Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Oscillation criteria for quasi-linear neutral delay dynamic equations on time scale

In: Mathematica Slovaca, vol. 66, no. 1
Qiaoshun Yang - Zhiting Xu - Ping Long
Detaily:
Rok, strany: 2016, 185 - 196
Kľúčové slová:
oscillation, neutral dynamic equation, time scale
O článku:
In this paper, we consider the oscillation for the second-order quasi-linear neutral dynamic equation

$$ (r(t)|ZΔ(t)|α-1ZΔ(t))Δ +q(t)|x(δ(t))|β-1x(δ(t))=0. $$

on time scale $\T$, where $Z(t)=x(t)+p(t)x(τ(t))$, $α,β>0$ are constants. We establish some new oscillation criteria and give sufficient conditions to insure that all solutions of quasi-linear neutral dynamic equation are oscillatory on time scale $\mathbb{T}$. The new oscillation criteria are presented that improve some known results in the literature.
Ako citovať:
ISO 690:
Yang, Q., Xu, Z., Long, P. 2016. Oscillation criteria for quasi-linear neutral delay dynamic equations on time scale. In Mathematica Slovaca, vol. 66, no.1, pp. 185-196. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0128

APA:
Yang, Q., Xu, Z., Long, P. (2016). Oscillation criteria for quasi-linear neutral delay dynamic equations on time scale. Mathematica Slovaca, 66(1), 185-196. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0128
O vydaní:
Publikované: 1. 2. 2016