Geodesic
On the oscillation for $n$th-order nonlinear neutral delay dynamic equations on time scales
Zhou, Yaru 1 ; Chen, Zhanhe 1 ; Sun, Taixiang 2
1 College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P. R. China
2 Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, P. R. China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 7, p. 937-946.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.011.07.06
Classification : 34N05, 34K11, 39A21
Keywords: Oscillation, dynamic equation, time scale

Zhou, Yaru  1 ; Chen, Zhanhe  1 ; Sun, Taixiang  2

1 College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, P. R. China
2 Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, P. R. China 
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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 its applications, Tome 11 (2018) no. 7, p. 937-946. doi : 10.22436/jnsa.011.07.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.07.06/

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