Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales-Reference-Cited by-同舟云学术

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

Published:2010 Issue: Volume:2010 Page:1-16
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Sun Taixiang¹,Xi Hongjian²,Peng Xiaofeng¹,Yu Weiyong¹

Affiliation:

1. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China

2. Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, China

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)))=0fort∈[t0,∞)Tand obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/428963.pdf

Reference29 articles.

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2. Universitext,2002

3. Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales

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