具有逐段常值變元邏輯方程的振動性和全局吸引性.pdf

1、山西大學碩士學位論文具有逐段常值變元邏輯方程的振動性和全局吸引性姓名：王振芳申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：柴樹根20060601OscillationandGlobalAttractivityofLogisticEquationswithPiecewiseConstantArgumentsWangZhenfang(FundamentalMathematics)DirectedbyChaiShugenABSTRACTWitht

2、hedevelopmentofscienceandtechnologyfunctionaldifferentialequationgraduallycombinedcloselywithmanyresearchesindifferentfields，suchas，continuousmechanics，communityecologyelectricityautomaticcontrol，economicmathematicalandS

3、OonAsmanyphenomenoninworldcanbetranslatedintofunctionaldifferentialequationandsolvedwithit，itdefinitelyhassignificancebothintheoryandrealityThispaperconsistsofthreechaptersThefirstchapterintroducesthedevelopmentoffunctio

4、naldifferentialequationandtheproblems，whichwillbeconsideredinthisthesisThesecondchapterdiscussestheoscillationofthefollowinglogisticequationswithpiecewiseconstantargumentsN70)=ⅣO)(日bN90一，)一cN9(t—1)dN9(p一七])一刀V9(口一后]))Wee

5、xtendtheresultsinsomeliteraturesandobtainsomenecessaryandsufficientconditionsfortheoscillationoftheabovelogisticequationswithpiecewiseconstantargumentsInChapter3，westudytheglobalattractivityoflogisticequationswithpiecewi