Three comparison theorems are established for the oscillation of the second-order neutral differential equations of mixed type
![$$
\big(r(t)[x(t)+p_1(t)x(t-\sigma_1)+p_2(t)x(t+\sigma_2)]'\big)'
+q_1(t)x(t-\sigma_3) +q_2(t)x(t+\sigma_4)=0.
$$](gifs/aa.gif)
Our results are new even when
. An
example is provided to illustrate the main results.
Tongxing Li
Abstract:
Three comparison theorems are established for the oscillation
of the second-order neutral differential equations of mixed type
Our results are new even when
. An
example is provided to illustrate the main results.
Submitted October 22, 2010. Published November 24, 2010.
Math Subject Classifications: 34K11.
Key Words: Oscillation; neutral functional differential equations;
mixed type; second-order; comparison theorem.
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Tongxing Li School of Control Science and Engineering, Shandong University Jinan, Shandong 250061, China email: litongx2007@163.com |
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