资源描述：
《三阶微分方程解的振动性》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、•H“‰ŒÆa¬ÆØ©AbstractTheoscillationofthesolutionsofdifferentialequationisagreattheoreticalsignificanceinmodernmathematics,andtheoscillationofthesolutionshaswidelyapplicationvalueintheresearchdirection.Onthebaseofequations,wecandealwithmanydifferentialequationsproblemswithanu
2、mberofgeneraltheoryandmethod.Itsrichtheoryandadvancedmethodhaveprovidedtheeffectivetheorytoolforsolvingautomaticcontrol,thedesignofvariouskindsofelectronicsdevices,ballisticcalculationandthestabilityoftheaircraftandmissileflightintheresearch,thestabilityofthechemicalreact
3、ionprocessresearch,demographicsandsoon.Problemscanbeturnedintosolutionofdifferentialequation,ortostudythepropertiesofthesolutionoftheproblem.Theapplicationofthetheoryofordinarydifferentialequationshasmadegreatachievements.Butthetheoryisfarfromsatisfytheneedofitsexisting,s
4、ubjecttofurtherdevelopment,isthetheoryofthesubjectwillbeimproved.Atpresent,thecontentofdifferentialequationsmainlyhavetonormaldif-ferentialequationstheory,partialdifferentialequationstheory,thestabilityandapplicationofdifferentialequations,Hamiltoniansystemstheory,different
5、ialop-eratortheoryandsoon.Inrecentyearsdifferentialequationshavereceivedhighlyattentionofthedomesticandforeignmathematicsandnaturalsciencefield,sotheresearchondifferentialequationstheoryanditsapplicationsisveryimportantinboththeoryandapplications.Theproblemsontheoscillatio
6、nofthird-orderdifferentialequationsareim-portantsubjectsinthetheoryofdifferentialequations.Owingtotheimportantinboththeoryandinapplications,third-orderdifferentialequations’problemshavebeenattractedmanyresearchers,andsomeresultshavebeenobtained.Un-dertheimpetusofdifferentia
7、lequationsandpracticalproblems,thedevelopmentoftheresearchonthethird-orderdifferentialequationsisrapid.However,theproblemsontheoscillationofthird-orderdifferentialequationsarethehotspotwhichhavediscussedinrecentyears.Inthisarticle,wemainlyinvestigatetheoscillationbehavior
8、ofthethird-orderneutraldifferentialequations,theoscillationbehaviorofthird-orderdelaydifferentialequationsandthe
