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2013 Oscillation for Higher Order Dynamic Equations on Time Scales
Taixiang Sun, Qiuli He, Hongjian Xi, Weiyong Yu
Abstr. Appl. Anal. 2013(SI55): 1-8 (2013). DOI: 10.1155/2013/268721

Abstract

We investigate the oscillation of the following higher order dynamic equation: {an(t)[(an-1(t)((a1(t)xΔ(t))Δ)Δ)Δ]α}Δ+p(t)xβ(t)=0, on some time scale T, where n2, ak(t) (1kn) 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.

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Taixiang Sun. Qiuli He. Hongjian Xi. Weiyong Yu. "Oscillation for Higher Order Dynamic Equations on Time Scales." Abstr. Appl. Anal. 2013 (SI55) 1 - 8, 2013. https://doi.org/10.1155/2013/268721

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1298.34177
MathSciNet: MR3108669
Digital Object Identifier: 10.1155/2013/268721

Rights: Copyright © 2013 Hindawi

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