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2010 Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales
Taixiang Sun, Hongjian Xi, Xiaofeng Peng, Weiyong Yu
Abstr. Appl. Anal. 2010: 1-16 (2010). DOI: 10.1155/2010/428963

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.

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Taixiang Sun. Hongjian Xi. Xiaofeng Peng. Weiyong Yu. "Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales." Abstr. Appl. Anal. 2010 1 - 16, 2010. https://doi.org/10.1155/2010/428963

Information

Published: 2010
First available in Project Euclid: 1 November 2010

MathSciNet: MR2720026
zbMATH: 1205.34136
Digital Object Identifier: 10.1155/2010/428963

Rights: Copyright © 2010 Hindawi

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