mathematics, 2025, vol. 13, issue 3, 1-12

Abstract: This paper deals with the oscillatory behavior of solutions of a general class of fourth-order non-linear delay differential equations. New oscillation criteria are established using Riccati transformation and a Philos-type technique. The obtained results not only improve and extend some published results in the literature, but also relax some traditional conditions on the function ψ ( χ ( ι ) ) . Three examples are provided to illustrate the main results.

Keywords: delay differential equations; oscillation; Riccati transformation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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