Nonoscillatory Solutions for Higher‐Order Neutral Dynamic Equations on Time Scales

Taixiang Sun, Hongjian Xi, Xiaofeng Peng and Weiyong Yu

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We study the higher‐order neutral dynamic equation {a(t)[(x(t)−p(t)x(τ(t)))Δm]α} Δ+f(t,x(δ(t)))=0 for t∈[t0,∞) 𝕋 and obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.

Date: 2010
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https://doi.org/10.1155/2010/428963

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:428963

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