简介：左R-模M称为Eω-内射模,如果对环R中任意的ω阶Euclid理想I来说,任何R-模同态能够拓展为R-模同态。左R-模M称为Eω-投射模,若对环R中任意的ω阶Euclid理想I和任何R-模同态f∈HomR（M,R/I）,存在R-模同态g∈HomR（M,R）使得f=πg,其中π是自然同态。本文证明P和Q均是Eω-投射模当且仅当PQ是Eω-投射模。进而,又证明了每一个左R-模是Eω-投射的当且仅当每一个左R-模是Eω-内射。

简介：LetB(E,F)bethesetofallboundedlinearoperatorsfromaBanachspaceEintoanotherBanachspaceF,B+(E,F)thesetofalldoublesplittingoperatorsinB(E,F)andGI(A)thesetofgeneralizedinversesofA2B+(E,F).InthispaperweintroduceanunboundeddomainW(A,A^+)inB(E,F)forA2B+(E,F)andA^+2GI(A),andprovideanecessaryandsufficientconditionforT2W(A,A^+).Thenseveralconditionsequivalenttothefollowingpropertyareproved:B=A^+(IF+(T??A)A^+)??1isthegeneralizedinverseofTwithR(B)=R(A^+)andN(B)=N(A^+),forT2W(A,A^+),whereIFistheidentityonF.Alsoweobtainthesmooth(C￥)diffeomorphismMA(A^+,T)fromW(A,A^+)ontoitselfwiththefixedpointA.LetS=fT2W(A,A^+):R(T)\N(A^+)=f0gg,M(X)=fT2B(E,F):TN(X)R(X)gforX2B(E,F)g,andF=fM(X):8X2B(E,F)g.UsingthediffeomorphismMA(A^+,T)weprovethefollowingtheorem:SisasmoothsubmanifoldinB(E,F)andtangenttoM(X)atanyX2S.ThetheoremexpandsthesmoothintegrabilityofFatAfromalocalneighborhooldatAtotheglobalunboundeddomainW(A,A^+).Itseemstobeusefulfordevelopingglobalanalysisandgeomatricalmethodindifferentialequations.

简介：本文在无穷维空间引入(E0，E)型渐近光滑映射的概念，研究了其基本性质和变为E中渐近光精映射的条件，我们证明了(E0，E)型吸引子存在性定理和(E0，E)型吸引子转化为E中吸引子的条件定理，所有结果都应用于一类耗散波方程新近性态的研究．

简介：Itisknownfromclassicaldifferentialgeometrythatonecanreconstructacurvewith(n-1)prescribedcurvaturefunctions,ifthesefunctionscanbedifferentiatedacertainnumberoftimesintheusualsenseandifthefirst(n-2)functionsarestrictlypositive.ItisestablishedherethatthisresultstillholdsundertheassumptionthatthecurvaturefunctionsbelongtosomeSobolevspaces,byusingthenotionofderivativeinthedistributionalsense.ItisalsoshownthatthemappingwhichassociateswithsuchprescribedcurvaturefunctionsthereconstructedcurveisofclassC∞.

简介：Alooplessgraphonnverticesinwhichverticesareconnectedatleastbyaandatmostbybedgesiscalleda(a,b,n)-graph.A(b,b,n)-graphiscalled(b,n)-graphandisdenotedbyKbn(itisacompletegraph),itscomplementbyKbn.Anonincreasingsequencep=(d1,…,dn)ofnonnegativeintegersissaidtobe(a,b,n)graphicifitisrealizablebyan(a,b,n)-graph.Wesayasimplegraphicsequencep=(d1,…,dn)ispotentiallyK4—K2[K2-graphicifithasaarealizationcontaininganK4—K2[K2asasubgraphwhereK4isacompletegraphonfourverticesandK2[K2isasetofindependentedges.Inthispaper,wefindthesmallestdegreesumsuchthateveryn-termgraphicalsequencecontainsK4—K2[K2assubgraph.

简介：有限制PX=sXP的矩阵方程AXB=E被考虑，在P是一个给定的Hermitian矩阵的地方令人满意的P[2]=我；s=±1。由P的eignvalue分解，抑制问题能相等地被转变到矩阵其系数包含相应特徵向量的矩阵方程的一个著名非强迫的问题，；因此抑制问题能以P的特徵向量被解决。一简单；由系数矩阵A的概括的逆的抑制问题的一般答案的没有特徵向量的公式；B被介绍。而且，有概括限制的矩阵方程的一个类似的问题被讨论。

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简介：让Z/(p[e])是整数残余戒指模p[e]与p一个奇怪的素数；整数e≥3。为在Z/上的一个序列(p[e])，在各个能在Z/(p)上被认为是一个序列的地方，有唯一的p-adic分解，0≤i≤e1。让f(x)是在Z/上的一个原始多项式(p[e])；G′(f(x)，p[e])所有原始序列的集合在Z/上由f(x)产生了(p[e])。为μ(x)∈Z/(p)[x]与deg(μ(x))≥2；ged(1+deg(μ(x))，p1)=1，设定

简介：ＥＸＩＳＴＥＮＣＥＯＦＷＥＡＫＳＯＬＵＴＩＯＮＳＯＦ２－ＤＥＵＬＥＲＥＱＵＡＴＩＯＮＳＷＩＴＨＩＮＩＴＩＡＬＶＯＲＴＩＣＩＴＹω＿０∈Ｅ（ｌｏｇ￣＋Ｌ）￣α（α＞０）ＪＩＵＱＵＡＮＳＥＮ（ＩｎｓｔｉｔｕｔｅＯｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ｔ...

简介：WeprovideconvergenceresultsanderrorestimatesforNewton-likemethodsingeneralizedBanachspaces.TheideaofageneralizednormisusedwhichisdefinedtobeamapfromalinearspaceintoapartiallyorderedBanachspace.Convergenceresultsanderrorestimatesareimprovedcomparedwiththerealnormtheory.

简介：让p是一个奇怪的素数。在我们介绍的这份报纸，二次的线性p鈥揳lgebraQ1由合适改变Q的发电机获得了，在H鈭炩€搑ing系列的范畴的cohomology操作的同类的二次的代数学，并且仔细看在情况p=相似的商在cohomology上导致的地图2，结果是injective。因此，它的目标包含古典亚当斯的E2鈥搕erm光谱顺序作为subalgebra。对的明确的描述在Q上在合理假设下面被给是Koszul代数学。关键词Koszul代数学-代数学的Cohomology-亚当斯光谱顺序先生(2000)题目分类55S10-18G15-55T15

简介：Thispaperisconcernedwiththeproblemofabsolutestabilityforacontrolsystemwithseveralexecutiveelements.NecessaryandsufficientconditionsareobtainedfortheexistenceofLiapunovfunctionofLur’eformwithnegativesemi--definitederivative(i.e.V≤0).

简介：Problemsaboutdensityareremarkableinthetheoryofdegreesofunsolvability.Owingtotheirdifficultyfewresultshavebeenobtainedtillnow.Sacks1964showedthatther.e.degreesaredense;Fejer1980showedthatnonbrachingdegreesaredenseinther.e.degrees,thisisthefirstnontrivialdefinablesubsetofthedegreesknowntobedense.

简介：本文利用矩阵的广义奇异值分解给出了矩阵方程AXC＝BYD＝E有解的充分必要条件及其通解的表达式，同时在矩阵方程的解集合中导出了与给定矩阵的最佳逼近解的表达式。

简介：Inthispaper,wederivetwogeneralparameterizedboundariesoffinitedifferenceschemeforVee’sPDEwhichisusedtopricebothfixedandfloatingstrikeAsianoptions.Usingthesetwoboundaries,wecandealwithallkindsofsituations,especially,someextremecases,likeoverhighvolatility,verysmallvolatility,etc,underwhichtheAsianoptionisusuallymispricedinmanyexistingnumericalmethods.Numericalresultsshowthatourboundariesareprettyefficient.

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简介：在求数列{1/n!(n/e)}的极限时,应用司特林(J.Stirling)公式

简介：Usingrecursivemethod,thispaperstudiesthequeuesizepropertiesatanyepochn+inGeom/G/1(E,SV)queueingmodelwithfeedbackunderLASDA(latearrivalsystemwithdelayedaccess)setup.Somenewresultsabouttherecursiveexpressionsofqueuesizedistributionatdifferentepoch(n+,n,n-)areobtained.Furthermoretheimportantrelationsbetweenstationaryqueuesizedistributionatdifferentepochsarediscovered.TheresultsaredifferentfromtherelationsgiveninM/G/1queueingsystem.Themodeldiscussedinthispapercanbewidelyappliedinmanykindsofcommunicationsandcomputernetwork.

简介：设G（V,E）是简单连通图,T（G）为图G的所有顶点和边构成的集合,并设C是k-色集（k是正整数）,若T（G）到C的映射f满足：对任意uv∈E（G）,有f（u）≠f（v）,f（u）≠f（uv）,f（v）≠f（uv）,并且C（u）≠C（v）,其中C（u）={f（u）}∪{f（uv）｜uv∈E（G）}.那么称f为图G的邻点可区别E-全染色（简记为k-AVDETC）,并称χ_（at）~e（G）=min{k｜图G有k-邻点可区别E-全染色}为G的邻点可区别E-全色数.图G的中间图M（G）就是在G的每一个边上插入一个新的顶点,再把G上相邻边上的新的顶点相联得到的.探讨了路、圈、扇、星及轮的中间图的邻点可区别E-全染色,并给出了这些中间图的邻点可区别E-全色数.

简介：深化对本性谱的认识;给出∑_e~n(n≥2)型Banach空间上的摄动类问题的反面回答.