## Abstract and Applied Analysis

### Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales

#### Abstract

Using functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form ${(r(t){({x}^{\mathrm{\Delta }}(t))}^{\gamma })}^{\mathrm{\Delta }}+p(t)({x}^{\mathrm{\Delta }}{(t)}^{\gamma })+f(t,x(g(t)))=0$. Two examples are included to show the significance of the results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 964239, 11 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412273244

Digital Object Identifier
doi:10.1155/2014/964239

Mathematical Reviews number (MathSciNet)
MR3186992

Zentralblatt MATH identifier
07023412

#### Citation

Qiu, Yang-Cong; Wang, Qi-Ru. Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales. Abstr. Appl. Anal. 2014 (2014), Article ID 964239, 11 pages. doi:10.1155/2014/964239. https://projecteuclid.org/euclid.aaa/1412273244

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