TY - JOUR
T1 - On the distribution of adjacent zeros of solutions to first-order neutral differential equations
AU - Attia, Emad R.
AU - Al-Masarer, Ohoud N.
AU - Jadlovská, Irena
N1 - Publisher Copyright:
© This work is licensed under a Creative Commons Attribution 4.0 International License
PY - 2023
Y1 - 2023
N2 - The purpose of this paper is to study the distribution of zeros of solutions to a first-order neutral differential equation of the form (Formula Presented) where (Formula Presented) We obtain new upper bound estimates for the distance between consecutive zeros of solutions, which improve upon many of the previously known ones. The results are formulated so that they can be generalized without much effort to equations for which the distribution of zeros problem is related to the study of this property for a first-order delay differential inequality. The strength of our results is demonstrated via two illustrative examples.
AB - The purpose of this paper is to study the distribution of zeros of solutions to a first-order neutral differential equation of the form (Formula Presented) where (Formula Presented) We obtain new upper bound estimates for the distance between consecutive zeros of solutions, which improve upon many of the previously known ones. The results are formulated so that they can be generalized without much effort to equations for which the distribution of zeros problem is related to the study of this property for a first-order delay differential inequality. The strength of our results is demonstrated via two illustrative examples.
KW - Distribution of zeros
KW - Neutral differential equations
KW - Oscillation
UR - http://www.scopus.com/inward/record.url?scp=85147667264&partnerID=8YFLogxK
U2 - 10.55730/1300-0098.3354
DO - 10.55730/1300-0098.3354
M3 - Article
AN - SCOPUS:85147667264
SN - 1300-0098
VL - 47
SP - 195
EP - 212
JO - Turkish Journal of Mathematics
JF - Turkish Journal of Mathematics
IS - 1
ER -