Oscillatory Behaviour of Second-Order Nonlinear Differential Equations with Mixed Neutral Terms-Reference-Cited by-同舟云学术

Oscillatory Behaviour of Second-Order Nonlinear Differential Equations with Mixed Neutral Terms

Published:2021-12-01 Issue:2 Volume:79 Page:119-134
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Grace Said R.¹,Graef John R.²,Li Tongxing³,Tunç Ercan⁴

Affiliation:

1. 1 Cairo University , Orman , EGYPT

2. 2 University of Tennessee at Chattanooga , Chattanooga, TN , USA

3. 3 Shandong University , Shandong , CHINA

4. 4 Gaziosmanpasa University , Tokat , TURKEY

Abstract

Abstract The authors examine the oscillation of second-order nonlinear differential equations with mixed nonlinear neutral terms. They present new oscillation criteria that improve, extend, and simplify existing ones in the literature. The results are illustrated by some examples.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2021-0023

Reference22 articles.

1. [1] AGARWAL, R.P.— BOHNER, M.— LI, T.— ZHANG, C.: Oscillation of second-order differential equations with a sublinear neutral term, Carpathian J. Math. 30 (2014), 1–6.10.37193/CJM.2014.01.01

2. [2] AGARWAL, R.P.— GRACE, S.R.—O’REGAN, D.: Oscillation Theory for Difference and Functional Differential Equations. Kluwer Academic Publishers, Dordrecht, 2010.

3. [3] AGARWAL, R.P.—GRACE, S.R.—O’REGAN, D.: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations. Kluwer Academic Publishers, Dordrecht, 2010.

4. [4] BOHNER, M.—GRACE, S.R.—JADLOVSKÁ, I.: Oscillation criteria for second-order neutral delay differential equations, Electron. J. Qual. Theory Differ. Equ. 2017 (2017), no. 60, 1–12.

5. [5] GRACE, S. R.: Oscillatory behavior of second-order nonlinear differential equations with a nonpositive neutral term, Mediterr. J. Math. 14 (2017), Paper no. 229, 1–12.

Cited by 2 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. New Criteria on the Oscillatory Behaviour of Second Order Nonlinear Differential Equations with Mixed Neutral Terms;Tatra Mountains Mathematical Publications;2023-12-18

2. Oscillatory behavior of second-order nonlinear noncanonical neutral differential equations;Acta Universitatis Sapientiae, Mathematica;2023-12-01