简介:Usingastandardfactinhyperbolicgeometry,wegiveasimpleproofoftheuniquenessofPLminimalsurfaces,thusfillinginagapintheoriginalproofofJacoandRubinstein.Moreover,inordertoclarifysomeambiguity,wesharpenthedefinitionofPLminimalsurfaces,andproveatechnicallemmaonthePlateauprobleminthehyperbolicspace.
简介:ThispaperstudiestheuniquenessoftheharmonicmapsfromRnintoSn-1.Atfirstitisprovedthatthemapψ(x)=x|x|:Bn→Sn-1istheuniqueenergyminimizingharmonicmap.ThentheuniquenessoftheharmonicmapswithidentityboundaryvaluefromBntoSn-1follows.
简介:Fortheimageofasmoothsurfaceobjectfullycontainedwithinthefieldofviewandilluminatedinandarbitrarydirection,thispaperdiscussestheexistenceanduniquenessotheconditionsforsolvingashape-from-shadingproblemundertheconditionsthattheFourierseriesexpansionoftheimageintensitycontainsonlyzeroandfirstordertermsinapolarcoordinatesystem.Threetheoremsareestablished,onefortheexistenceandtwofortheuniquenessofz-axissymmetricshapefromshading.
简介:InthispaperwepresentacorrectionoftheproofofustronguniquenesstheoremgivenbyH.Struuss[1]in1992onapproximationbyreciprocalsoffunctionsufann-dimensionalspace(u,…un)satisfyingcoefficientconstraints.
简介:InthispaperwepresentacorrectionoftheproofofastronguniquenesstheoremgivenbyH.Straussin1992onapproximationbyreciprocalsoffunctionsofann-dimensionalspacespan(u1,…,un)satisfyingcoefficientconstraints.
简介:Letfbeanonconstantentirefunction;letk≥2beapositiveinteger;andletabeanonzerocomplexnumber.Iff(z)=af′(z)=a,andf′(z)=af~(k)(z)=a,theneitherf=Ce~(λz)+aorf=Ce~(λz)+a(λ-1)/λ,whereCandλarenonzeroconstantswithλ~(k-1)=1.TheproofisbasedontheWiman-Valirontheoryandthetheoryofnormalfamiliesinanessentialway.
简介:Thispaperinvestigatesanoldprobleminoperationsresearch,theuniquenessoftheoptimalsolutiontoalinearprogrammingproblem.Wediscusstheproblemonageneralpolyhedron,givesomeequivalentconditionsforuniquenesstesting.Inaddition,wediscusstheimplementationissuesforlinearprogrammingbaseddecisionmakingprocedures,whichmotivatedthisresearch.
简介:让P(G,)是图G的色彩的多项式。图G是上色唯一如果为任何图H,P(H,)=P(G,)暗示H对G.刘等同形。[刘,R.Y.,赵,H.X.,汝,C.F.:的一个完全的答案一完全的分成三部分的图的色彩的唯一上的conjecture。分离数学,289,175179(2004)],并且Lau和Peng[Lau,G.C.,Peng,Y.H.:某些完全的t深裂的图的色彩的唯一。艺术梳子,92,353376(2009)]显示出那K(p?k,p?我,p)为i=0,1是上色唯一如果pk+24。在这份报纸,我们看那是否2i4,完全的分成三部分的图K(p吗?k,p?我,p)是为整数ki和pk2/4+唯一的上色i+1。
简介:Inthispapertheexistenceanduniquenessofthesolutionofimplicithybridmethods(IHMs)forsolvingtheinitialvalueproblems(IVPs)ofstiffordinarydifferentialequations(ODEs)isconsidered.Weprovidethecoefficientconditionanditsjudgingcriterionaswellastherighthandconditiontoensuretheexistingsolutionuniquely.
简介:Inthispaper,wediscusstheuniquenessproblemofalgebroidfunctionsonannuli,wegetseveraluniquenesstheoremsofalgebroidfunctionsonannuli,whichextendtheNevanlinnavaluedistributiontheoryforalgebroidfunctionsonannuli.
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简介:Inthispaper,weprovetheexistenceanduniquenessforBackwardStochasticDifferentialEquationswithstoppingtimeastimehorizonunderthehypothesisthatthegeneratorisbounded.Wefirstproveforthestoppingtimewithfinitevaluesandforthegeneralstoppingtimeweprovetheresulttakinglimit.Wesuggestanewapproachtogeneralizetheresultsforthecaseofconstanttimehorizontothecaseofstoppingtimehorizon.
简介:Inthispaper,Westudyageneralclassofnonlineardegeneratedellipticproblemsassociatedwiththedifferentialinclusionβ(u)-div(a(x,Du)+F(u))■finΩ,wheref∈L1Ω.Avectorfielda(·,·)isaCarath′eodoryfunction.UsingtruncationtechniquesandthegeneralizedmonotonicitymethodinthefunctionalspacesweprovetheexistenceofrenormalizedsolutionsforgeneralL1-data.Underanadditionalstrictmonotonicityassumptionuniquenessoftherenormalizedsolutionisestablished.
简介:Inroughsettheory,crispand/orfuzzybinaryrelationsplayanimportantroleinbothconstructiveandaxiomaticconsiderationsofvariousgeneralizedroughsets.Thispaperconsiderstheuniquenessproblemofthe(fuzzy)relationinsomegeneralizedroughsetmodel.Ourresultsshowthatbyusingtheaxiomaticapproach,the(fuzzy)relationdeterminedby(fuzzy)approximationoperatorsisuniqueinsome(fuzzy)double-universemodel.
简介:Inthispaper,weusethecontractionprincipleandtheLeray-SchauderprincipletodealwiththeexistenceofperiodicsolutionsoftheVolterraintegraldifferentialequation.Somenewexistencecriteriaanduniqueexistencecriteriaareobtained.