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

Xin Wu, Taixiang Sun, Hongjian Xi and Changhong Chen

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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 sup T = ∞, where a(t), b(t), c(t) are positive rd‐continuous functions. An example illustrating the importance of our result is included.

Date: 2013
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https://doi.org/10.1155/2013/740568

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