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.
Baker, F., & El-Morshedy, H. (2015). On the distribution of zeros of solutions of a first order neutral differential equation. Scientific Journal for Damietta Faculty of Science, 4(1), 1-9. doi: 10.21608/sjdfs.2015.194323
MLA
F. A. Baker; H. A. El-Morshedy. "On the distribution of zeros of solutions of a first order neutral differential equation", Scientific Journal for Damietta Faculty of Science, 4, 1, 2015, 1-9. doi: 10.21608/sjdfs.2015.194323
HARVARD
Baker, F., El-Morshedy, H. (2015). 'On the distribution of zeros of solutions of a first order neutral differential equation', Scientific Journal for Damietta Faculty of Science, 4(1), pp. 1-9. doi: 10.21608/sjdfs.2015.194323
VANCOUVER
Baker, F., El-Morshedy, H. On the distribution of zeros of solutions of a first order neutral differential equation. Scientific Journal for Damietta Faculty of Science, 2015; 4(1): 1-9. doi: 10.21608/sjdfs.2015.194323