On the distribution of zeros of all solutions of a first order nonlinear neutral differential equation-Reference-Cited by-同舟云学术

On the distribution of zeros of all solutions of a first order nonlinear neutral differential equation

Published:2022 Issue:15 Volume:36 Page:5139-5148
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Elbasha Ahmed¹,El-Morshedy Hassan²,Grace Said¹

Affiliation:

1. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, Egypt

2. Department of Mathematics, Faculty of Science, Damietta University, New Damietta, Egypt

Abstract

We investigate the distribution of zeros of all solutions of a non-autonomous nonlinear neutral differential equation that generalizes a lossless transmission network model. The neutral term is taken to be positive. We give several new estimations of the gap between adjacent zeros. The obtained results are supported by illustrative examples.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference35 articles.

1. R.P. Agarwal, O. Bazighifan, M.A. Ragusa, Nonlinear neutral delay differential equations of fourth-order: Oscillation of solutions, Entropy 2021, 23, 129.

2. R.P. Agarwal, L. Berezansky, E. Braverman and A. Domoshnitsky, Theory of Functional Differential Equations with Applications, Springer, 2012.

3. R.P. Agarwal and S.R. Grace, Asymptotic stability of certain neutral differential equations, Math. Comput. Modelling 31 (2000) 9-15.

4. R.P. Agarwal, S.R. Grace and D. O’Regan, Oscillation Theory for Difference and Functional Differential Equations, Dordrecht, Boston, 2000.

5. D.D. Bainov and D.P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, 1991.

Cited by 1 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. On the upper bounds for the distance between zeros of solutions of a first-order linear neutral differential equation with several delays;AIMS Mathematics;2024