Abstract and Applied Analysis

On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales

Abstract

We discuss oscillation criteria for second-order half-linear neutral delay dynamic equations on time scales by using the generalized Riccati transformation and the inequality technique. Under certain conditions, we establish four new oscillation criteria. Our results in this paper are new even for the cases of $\mathrm{\Bbb T}=\Bbb R$ and $\mathrm{\Bbb T}=\Bbb Z$.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 321764, 11 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412606727

Digital Object Identifier
doi:10.1155/2014/321764

Mathematical Reviews number (MathSciNet)
MR3206778

Zentralblatt MATH identifier
07022167

Citation

Zhang, Quanxin; Song, Xia. On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 321764, 11 pages. doi:10.1155/2014/321764. https://projecteuclid.org/euclid.aaa/1412606727

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