简介:Inthispaperwediscussthediscrete,timenon--homogeneousdiscountedMarkoviandecisionprogramming,wherethestatespaceandallactionsetsarecountable.Supposethattheoptimumvaluefunctionisfinite.Wegivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.Supposethattheabsolutemeanofrewardsisrelativelybounded.Wealsogivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.
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.
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:<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:Ahigh-orderleap-frogbasednon-dissipativediscontinuousGalerkintime-domainmethodforsolvingMaxwell'sequationsisintroducedandanalyzed.Theproposedmethodcombinesacenteredapproximationfortheevaluationoffluxesattheinterfacebetweenneighboringelements,withaNth-orderleap-frogtimescheme.Moreover,theinterpolationdegreeisdefinedattheelementlevelandthemeshisrefinedlocallyinanon-conformingwayresultinginarbitrarylevelhangingnodes.ThemethodisprovedtobestableundersomeCFL-likeconditiononthetimestep.Theconvergenceofthesemi-discreteapproximationtoMaxwell'sequationsisestablishedrigorouslyandboundsontheglobaldivergenceerrorareprovided.Numericalexperimentswithhigh-orderelementsshowthepotentialofthemethod.