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, 1-16

Abstract:

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

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:428963

DOI: 10.1155/2010/428963

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