Songbai Guo, Wanbiao Ma, B. G. Sampath Aruna Pradeep
Abstract:
In this article, we concerned with oscillation of the neutral delay
differential equation
with constant
coefficients. By constructing several suitable auxiliary functions,
we obtained some necessary and sufficient conditions for oscillation
of all the solutions of the aforementioned equation for the cases
0<p<1 and p>1.
Submitted March 17, 2014. Published June 16, 2014.
Math Subject Classifications: 34K06, 34K11, 34K40.
Key Words: Neutral delay differential equation; oscillation;
characteristic equation
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Songbai Guo Department of Applied Mathematics, School of Mathematics and Physics University of Science and Technology Beijing Beijing 100083, China email: sonbguo@163.com | |
Wanbiao Ma Department of Applied Mathematics, School of Mathematics and Physics University of Science and Technology Beijing Beijing 100083, China email: wanbiao_ma@ustb.edu.cn | |
B. G. Sampath Aruna Pradeep Department of Applied Mathematics, School of Mathematics and Physics University of Science and Technology Beijing Beijing 100083, China email: sampath@maths.ruh.ac.lk |
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