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2013 Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales
Xin Wu, Taixiang Sun, Hongjian Xi, Changhong Chen
Abstr. Appl. Anal. 2013(SI25): 1-11 (2013). DOI: 10.1155/2013/740568

Abstract

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

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Xin Wu. Taixiang Sun. Hongjian Xi. Changhong Chen. "Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales." Abstr. Appl. Anal. 2013 (SI25) 1 - 11, 2013. https://doi.org/10.1155/2013/740568

Information

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

zbMATH: 1375.34129
MathSciNet: MR3081592
Digital Object Identifier: 10.1155/2013/740568

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI25 • 2013
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