On the oscillation for \(n\)th-order nonlinear neutral delay dynamic equations on time scales

Volume 11, Issue 7, pp 937--946 http://dx.doi.org/10.22436/jnsa.011.07.06
Publication Date: May 24, 2018 Submission Date: June 29, 2017 Revision Date: January 11, 2018 Accteptance Date: April 11, 2018

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.


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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


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