Abstract
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and . These oscillation criteria, at least in some sense, complement and improve those of Zafer (1998) and Zhang et al. (2010). An example is considered to illustrate the main results.
Highlights
This paper is concerned with the oscillatory behavior of the even-order neutral delay differential equations zt n qtf xσt
There are many studies that have been made on the oscillatory behavior of solutions of differential equations 2–6 and neutral delay differential equations 7–23
Grammatikopoulos et al 10 examined the oscillation of second-order neutral delay differential equations xtptxt − τqtxt − σ 0, t ≥ t0, 1.2 where 0 ≤ p t < 1
Summary
This paper is concerned with the oscillatory behavior of the even-order neutral delay differential equations zt n qtf xσt0, t ≥ t0, 1.1 where n is even ztxtptxτt. This paper is concerned with the oscillatory behavior of the even-order neutral delay differential equations zt n qtf xσt Neutral differential equations find numerous applications in natural science and technology. There are many studies that have been made on the oscillatory behavior of solutions of differential equations 2–6 and neutral delay differential equations 7–23 .
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