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

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.

Bibliographic Details
Main Authors: Taixiang Sun, Hongjian Xi, Xiaofeng Peng, Weiyong Yu
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/428963