简介：Recently,Cristofaro-GardinerandHutchingsprovedthatthereexistatleasttwoclosedcharacteristicsoneverycompactstar-shapedhypersufaceinR~4.ThenGinzburg,Hein,Hryniewicz,andMacarinigavethisresultasecondproof.Inthispaper,wegiveitathirdproofbyusingindexiterationtheory,resonanceidentitiesofclosedcharacteristicsandaremarkabletheoremofGinzburgetal.

简介：在这篇论文，一个新有点轮流出现的方向含蓄(ADI)Crank-Nicolson-type直角的花键搭配(振荡)方法为二维的部分进化方程被提出，一个弱单个的核在线性粘弹性的理论产生。新奇振荡方法被用于空间discretization，和与部分照统治为时间的部件被考虑的第二份订单相结合的ADICrank-Nicolson-type方法。建议计划的稳定性rigourously被建立，并且将近最佳的顺序错误估计也被导出。数字实验被进行支持预言的集中率并且也展出期望的超级集中的现象。

简介：Inthisarticle,theauthorsshowtheexistenceofglobalsolutionoftwo-dimensionalviscousCamassa-Holm(Navier-Stokes-alpha)(NS-α)equations.TheauthorsalsoprovethatthesolutionoftheNS-αequationsconvergestothesolutionofthe2DNSequationsintheinviscidlimitandgivetheconvergencerateofthedifferenceofthesolution.

简介：1.IntroductionThetwcawayerrorcomponentregressionmodelmsybeexpressedasif=o+

简介：Thisarticleprovestheexistenceanduniquenessofsolutiontotwo-parameterstochasticVolterraequationwithnon-LipschitzcoefficientsanddrivenbyBrowniansheet,wherethemaintoolisBihari'sinequalityintheplane.Moreover,wealsodiscussthetimeregularitypropertyofthesolutionbyKolmogorov'scontinuitycriterion.

简介：Invariantsubspacemethodisexploitedtoobtainexactsolutionsofthetwocomponentb-familysystem.Itisshownthatthetwo-componentb-familysystemadmitsthegeneralizedfunctionalseparablesolutions.Furthermore,blowupandbehaviorofthoseexactsolutionsarealsoinvestigated.

简介：Inthisarticle,weconsideratwo-componentnonlinearshallowwatersystem,whichincludesthefamous2-componentCamassa-HolmandDegasperis-Procesiequationsasspecialcases.Thelocalwell-posedessforthisequationsisestablished.Somesufficientconditionsforblow-upofthesolutionsinfinitetimearegiven.Moreover,byseparationmethod,theself-similarsolutionsforthenonlinearshallowwaterequationsareobtained,andwhichlocalorglobalbehaviorcanbedeterminedbythecorrespondingEmdenequation.

简介：Inthisarticle,weintroduceanewviscosityiterativemethodfortwononexpansivemappingsinHilbertspaces.Wealsoprove,withoutcommutativityassumption,thattheiteratesconvergetoacommonfixedpointofthemappingswhichsolvessomevariationalinequality.TheresultspresentedextendthecorrespondingresultsofShimizuandTakahashi[T.Shimizu,W.Takahashi,Strongconvergencetocommonfixedpointoffamiliesofnonexpansivemappings,J.Math.Anal.Appl.211(1997),71-83],andYaoandChen[Y.Yao,R.Chen,ConvergencetocommonfixedpointsofaveragemappingswithoutcommutativityassumptioninHilbertspaces,NonlinearAnalysis67(2007),1758-1763].

简介：Forapairofnodess,tinanundirectedgraphG=(V,A)andagivenlevelUofallowabledelay,wewouldliketomodifythenetworkbynode-basedoredge-basedupgradingstrategiestomakethedelaybetweensandtnotgreaterthanU.Inthispaper,wepresentsomeNP-hardresultsforthedelayimprovementproblems.

简介：

简介：ThethreespeciesLotka-Volterraperiodicmodelwithtwopredatorsandonepreyisconsidered.Asetofeasilyverifiablesufficientconditionsisobtained.Finally,anexampleisgiventoillustratethefeasibilityoftheseconditious.

简介：Anon-autonomouscompetingsystemisinvestigatedinthispaper,wherethespeciesxcandiffusebetweentwopatchesofaheterogeneousenvironmentwithbarriersbetweenpatches,butforspeciesy,thediffusiondoesnotinvolveabarrierbetweenpatches,furtheritisassumedthatalltheparametersaretimedependent.Itisshownthatthesystemcanbemadepersistentundersomeappropriateconditions.Moreover,sufficientconditionsthatguaranteetheexistenceofauniquepositiveperiodicorbitwhichisgloballyasymptoticstablearederived.

简介：在这份报纸，我们关于詹姆士常数考虑下列问题：什么时候做平等J(X*)为Banach空间X的=J(X)抓住？一个Banach空格的詹姆士常数不一般来说与它的双空间的与一致，这被知道。事实上，我们已经有与对称或绝对的标准被装备的二维的normed空格的反例。然而，我们看那二维的空间X上的标准是否对称、绝对，然后平等J(X*)=J(X)抓住。这在二维的盒子中提供一个全球答案给这个问题。

简介：Weintroduceaone-stepimplicititerativemethodfortwofinitefamiliesofasymp-toticallynonexpansivemappingsinahyperbolicspaceanduseittoapproximatecommonfixedpointsofthesefamilies.Theresultspresentedinthispaperarenewinthesettingofhyperbolicspaces.Ontop,thesearegeneralizationsofseveralresultsinliteraturefromBanachspacestohyperbolicspaces.Attheendofthepaper,wegiveanexampletovalidateourresults.

简介：Thispaperconsidersaschedulingproblemintwo-stagehybridflowshop,wherethefirststageconsistsoftwomachinesformedanopenshopandtheotherstagehasonlyonemachine.Theobjectiveistominimizethemakespan,i.e.,themaximumcompletiontimeofalljobs.WefirstshowtheproblemisNP-hardinthestrongsense,thenwepresenttwoheuristicstosolvetheproblem.Computationalexperimentsshowthatthecombinedalgorithmofthetwoheuristicsperformswellonrandomlygeneratedprobleminstances.

简介：有牛顿重复的一个新decoupled二系结算法为解决描述通过多孔的媒介过滤的液体流动的联合Navier-Stokes/Darcy模型被建议。而且错误估计被给，当时，它证明精确性的一样的顺序能作为在好网孔直接解决系统被完成h=H2。理论分析和数字实验为解决联合问题说明算法的效率。

简介：

简介：Cahn-Hilliard阶段地的数字近似当模特儿因为二阶段的不可压缩的流动在这份报纸被考虑。几有效并且为联合非线性的Cahn-Hilliard阶段地的精力马厩时间discretization计划为匹配的密度盒子和变量的系统密度大小写被构造，并且被显示满足类似于连续精力法律的分离精力法律。

简介：Epidemiologicstudiesuseoutcome-dependentsampling(ODS)schemeswhere,inadditiontoasimplerandomsample,therearealsoanumberofsupplementsamplesthatarecollectedbasedonoutcomevariable.ODSschemeisacost-effectivewaytoimprovestudyefficiency.Wedevelopamaximumsemiparametricempiricallikelihoodestimation(MSELE)fordatafromatwo-stageODSschemeundertheassumptionthatgivencovariate,theoutcomefollowsagenerallinearmodel.Theinformationofbothvalidationsamplesandnonvalidationsamplesareused.Whatismore,weprovetheasymptoticpropertiesoftheproposedMSELE.

简介：