On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations

Irena Jadlovská, George E. Chatzarakis, Jozef Džurina and Said R. Grace
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Irena Jadlovská: Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 04001 Košice, Slovakia
George E. Chatzarakis: Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE) Marousi, 15122 Athens, Greece
Jozef Džurina: Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 04200 Košice, Slovakia
Said R. Grace: Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt

Mathematics, 2021, vol. 9, issue 14, 1-18

Abstract: In this paper, effective oscillation criteria for third-order delay differential equations of the form, r 2 r 1 y ? ? ? ( t ) + q ( t ) y ( ? ( t ) ) = 0 ensuring that any nonoscillatory solution tends to zero asymptotically, are established. The results become sharp when applied to a Euler-type delay differential equation and, to the best of our knowledge, improve all existing results from the literature. Examples are provided to illustrate the importance of the main results.

Keywords: third-order differential equation; delay; property A; oscillation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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