Property (A) and Oscillation of Higher-Order Trinomial Differential Equations with Retarded and Advanced Arguments-Reference-Cited by-同舟云学术

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Property (A) and Oscillation of Higher-Order Trinomial Differential Equations with Retarded and Advanced Arguments

Published:2024-03-20 Issue:6 Volume:12 Page:910
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Baculikova Blanka¹

Affiliation:

1. Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia

Abstract

In this paper, a new effective technique for the investigation of the higher-order trinomial differential equations y(n)(t)+p(t)y(τ(t))+q(t)y(σ(t))=0 is established. We offer new criteria for so-called property (A) and oscillation of the considered equation. Examples are provided to illustrate the importance of our results.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/6/910/pdf

Reference15 articles.

1. Agarwal, R.P., Grace, S.R., and O’Regan, D. (2002). Oscillation Theory for Second Order Linear, Half-linear, Superlinear and Sublinear Dynamic Equations, Kluver Academic Publishers.

2. New monotonicity properties and oscillation of n-order functional differential equations with deviating argument;Baculikova;Electron. J. Qual. Theory Differ. Equ.,2023

3. Oscillation of even order linear functional differential equations with mixed deviating arguments;Baculikova;Opusc. Math.,2019

4. Oscillatory behavior of the second order functional differential equations;Baculikova;Appl. Math. Lett.,2017

5. On the oscillation of solutions of the equation dmudtm+a(t)|u|nsign u=0;Kiguradze;Mat. Sb.,1964

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