On the oscillation for \(n\)th-order nonlinear neutral delay dynamic equations on time scales
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Authors
Yaru Zhou
- College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P. R. China.
Zhanhe Chen
- College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P. R. China.
Taixiang Sun
- Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, P. R. China.
Abstract
In this paper, we investigate the solution's oscillation of \(n\)th-order nonlinear dynamic equation
\[[a_{n}(t)((a_{n-1}(t)(\cdots(a_{1}(t)(x(t)-p(t)x(\tau(t)))^{\Delta})^{\alpha_{1}})^{\Delta} \cdots)^{\Delta})^{\alpha_{n}}]^{\Delta}+f(t,x(\delta(t)))=0\]
on a time scale \(\mathbb{T}\) with \(n\geq 2\). We give some conditions for the oscillation of the above equation.
Share and Cite
ISRP Style
Yaru Zhou, Zhanhe Chen, Taixiang Sun, On the oscillation for \(n\)th-order nonlinear neutral delay dynamic equations on time scales, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 7, 937--946
AMA Style
Zhou Yaru, Chen Zhanhe, Sun Taixiang, On the oscillation for \(n\)th-order nonlinear neutral delay dynamic equations on time scales. J. Nonlinear Sci. Appl. (2018); 11(7):937--946
Chicago/Turabian Style
Zhou, Yaru, Chen, Zhanhe, Sun, Taixiang. "On the oscillation for \(n\)th-order nonlinear neutral delay dynamic equations on time scales." Journal of Nonlinear Sciences and Applications, 11, no. 7 (2018): 937--946
Keywords
- Oscillation
- dynamic equation
- time scale
MSC
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