简介：

简介：让M是增加由的操作符在在开的单位磁盘上分析的函数的一个Hilbert空格。为为增加操作员Mz的不变的subspaceF，我们导出一些光谱增加操作员M的性质：FF。当F与n有codimensionn性质时，我们描绘标准，光谱，必要标准和如此的操作员的必要光谱{1，2，，+}。

简介：

简介：Inthispaper,LorentzspaceoffunctionsofseveralvariablesandBesov’sclassareconsidered.WeestablishanexactapproximationorderofBesov’sclassbypartialsumsofFourier’sseriesformultipletrigonometricsystem.

简介：Anewsmoothgapfunctionfortheboxconstrainedvariationalinequalityproblem(VIP)isproposedbasedonanintegralglobaloptimalitycondition.Thesmoothgapfunctionissimpleandhassomegooddifferentiableproperties.TheboxconstrainedVIPcanbereformulatedasadifferentiableoptimizationproblembytheproposedsmoothgapfunction.Theconditions,underwhichanystationarypointoftheoptimizationproblemisthesolutiontotheboxconstrainedVIP,arediscussed.Asimplefrictionalcontactproblemisanalyzedtoshowtheapplicationsofthesmoothgapfunction.Finally,thenumericalexperimentsconfirmthegoodtheoreticalpropertiesofthemethod.

简介：Structuraloptimizationforcrashworthinesscriteriaisofparticularsignificanceespeciallyatearlystageofdesign.ThecomparativestudyofKrigingandradialbasisfunctionnetwork(RBFN)wasperformedinordertoimprovethecrashworthinesseffectsofhoneycomb.ImprovingthecrashworthinesscharacteristicofhoneycombwasachievedusingLS-OPTanddomainreductionstrategy.Thisoptimizationisperformedonthebasisofvalidatednumericalsimulationtoestablishtheapproximatedmodeltoillustratetherelationshipbetweentheresponsesanddesignvariables.TheresultsshowedthatKrigingmeta-modelisexcelledinaccuracy,robustnessandefficiencycomparedtoradialbasisfunction(RBF)andcrashworthinesscharacteristicofhoneycombisimprovedby4%.