简介：在这份报纸，我们介绍添加剂在normed空格的功能的不平等和二次的功能的不平等，并且在Banach空格证明功能的不平等的Hyers-Ulam稳定性。而且，我们介绍添加剂在非阿基米得的normed空格的功能的不平等和二次的功能的不平等，并且在非阿基米得的Banach空格证明功能的不平等的Hyers-Ulam稳定性。

简介：ForaBanachSpaceXGarcia-FalsetintroducedthecoefficientR(X)andshowedthatifR(X)<2thenXhasafixedpoint.Inthispaper,wedefineameannon-expansivemappingTonXinthesensethat‖Tx-Ty‖≤a‖x-Y‖+b‖x-Ty‖foranyx,y∈X,wherea,5≥0,a+b≤1.WeshowthatifR(X)<2/(1+b)thenThasafixedpointinX.

简介：为地k和二有限的组G和X，当G由组自守从权利对X起作用时，k空间(kXop)上有Hopf代数学结构*kG(看见定理2.1)，把由DX双、表示的非平衡的量称为(G)。在这份报纸，DX(G)的一些Hopf代数学性质被给，在DX(G)上的当k代数学被讨论，看的DX(G)的表示类型，代数学结构和模块范畴被学习。自从非平衡的量的Hopf代数学结构，两倍DX(G)概括平常的量为有限的组G的两倍D(G)，当一种特殊情况和DX(G)的通用R矩阵提供Yang-Baxter方程的更多的答案，关于在这份报纸的DX(G)的所有结果能也被用来描述D(G)。

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简介：ＴＨＥＣＯＮＴＩＮＵＯＵＳＣＡＳＴＩＮＧＰＲＯＢＬＥＭＷＩＴＨＮＯＮ－ＥＱＵＩＬＩＢＲＩＵＭＣＯＮＤＩＴＩＯＮＳ￥（吴少华，刘祖汉）ＷｕＳｈａｏｈｕａ（Ｄｅｐｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．，ＷｕｈａｎＵｎｉｖ．ｏｆＨｙｄｒａｕｌｉｃａｎｄＥｌｅｃｔｒｉ...

简介：让AAB(X)B(X)的subalgebra正在包含身份操作员我 ；并且幂等P ；。建议那，:A→A，:A→A是戒指epimorphisms并且在那里存在一些在XX上嵌套NN以便 (P)(X) and (P)(X) (P)(X) and (P)(X)是NN的重要元素。让AA包含在AlgN and  : A→B(X)AlgN and  : A→B(X)的一个操作员是的所有等级印射的添加剂。是否，被看那是在零个点可引出的(,)，然后在那里存在添加剂(,)=derivation  : A→B(X)(,)=derivation  : A→B(X)以便(A)=(A)+(A)(I) for all A∈ A(A)=(A)+(A)(I) for all A∈ A。它也被看那是否是在零个点可引出的概括(,)，然后，添加剂被概括(,)推导。而且由这结果的使用，添加剂印射(概括)在几巢代数学上的零个点可引出的(,)，也被描绘。

简介：TheBernoulliconvolutionvλmeasureisshowntobeabsolutelycontinuouswithL2densityforalmostall1/2

简介：Byusingthenon-parametricleastsquaremethod,thestrongconsistentestimationsofdistributionfunctionandfailurefunctionareestablished,wherethedistributionfunctionF(x)afterlogisttransformationisassumedtobeapproximatedbyapolynomial.Theperformanceofsimulationshowsthattheestimationsarehighlysatisfactory.

简介：IfdμistheFouriertransformofasmoothmeasure,dμonthehypersphereSn-1(n≥2)thethereexistsaconstantCdependentonlyonnsuchthat|dμ(y)|≤C(1+|y|)-(n-1)/2forally∈Rn.Inthispaper,weshowthattheabovestatementisfalsefornon-smoothmeasures.AndwepresentthecorrespondingestimationsfartheFouriertransformsofcertainnon-smoothmeasuresonSn-1.

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简介：Datacollectedonthesurfaceoftheearthoftenhasspatialinteraction.Inthispaper,anon-isotropicmixingspatialdataprocessisintroduced,andundersuchaspatialstructureanonparametrickernelmethodissuggestedtoestimateaspatialconditionalregression.Undermildregularities,sufficientconditionsarederivedtoensuretheweakconsistencyaswellastheconvergenceratesforthekernelestimator.Ofinterestarethefollowing:(1)Alltheconditionsimposedonthemixingcoefficientandthebandwidtharesimple;(2)Differentlyfromthetimeseriessetting,thebandwidthisfoundtobedependentonthedimensionofthesiteinspaceaswell;(3)Forweakconsistency,themixingcoefficientisallowedtobeunsummableandthetendencyofsamplesizetoinfinitymaybeindifferentmannersalongdifferentdirectioninspace;(4)However,tohaveanoptimalconvergencerate,fasterdecreasingratesofmixingcoefficientandthetendencyofsamplesizetoinfinityalongeachdirectiona

简介：Somespecificnon-isotropicJacobiapproximationsinmultiple-dimensionsareinvestigated,whichareusedfornumericalsolutionsofdifferentialequationsonvariousunboundeddomains.Theconvergenceofproposedschemesareproved.Someefficientalgorithmsareprovided.Numericalresultsarepresentedtoillustratetheefficiencyofthisnewapproach.

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简介：Thispaperdealwithoptimalcontrolproblemsforanon-stationaryStokessystem.Westudyasimultaneousdistributed-boundaryoptimalcontrolproblemwithdistributedobservation.Weprovetheexistenceanduniquenessofasimultaneousoptimalcontrolandwegivethefirstorderoptimalityconditionforthisproblem.Wealsoconsideradistributedoptimalcontrolproblemandaboundaryoptimalcontrolproblemandweobtainestimationsbetweenthesimultaneousoptimalcontrolandtheoptimalcontrolsoftheselastones.Finally,someregularityresultsarepresented.

简介：Thispaperconsiderstheexistenceandasymptoticestimatesofglobalsolutionsandfinitetimeblowupoflocalsolutionofnon-Newtonfiltrationequationwithspecialmediumvoidofthefollowingform:{ut/|x|^2-△pu=u^q,(x,t)∈Ω×（0,T),u(x,t)=0,(x,t)∈ЭΩ×（0，T），u（x，0）=u0(x),u0(x)≥0,u0(x)全不等于0，where△pu=div(|△↓u|^p-2△↓u),ΩisasmoothboundeddomaininR^N(N≥3),0∈Ω,2

简介：<正>Inthisnote.wewillshowthatnononuniformlatticeofSO（3,1）canbethefundamentalgroupofaquasi-compactKhlermanifold.Thus,combiningwiththeresultin[1].onegetsthatanonuniformlatticeinSO（n,1）（n≥3）cannotbeπ1ofanyquasi-compactKhlerianmanifold.

简介：LetCdenotethesetofallk-subestsofann-set.AssumeAlohtaininCa,andAlohtainin(A,B)iscalledacross-2-intersectingfamilyif|AB≥2forandA∈A,B∈B.Inthispaper,thebestupperboundsofthecardinalitiesfornon-emptycross-2-intersectingfamillesofa-andb-subsetsareobtainedforsomeaandb,AnewproofforaFrankl-Tokushigetheorem[6]isalsogiven.

简介：Thepurposeofthispaperistoinvestigatetheproblemofapproximatingfixedpointsofnon-Lipschitizianasymptoticallypseudocontractivemappingsinanar-bitraryrealBanachspacebythemodifiedIshikawaiterativesequenceswitherrors.

简介：Letfandgbedistributionsandletg_n=(g*δ_n)(x),whereδ_n(x)isacertainsequenceconvergingtotheDiracdeltafunction.Thenon-commutativeneutrixproductfogoffandgisdefinedtobethelimitofthesequence{fg_n},provideditslimithexistsinthesensethat

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