On the distribution of zeros of solutions of a first order neutral differential equation
Baker, F., El-Morshedy, H. (2015). On the distribution of zeros of solutions of a first order neutral differential equation. EKB Journal Management System, 4(1), 1-9. doi: 10.21608/sjdfs.2015.194323
F. A. Baker; H. A. El-Morshedy. "On the distribution of zeros of solutions of a first order neutral differential equation". EKB Journal Management System, 4, 1, 2015, 1-9. doi: 10.21608/sjdfs.2015.194323
Baker, F., El-Morshedy, H. (2015). 'On the distribution of zeros of solutions of a first order neutral differential equation', EKB Journal Management System, 4(1), pp. 1-9. doi: 10.21608/sjdfs.2015.194323
Baker, F., El-Morshedy, H. On the distribution of zeros of solutions of a first order neutral differential equation. EKB Journal Management System, 2015; 4(1): 1-9. doi: 10.21608/sjdfs.2015.194323

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

Scientific Journal for Damietta Faculty of Science
Article 1, Volume 4, Issue 1, 2015, Page 1-9  XML PDF (3.63 MB)
Document Type: Original articles
DOI: 10.21608/sjdfs.2015.194323
View on SCiNiTO View on SCiNiTO
Authors
F. A. Baker; H. A. El-Morshedy email
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Abstract
This paper is devoted to study the distribution of zeros of all solutions of the first-order neutral
differential equation
[x(t) — px(t — T)]' + Q(t)x(t — σ) = 0, t > t0,
where p > 1, τ,σ > 0 , and Q ∈ C([t0, ∞), (0, ∞)).
We obtain new estimates for the distance between adjacent zeros of all solutions of the above equation
under suitable criteria. Our results are supported with illustrative examples.
Keywords
Distribution of zeros; Oscillation, Neutral differential equations
Statistics
Article View: 63
PDF Download: 88