二階反序時滯微分方程和反序φ-Laplace周期解存在的最優(yōu)條件.pdf

1、東北師范大學碩士學位論文二階反序時滯微分方程和反序φLaplace周期解存在的最優(yōu)條件姓名：左文杰申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：蔣達清20040501AbstractInthispaper，weshowthatthemonotoneiterativetechniqueproducestwomonotonesequencesthatconvergeuniformlytoextremalSO—lutionsfortheperio

2、dicsecond—orderdelaydifferentialequationandperiodicdelay≯一laplaceequationMoreover，weobtainoptimalexistenceconditionswithupperandlowersolutionsinthereverseorderWeconsiderthefollowingsecondorderdelaydifferentialequation曠(t

3、)=f(t，Ⅳ(t)，y(t—r)，yl(￡))，Vt∈R，wheref(t，11，口，W)：R4_Risacontinuousfunction，andf(tT，u，“，W)=f(t，u，％甜)，T0，7_0Inthispaper，westudythescalarT—periodicproblem：一面d刪(t))；坤，㈣，u(t—r))，t∈R，wheref(t，t正，釘)：R3_Risacontinuousfunction，andf