简介:ANINTERSECTIONPROPERTYOFTHESIMPLERANDOMWALKSINZ ̄dZHOUXIANYIN(DepartmentofMathematics,BeijingNormalUniversity100875,China)Abst...
简介:Thispaperderivesfirstordernecessaryandsufficientconditionsforunconstrainedconed.c.Programmingproblemswheretheunderlinedspaceispartiallyorderedwithrespecttoacone.Theseconditionsaregivenintermsofdirectionalderivativesandsubdifferentialsofthecomponentfunctions.Moreover,conjugatedualityforconed.c.Optimizationisdiscussedandweakdualitytheoremisprovedinamoregeneralpartiallyorderedlineartopologicalvectorspace(generalizingtheresultsin[11]).
简介:ALeverrier-likealgorithmispresentedwhichallowsthecomputationofthetransferfunctionofalinearregularsystemfromitsm-Dstate-spacedescription,withoutinvertingamultivariablepolynomialmatrix.ThisalgorithmisanextensionoftheclassicLeverrier'salgorithmfor1-Dsystemanditreducesthecomputationalcost.ra-DCayley-Hamiltontheoremisalsoshownbythealgorithm.
简介:Thispapergivesthedefinitionsandsomepropertiesofε-directionalderivateandε-subgradientsofcone-convexfunction.Fromthem,theoptimalityconditionsoflocalandglobaloptimalpointofunconstrainedcone-d.c.programmingaregained.Atlast,thedualitytheoremsofthisprogrammingarepresented.
简介:ThispapereonsidersanARIMA(p,d,q)medel.Amethodforestimatingtheorderdandtestingthehypothesis:d=d0isgiven.Theasymptoticpropertiesoftheestimatorhavebeendiscussed.
简介:Inthispaper,anewproofofD’AlembertformulaforCauchyproblemsofwaveequationisproposed.AndsomeD’Alembert-typeformulasforCauchyproblemwithdiscontinuouscoefficientsonsemi-infiniteinitialboundaryvalueproblemareproposed.Basedonabovediscussion,thec(?)racteristicsmethodsforthedirectandinverseproblemsofthestresswaveequationforuniformlayeradelasticmediumareinvestigated.Theaimofthispaperistostressthesignificanceandapplicationofthecharacteristicsconceptandapproach.
简介:LetDbeaboundedC3-domaininRdand(aij)beaboundedsymmetricmatrixdefinedonD.Considerthesymmetricform(u,v)=1/2∫Daij(x)(u(x))/(xi)(v(x))/(xj)dx,u,v∈H1(D).UndersomeassumptionsitisshownthatthediffusionprocessassociatedwiththeregularDirichletspace(,(H1(D))onL2(D)canbecharacterizedasauniquesolutionofacertainstochasticdifferentialequation.
简介:ThepapermodelsthearrivalofheterogeneousinformationduringR&DstagesasadoublystochasticPoissonprocess(DSPP).Thenewproductmarketintroductionisthoughtofasoptiononanoption(acompoundoption).ThispaperderivesananalyticapproximationvaluationformulafortheR&Doption,anddemonstratesthattheaccountsforheterogeneousinformationarrivalmayreducethepricingbiases.Thisway,thegapbetweenrealoptiontheoryandthepracticeofdecisionmakingwithrespecttoinvestmentinR&Disdiminished.
简介:Letq≥3beanoddnumber,abeanyfixedpositiveintegerwith(a,q)=1.Foreachintegerbwith1≤b
简介:Inthispaper,themultiplestochasticintegralwithrespecttoaWienerD’-processisdefined.AndalsoitisshownthatforaD’-valuednonlinearrandomfunctionalthereexistsasequenceofmultipleintegralkernelssuchthatthenonlinearfunctionalcanbeexpandedbyseriesofmultipleWienerintegralsoftheintegralkernelswithrespecttotheWienerD’-process.
简介:这篇文章与库仑潜在的x考虑3D-Hartree-type方程的一个家庭(?1),其起始的数据震荡以便一苛性出现。在线性几何光学盒子中,由使用Lagrangian积分,对答案在外面的一致描述苛性、近苛性被获得。给词调音:Hartree方程;几何光学;Lagrangian积分
简介:Inthispaper,least-squaxesmirrorsymmetricsolutionformatrixequations(AX=B,XC=D)anditsoptimalapproximationisconsidered.Withspecialexpressionofmirrorsymmetricmatrices,ageneralrepresentationofsolutionfortheleast-squaresproblemisobtained.Inaddition,theoptimalapproximatesolutionandsomealgorithmstoobtaintheoptimalapproximationareprovided.
简介:AbstractFortheweaklyinhomogeneousacousticmediuminΩ={(x,y,z):z>0},weconsidertheinverseproblemofdeterminingthedensityfunctionρ(x,y).Theinversioninputforourinverseproblemisthewavefieldgivenonaline.Wegetanintegralequationforthe2-Ddensityperturbationfromthelinearization.Byvirtueoftheintegraltransform,weprovetheuniquenessandtheinstabilityofthesolutiontotheintegralequation.Thedegreeofill-posednessforthisproblemisalsogiven.