Oscillation of second-order Emden-Fowler neutral delay differential equations
In this article, we establish new oscillation criteria for the second-order Emden-Fowler neutral delay differential equation $$ \Big(r(t)|z'(t)|^{\alpha-1}z'(t)\Big)'+q(t)|x(\sigma(t))|^{\beta-1} x\big(\sigma(t)\big)=0, $$ where $z(t)=x(t)+p(t)x(\tau(t)), \alpha>0$ and $\beta...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/159/abstr.html |
| Summary: | In this article, we establish new oscillation criteria for the second-order
Emden-Fowler neutral delay differential equation
$$
\Big(r(t)|z'(t)|^{\alpha-1}z'(t)\Big)'+q(t)|x(\sigma(t))|^{\beta-1}
x\big(\sigma(t)\big)=0,
$$
where $z(t)=x(t)+p(t)x(\tau(t)), \alpha>0$ and $\beta>0$.
Our results improve some well-known results which were published recently
in the literature. Some illustrative examples are also provided to show
the significance of our results. |
|---|---|
| ISSN: | 1072-6691 |