Sharp results for oscillation of second-order neutral delay differential equations-Reference-Cited by-同舟云学术

Sharp results for oscillation of second-order neutral delay differential equations

Published:2023 Issue:4 Volume: Page:1-23
ISSN:1417-3875
Container-title:Electronic Journal of Qualitative Theory of Differential Equations
language:en
Short-container-title:Electron. J. Qual. Theory Differ. Equ.

Author:

Bohner Martin¹^ORCID,Grace Said R.²,Jadlovská Irena³^ORCID

Affiliation:

1. Missouri University of Science and Technology

2. Cairo University

3. Slovak Academy of Sciences

Abstract

The aim of the present paper is to continue earlier works by the authors on the oscillation problem of second-order half-linear neutral delay differential equations. By revising the set method, we present new oscillation criteria which essentially improve a number of related ones from the literature. A couple of examples illustrate the value of the results obtained.

Publisher

University of Szeged

Subject

Applied Mathematics

Link

https://www.math.u-szeged.hu/ejqtde/p10101.pdf

Reference41 articles.

1. [1] R. P. Agarwal, M. Bohner, W.-T. Li, Nonoscillation and oscillation: theory for functional differential equations, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 267, Marcel Dekker, Inc., New York, 2004. https://doi.org/10.1201/9780203025741

2. [2] R. P. Agarwal, M. Bohner, T. Li, C. Zhang, Oscillation of second-order Emden-Fowler neutral delay differential equations, Ann. Mat. Pura Appl. (4) 193(2014), No. 6, 1861-1875. https://doi.org/10.1007/s10231-013-0361-7

3. [3] R. P. Agarwal, S. R. Grace, D. O'Regan, Oscillation theory for second order linear, half-linear, superlinear and sublinear dynamic equations, Kluwer Academic Publishers, Dordrecht, 2002. https://doi.org/10.1007/978-94-017-2515-6

4. [4] R. P. Agarwal, S. R. Grace, D. O'Regan, Oscillation theory for second order dynamic equations, Series in Mathematical Analysis and Applications, Vol. 5, Taylor & Francis, Ltd., London, 2003. https://doi.org/10.4324/9780203222898

5. [5] R. P. Agarwal, C. Zhang, T. Li, Some remarks on oscillation of second order neutral differential equations, Appl. Math. Comput. 274(2016), 178-181. https://doi.org/10.1016/ j.amc.2015.10.089; MR3433126

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Second-Order Noncanonical Delay Differential Equations with Sublinear and Superlinear Terms: New Oscillation Criteria via Canonical Transform and Arithmetic–Geometric Inequality;Qualitative Theory of Dynamical Systems;2024-08-29

2. Neutral Emden–Fowler Differential Equation of Second Order: Oscillation Criteria of Coles Type;Symmetry;2024-07-21

3. Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients;Mathematica Slovaca;2024-06-01

4. Fourth-Order Neutral Differential Equation: A Modified Approach to Optimizing Monotonic Properties;Mathematics;2023-10-21

5. New Results for the Investigation of the Asymptotic Behavior of Solutions of Nonlinear Perturbed Differential Equations;Axioms;2023-08-30