A sharp oscillation result for second-order half-linear non canonical delay differential equations

Džurina Jozef and Jadlovská Irena: A sharp oscillation result for second-order half-linear non canonical delay differential equations. (2020)

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Abstract

In the paper, new single-condition criteria for the oscillation of all solutions to a second-order half-linear delay differential equation in noncanonical form are obtained, relaxing a traditionally posed assumption that the delay function is nondecreasing. The oscillation constant is best possible in the sense that the strict inequality cannot be replaced by the nonstrict one without affecting the validity of the theorem. This sharp result is new even in the linear case and, to the best of our knowledge, improves all the existing results reporting in the literature so far. The advantage of our approach is the simplicity of the proof, only based on sequentially improved monotonicities of a positive solution.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2020
Number: 46
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.46
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 12-14. ; összefoglalás angol nyelven
Date Deposited: 2020. Dec. 01. 09:59
Last Modified: 2021. Oct. 20. 13:52
URI: http://acta.bibl.u-szeged.hu/id/eprint/70159

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