On the Oscillatory Behavior of Solutions of Second-Order Non-Linear Differential Equations with Damping Term

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: Department of Basic Science, Higher Institute of Foreign Trade & Management Science, Cairo 11765, Egypt
Gamal A. F. Ismail: Department of Mathematics, University College for Women, Ain Shams University, Cairo 11566, Egypt

Mathematics, 2024, vol. 12, issue 7, 1-13

Abstract: In this paper, we discuss the oscillatory behavior of solutions of two general classes of nonlinear second-order differential equations. New criteria are obtained using Riccati transformations and the integral averaging techniques. The obtained results improve and generalize some recent criteria in the literature. Moreover, a traditional condition is relaxed. Three examples are given to justify the results.

Keywords: differential equations; oscillation; damping term; Riccati transformation; integral average technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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