## Abstract and Applied Analysis

### Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

#### Abstract

This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form ${(r(t){((y(t)+p(t)y(\tau (t)){)}^{\mathrm{\Delta }})}^{\gamma })}^{\mathrm{\Delta }}+{f}_{1}(t,y({\delta }_{1}(t)))+{f}_{2}(t,y({\delta }_{2}(t)))=0$ on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 743469, 20 pages.

Dates
First available in Project Euclid: 28 March 2013

https://projecteuclid.org/euclid.aaa/1364475952

Digital Object Identifier
doi:10.1155/2012/743469

Mathematical Reviews number (MathSciNet)
MR2999899

Zentralblatt MATH identifier
1261.34071

#### Citation

Zhang, Shao-Yan; Wang, Qi-Ru. Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales. Abstr. Appl. Anal. 2012 (2012), Article ID 743469, 20 pages. doi:10.1155/2012/743469. https://projecteuclid.org/euclid.aaa/1364475952

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