Abstract and Applied Analysis

Oscillation for Higher Order Dynamic Equations on Time Scales

Taixiang Sun, Qiuli He, Hongjian Xi, and Weiyong Yu

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Abstract

We investigate the oscillation of the following higher order dynamic equation: { a n ( t ) [ ( a n - 1 ( t ) ( ( a 1 ( t ) x Δ ( t ) ) Δ ) Δ ) Δ ] α } Δ + p ( t ) x β ( t ) = 0 , on some time scale T , where n 2 , a k ( t )    ( 1 k n ) and p ( t ) are positive rd-continuous functions on T and α , β are the quotient of odd positive integers. We give sufficient conditions under which every solution of this equation is either oscillatory or tends to zero.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 268721, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450351

Digital Object Identifier
doi:10.1155/2013/268721

Mathematical Reviews number (MathSciNet)
MR3108669

Zentralblatt MATH identifier
1298.34177

Citation

Sun, Taixiang; He, Qiuli; Xi, Hongjian; Yu, Weiyong. Oscillation for Higher Order Dynamic Equations on Time Scales. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 268721, 8 pages. doi:10.1155/2013/268721. https://projecteuclid.org/euclid.aaa/1393450351


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