Abstract and Applied Analysis

Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales

Xin Wu, Taixiang Sun, Hongjian Xi, and Changhong Chen

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Abstract

We establish some new oscillation criteria for nonlinear dynamic equation of the form ( a ( t ) ( b ( t ) ( c ( t ) x Δ ( t ) ) Δ ) Δ ) Δ + q ( t ) f ( x ( σ ( t ) ) ) = 0 on an arbitrary time scale T with s u p T = , where a ( t ) , b ( t ) , c ( t ) are positive rd-continuous functions. An example illustrating the importance of our result is included.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 740568, 11 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450262

Digital Object Identifier
doi:10.1155/2013/740568

Mathematical Reviews number (MathSciNet)
MR3081592

Zentralblatt MATH identifier
1375.34129

Citation

Wu, Xin; Sun, Taixiang; Xi, Hongjian; Chen, Changhong. Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 740568, 11 pages. doi:10.1155/2013/740568. https://projecteuclid.org/euclid.aaa/1393450262


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