Abstract

The aim of this paper is to extend and complete the recent work by Graef et al. (J. Appl. Anal. Comput., 2021) analyzing the asymptotic properties of solutions to third-order linear delay differential equations. Most importantly, the authors tackle a particularly challenging problem of obtaining lower estimates for Kneser-type solutions. This allows improvement of existing conditions for the nonexistence of such solutions. As a result, a new criterion for oscillation of all solutions of the equation studied is established.

Department(s)

Mathematics and Statistics

Keywords and Phrases

delay; Kneser solution; linear; Third-order differential equation

International Standard Serial Number (ISSN)

2158-5644; 2156-907X

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2023, All rights reserved.

Publication Date

01 Jan 2022

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