简介：<正>Inthispaper,aclassoffunctionalsofKaplan-Meierestimatorisinvestigated.Countingprocessmartingalemethodsareusedtoshowtheasymptoticnormality,andweestablishameansquareerrorinequalityandaprobabilityinequalityofthemwithouttheassumptionthatF,Garecontinuous,whereF,Garesurvivaltimedistributionandcensoringtimedistributionrespectively.

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简介：InthispapermeproveanexplicitVcionovskvja-typeresultforlinearcombmationsoftheso-calledBDT-operators.

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简介：Inthisarticle,the2-variablegeneralpolynomialsaretakenasbasewithPeterspolynomialstointroduceafamilyof2-variablePetersmixedtypepolynomials.Thesepolynomialsareframedwithinthecontextofmonomialityprincipleandtheirpropertiesareestablished.Certainsummationformulaeforthesepolynomialsarealsoderived.Examplesofsomemembersbelongingtothisfamilyareconsideredandnumbersrelatedtosomemixedspecialpolynomialsarealsoexplored.

简介：ThedistributionofthePjateckli-Saplroprimenumbersinarithmeticprogresionsisinvestigated,andaBombiari-Vinogradovtypemean-valuetheoremandanotheralmostallresultconcerningthisproblemareestablished.

简介：Inthispaperweanalyzetheerrorbehaviorofgenerallinearmethodsappliedtosomeclassesofone-parametermultiplystiffsingularlyperturbedproblems.Weobtaintheglobalerrorestimateofalgebraicallyanddiagonallystablegenerallinearmethods.ThemainresultofthispapercanbeviewedasanextensionofthatobtainedbyXiao[13]forthecaseofRunge-Kuttamethods.

简介：二维的磁电机水动力学(MHD)方程在这篇文章被考虑。粘滞近似被用来获得古典答案的本地存在和唯一。什么时候粘滞术语消失，集中率，在骚乱的一个主要问题，也被讨论。而且，为我们的古典答案的一个发作标准以磁场被建立。给词调音：MHD方程；古典答案；集中率；发作标准

简介：Itisshownthatforawideclassofthescalarandvectorfunctionalequationsofthedelayandtheneutraltypeapositivesolutionexistsifandonlyifthelinearizedapproximatingequationsarenon-oscillatoryor,equivalently,thecharacteristicequationsoftheselinearequationshavearealroot.

简介：Inthisarticle,theexistenceanduniquenessofpositivesolutionforaclassofnonlinearfractionaldifferentialequationsisprovedbyconstructingtheupperandlowercontrolfunctionsofthenonlineartermwithoutanymonotonerequirement.OurmainmethodtotheproblemisthemethodofupperandlowersolutionsandSchauderfixedpointtheorem.Finally,wegiveanexampletoilluminateourresults.

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简介：图G的导致的路径数字(G)被定义为G的顶点集合能被划分成的子集的最小的数字以便每个子集导致一条路径。Broere等。如果G是顺序n的一张图，证明了那，那么$\sqrtn\leqslant\rho\left(G\right)+\rho\left({\barG}\right)\leqslant\left\lceil{\tfrac{{3n}}{2}}\right\rceil$。在这份报纸，我们描绘图G为哪个$\rho\left(G\right)+\rho\left({\barG}\right)=\left\lceil{\tfrac{{3n}}{2}}\right\rceil$，在$\rho\left(G\right)上改进更低的界限+\rho\left({\barG}\right)$在一个当n是一个奇怪的整数的平方时，并且为$\rho\left(G\right)决定最好的可能的上面的界限+\rho\left({\barG}\right)$当既不G也不$\barG$孤立顶点时。

简介：1.IntroductionConsidertheinitialvalueproblemwhichisassumedtohaveauniquesolutiony(t)ontheinterval[0,+co).Forsolving(1.1),considerthes--stageimplicitRunge-Kutta(IRK)methodandthes-stagemono-implicitRunge-Kutta(MIRK)method{2,51swhereh)0isthestepsize,hi,c...

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简介：Wepresentaseriesofachievementsassociatedtothetransferofsimulationtechnologiestothebio-medicalenvironment.WeshowalsohowthenovelcollaborativeorganizationbuiltaroundGeant4haschangedthetraditionalconceptoftechnologytransferbetweentheHEPdomainandthebio-medicalenvironment,configuringatwo-wayinteraction.

简介：Thispaperstudiesthepropertiesofsolutionsofquasilinearequationsinvolvingthep-laplaciantypeoperatoringeneralCarnot-Carath6odoryspaces.Theauthorsshowsomecom-parisonresultsforsolutionsoftherelevantdifferentialinequalitiesandusethemtogetsomesymmetryandmonotonicitypropertiesofsolutions,inboundedorunboundeddomains.