Abstract and Applied Analysis

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

Yang-Cong Qiu and Qi-Ru Wang

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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 Δ ( t ) ) γ ) Δ + p ( t ) ( x Δ ( t ) γ ) + 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

Permanent link to this document
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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