Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions

Barakah Almarri, Ali Hasan Ali, António M. Lopes and Omar Bazighifan
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Barakah Almarri: Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Ali Hasan Ali: Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
António M. Lopes: LAETA/INEGI, Faculty of Engineering, University of Porto, 4099-002 Porto, Portugal
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla 50512, Yemen

Mathematics, 2022, vol. 10, issue 6, 1-10

Abstract: The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research. We propose a new explanation of the fourth-order equation oscillation in terms of the oscillation of a similar well-studied second-order linear differential equation without damping. The extended Riccati transformation, integral averaging approach, and comparison principles are used to provide some additional oscillatory criteria. An example demonstrates the efficacy of the acquired criteria.

Keywords: oscillation; fourth-order; damping term; Riccati transformation; comparison theorem; distributed deviating arguments (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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