New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations

Irena Jadlovská
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Irena Jadlovská: Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01 Košice, Slovakia

Mathematics, 2021, vol. 9, issue 17, 1-23

Abstract: In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows removing several disadvantages which were commonly associated with the method based on a priori bound for the nonoscillatory solution, and deriving new results which are optimal in a nonneutral case. It is shown that the newly obtained results significantly improve a large number of existing ones.

Keywords: half-linear neutral differential equation; delay; second-order; oscillation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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