简介:Inthispaperwedescribeamulti-gridalgorithmformixedproblemswithpenaltybythelinearfiniteelementapproximation.Itisprovedthattheconvergencerateofthealgorithmisboundedawayfrom1independentlyofthemeshsize.Forconvenience,weonlydiscussJacobirelaxationassmoothingoperatorindetail.
简介:TheauthorsprovetheHyers-Ulam-RassiasstabilityofthequadraticmappinginBanachmodulesoveraunitalC*-algebra,andprovetheHyers-Ulam-RassiasstabilityofthequadraticmappinginBanachmodulesoveraunitalBanachalgebra.
简介:Theabinitiomolecularorbitalmethodisemployedtostudytheenantioselectivereductionofacetophenonewithboranecatalyzedbythiszolidino[3,4-c]oxazaborolidine.Computationresultshowsthatthecontrollingstepforthereductionisthedecompositionofthecatalyst-alkoxyboraneadductandthereductionleadstoS-alcohols.ThetransitionatateofthehydridetransferfromtheboranemoietytothecarbonylcarbonofacetophenoneisatwistedchairstructurewithaB(2)-N(3)-BBH3-HBH3-CCo-OCO6-memberedring.
简介:本文得到了C*-代数值度量空间中的一些不动点定理,其结果改进并推广了马振华等人发表在2014年《不动点理论及其应用》一文中的工作.而且,运用所得到的结果,获得了一类常见积分方程解的存在性和唯一性定理.
简介:LetM^nbeaclosedspacelikesubmanifoldisometricallyimmersedindeSitterspaceSp^(n+p)(c),DenotebyR,HandSthenormalizedscalarcurvature,themeancurvatureandthesquareofthelengthofthesecondfundamentalformofM^n,respectively.SupposeRisconstantandR≤c.ThepinchingproblemonSisstudiedandarigiditytheoremforM^nimmersedinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisproved.Whenn≥3,thepinchingconstantisthebest.Thus,themistakeofthepaper“Space-likehypersurfacesindeSitterspacewithconstantscalarcurvature”(seeManusMath,1998,95:499-505)iscorrected.Moreover,thereductionofthecodimensionwhenM^nisacompletesubmanifoldinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisinvestigated.
简介:IntroductionInthepastseveralyears,muchresearchworkhasbeendoneforthesynthesisofC-fusedbicyclo-β-lactamcompoundsandaconcise“DoubleAnnulation”procedurehasbeendeveloped.Theβ-lactamringisformedbytheclassicalStaudingerreaction[1—3]betweenα-(alkylthio)acylchlorideandanequivalentα,β-unsaturatedimine.Thesulfurringissubsequentlyfusedontotheβ-lactamunitbymeansofahalogen-promotedheterocyclizationprocess[4—6].ThisprocedurewasappliedtothesynthesisofpenemasillustratedinFig.1.TheobtainedX-penemsareakindofimportantintermediatesforsynthesizingaseriesofβ-lactamcompounds,forexample,theyarecarboxylatedbycouplingreactionsontheCatomwhichislinkedtohalagen,formingpenem[7].Animportantpurposeintheresearchfieldistoprobeintonewβ-lactammedicines.
简介:APt-MoO3/Ccatalyst,aimedtoeliminatetheharmfuleffectofsulfurdioxide(SCb)ontheperformanceofPtnanoparticles(NPs)forcatalysisofoxygenreductionreaction(ORR)inprotonexchangemembranefuelcells(PEMFC),isdevelopedandcharacterizedbyTEM,XRDandXPS.TheresultsrevealthatPt-MoO3/Ccatalystexhibitsnotonlyahighercatalyticactivity,butalsoabetterSO2poisoningresistanceandabetterrecoveryperformancethanthecommercialPt/Ccatalystdoes.
简介:HKq一,p(w1,w2)并且HKq一,p(w1,w2)C-Z类型的固定单个不可分的操作员被证明。
简介:1IntroductionFullerenehasreceivedconsiderableattentionandagreatresearchinginterestduetoitsuniquestructureandinterestingproperties[1-3].Manyfunctionalgroupshavebeenintroduced,oftenregion-orstereo-selectively,fortuningthephysicalpropertiesofC60andforconstructingsupramoleculararchitectures[4-6].AmongallkindsofC60derivatives,thediseoticmolecule-substitutedC60derivativesshowinterestingproperties,especially,liquidcrystalproperties.Uptonow,fewC60derivativeswithdiscotic-moleculargroupsandtheirliquidcrystalpropertieshavebeenstudied.In1996,Deschenauxetal.[7]reportedthefirstmesomorphicC60-ferrocenederivative.Tianetal.[8]synthesizedaC60-perylenederivativein2004.Nakanishietal.[9]preparedaseriesofuncommonliquidC60derivativeswith2,4,6-tris(alkyloxy)benzalgroupsin2006.Lately,Geertsetal.[10]describedthesynthesisofmesogenicphthalocyanine-C60.
简介:Inthispaper,weintroducegeneralizedcyclicC-contractionsthroughpnumberofsubsetsofaprobabilisticmetricspaceandestablishtwofixedpointresultsforsuchcontractions.InourfirsttheoremweusetheHadzictypet-norm.InournexttheoremweuseLukasiewiczt-norm.OurresultsgeneralizetheresultsofChoudhuryandBhandari[11].Acontrolfunction[3]hasbeenutilizedinoursecondtheorem.Theresultsareillustratedwithsomeexamples.