Da-Xue Chen and Guang-Hui Liu
Oscillation Criteria for Nonlinear Secondorder Damped Delay Dynamic Equations on Time Scales
185 - 192
2010
4
1
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/10351
https://publications.waset.org/vol/37
World Academy of Science, Engineering and Technology
In this paper, we establish several oscillation criteria for the nonlinear secondorder damped delay dynamic equation r(t)x&Delta;(t)&beta;1x&Delta;(t)&Delta; p(t)x&Delta;&sigma;(t)&beta;1x&Delta;&sigma;(t) q(t)f(x(&tau; (t))) 0 on an arbitrary time scale T, where &beta; &gt; 0 is a constant. Our results generalize and improve some known results in which &beta; &gt; 0 is a quotient of odd positive integers. Some examples are given to illustrate our main results.
Open Science Index 37, 2010