Nonoscillatory solutions for higher-order neutral dynamic equations on time scales
type: Item
instance of: scholarly article
title: Nonoscillatory solutions for higher-order neutral dynamic equations on time scales
zbMATH Open document ID: 1205.34136
DOI: 10.1155/2010/428963
author: Taixiang Sun
author: Hongjian Xi
author: Weiyong Yu
author: Xiaofeng Peng
published in: Abstract and Applied Analysis
publication date: 2010-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/223635
review text: Summary: We study the higher-order neutral dynamic equation \[ \{a(t)[(x(t)-p(t)x(\tau(t)))^{\Delta^m}]^\alpha\}^\Delta+f(t,x(\rho(t)))=0\text{ for }t\in[t_0,\infty)_{\mathbb T} \] and obtain some necessary and sufficient conditions for the existence of nonoscillatory bounded solutions for this equation.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 5791623
Wikidata QID: Q58649853
MaRDI profile type: Publication
OpenAlex ID: W2036455279
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description: scientific article; zbMATH DE number 5791623