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.
M. Bohner et al., "Asymptotic Properties of Kneser Solutions to Third-Order Delay Differential Equations," Journal of Applied Analysis and Computation, vol. 12, no. 5, pp. 2024 - 2032, Jan 2022.
The definitive version is available at https://doi.org/10.11948/20210439
Mathematics and Statistics
Keywords and Phrases
delay; Kneser solution; linear; Third-order differential equation
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2022