简介：Inthispaperwediscussthediscrete,timenon--homogeneousdiscountedMarkoviandecisionprogramming,wherethestatespaceandallactionsetsarecountable.Supposethattheoptimumvaluefunctionisfinite.Wegivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.Supposethattheabsolutemeanofrewardsisrelativelybounded.Wealsogivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.

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简介：Theauthorsconsiderednon-convolutiontypeoscillatorysingularintegraloperatorswithreal-analyticphases.AuniformboundednessfromHKptoHpofsuchoperatorsisestablished.TheresultisfalseforgeneralCphases.

简介：Theexistenceofapathwiseuniquestrongsolutionforthestochasticdifferentialequation(S.D.E.)withPoissonjumpsinn-dimensionalspacewithoutcontinuityassumptionondriftcoefficient,whichevencanbegreaterthanlineargrowth,andwithoutLipschitzconditionondiffusioncoefficientsisobtained.ThentheexistenceofapathwisestochasticoptimalBang-Bangcontrolforaverymuchnon-linearsystemwithPoissonjumpsinn-dimensionalspaceisderived.Theresultisalsoappliedtoobtainamaximumlikelihoodestimate(MLE)ofparameterforsomecontinuous,S.D.E.withnon-Lipschitzoeffieientsinn-dimensionalspace.

简介：Weestablishseveralfundamentalidentities,includingrecurrencerelations,degreeelevationformulas,partitionofunityandMarsdenidentity,forquantumBernsteinbasesandquantumBeziercurves.WealsodeveloptwotermrecurrencerelationsforquantumBernsteinbasesandrecursiveevaluationalgorithmsforquantumBeziercurves.Ourproofsusestandardmathematicalinductionandotherelementarytechniques.

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简介：由使用上面、更低的答案和固定的点定理，我们在Banach空间与不连续的条款给非线性的秒顺序的存在定理平常的微分方程。

简介：在这篇论文，有连续分布式的延期的一个非线性的非自治的食肉动物猎物分散模型被学习，在所有参数是时间依赖者的地方。在由n补丁组成的这个系统，猎物种类能在n补丁之中分散，但是食肉动物种类被限制到一个补丁；不能分散。系统在任何分散率效果下面是一致地坚持的，这被证明。而且，一些足够的条件为系统的一个唯一的几乎周期的答案的存在被建立。例子证明在纸的标准是新的，一般；容易可证实。

简介：Theunsteadyflowofviscousincompressibleshear-thinningnon-Newtonianfluidwithmixedboundaryisinvestigated.Theboundaryconditionontheoutflowisthemodifiednaturalboundarycondition,itcontainstheadditionalnonlinearterm,whichenablesustocontrolthekineticenergyofthebackwardflow.Theglobalexistenceofweaksolutionisproved.Thefictitiousdomainmethodwhichconsistsinfillingthemovingrigidscrewswiththesurroundingfluidandtakingintoaccounttheboundaryconditionsonthesebodiesbyintroducingawell-chosendistributionofboundaryforcesisused.

简介：让X是有有限措施的同类的类型的一个空格。让T是在L~p(X)上被围住的一个单个不可分的操作员，1

简介：<正>WestudythesolvabilityoftheCauchyproblem（1.1）-（1.2）forthelargestpossibleclassofinitialvalues,forwhich（1.1）-（1.2）hasalocalsolution.Moreover,wealsostudythecriticalcaserelatedtotheinitialvalueu0,for1

简介：TheaimofthispaperistogiveupperboundsofthenormoftheoperatorandassociatederrorforaLagrangeinterpolationproblembyC~1quadraticsplines.Thedomainisrectangularandthetype-2triangulationisnon--uniform.Moreoverthelocationofdatapointsallowsaverysimplecompationoftheinterpolant.

简介：让(Y，d，dl)\left({\mathcal{Y}，d，d\lambda}\right)(n，|

简介：Ahigh-orderleap-frogbasednon-dissipativediscontinuousGalerkintime-domainmethodforsolvingMaxwell'sequationsisintroducedandanalyzed.Theproposedmethodcombinesacenteredapproximationfortheevaluationoffluxesattheinterfacebetweenneighboringelements,withaNth-orderleap-frogtimescheme.Moreover,theinterpolationdegreeisdefinedattheelementlevelandthemeshisrefinedlocallyinanon-conformingwayresultinginarbitrarylevelhangingnodes.ThemethodisprovedtobestableundersomeCFL-likeconditiononthetimestep.Theconvergenceofthesemi-discreteapproximationtoMaxwell'sequationsisestablishedrigorouslyandboundsontheglobaldivergenceerrorareprovided.Numericalexperimentswithhigh-orderelementsshowthepotentialofthemethod.

简介：在现在的纸，我们声明有关为非卷绕旋转的一个类的pointwise集中和它的率的一些近似定理打形式的非线性的不可分的操作员：