OscillationofaClassofSecondOrderNonlinear NeutralDifferenceEquations

• 作者: LIUXingyuan YANGJia shan
• 来源期刊: 昆明理工大学学报（自然科学版）
• 学科: 数学
• 年，卷（期）: 2012,（5）
• 页码范围: 88-94
• 分类号: O175.7
• 语种: 中文
• DOI: 10.3969/j.issn.1007-855x.2012.05.016

摘要

Thispaperdiscussestheoscillationofaclassofsecondordernonlinearneutraldelaydifferenceequationwithpositiveandnegativecoefficients.UsingthefixedpointtheoreminBanachspace,andbyintroducing parameterfunctionandthegeneralizedRiccatitransformationandsomenecessaryanalytictechniques,somenew nonoscillationcriteriafortheequationareobtained.Inaddition,asufficientconditionfortheoscillationoftheequationisproposed.Someexistingresultsintheliteraturesarefurtherimprovedandextended.Examplesare presentedtoillustratetheeffectsofthetheorems.