简介：ＢＯＵＮＤＥＤＮＥＳＳＡＮＤＢＬＯＷＵＰＦＯＲＴＨＥＧＥＮＥＲＡＬＡＣＴＩＶＡＴＯＲ－ＩＮＨＩＢＩＴＯＲＭＯＤＥＬＬｉＭＩＮＧＤＥ（李名德）；ＣＨＥＮＳＨＡＯＨＵＡ（陈绍华）；ＱＩＮＹＵＣＨＵＮ（秦禹春）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃ...

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简介：LetKn×nbethesetofalln×nmatricesandKrn×ntheset{A∈Kn×n|rankA=r}onaskewfieldK.Zhuang[1]denotesbyA#thegroupinverseofA∈Kn×nwhichisthesolu-tionoftheeuqations:AXA=A,XAX=X,AX=AX.

简介：Let■betheopenunitdiskinthecomplexplane■.Forα>-1,letdA_α(z)=(1+α)1-|z|~2αdA(z)betheweightedLebesguemeasureon■.Forapositivefunctionω∈L~1(■,dA_α),thegeneralizedweightedBergman-OrliczspaceA_ω~ψ(■,dA_α)isthespaceofallanalyticfunctionssuchthat||f||_ω~ψ=∫_■ψ(|f(z)|)ω(z)dA_α(z)<∞,whereψisastrictlyconvexOrliczfunctionthatsatisfiesothertechnicalhypotheses.LetGbeameasurablesubsetof■,wesayGsatisfiesthereverseCarlesonconditionforA_ω~ψ(■,dA_α)ifthereexistsapositiveconstantCsuchthat∫_Gψ(|f(z)|)ω(z)dA_α(z)≥C∫_■ψ(|f(z)|)ω(z)dA_α(z),forallf∈A_ω~ψ(■,dA_α).LetμbeapositiveBorelmeasure,wesayμsatisfiesthedirectCarlesonconditionifthereexistsapositiveconstantMsuchthatforallf∈A_ω~ψ(■,dA_α),∫_■ψ(|f(z)|)dμ(z)≤M∫_■ψ(|f(z)|)ω(z)dA_α(z).Inthispaper,westudythedirectandreverseCarlesonconditiononthegeneralizedweightedBergman-OrliczspaceA_ω~ψ(■,dA_α).WepresentconditionsonthesetGsuchthatthereverseCarlesonconditionholds.Moreover,wegiveasufficientconditionforthefinitepositiveBorelmeasureμtosatisfythedirectcarlesonconditiononthegeneralizedweightedBergman-Orliczspaces.

简介：为光滑的功能的一个家庭，作者显示出那，在某些通用条件下面，所有extremal(最小、最大)点是非退化的。

简介：作者为可能非加倍，但是满足某些生长条件的氡措施给Morrey空格的一个自然定义，并且在泛音分析和他们的珍视向量的扩展在一些古典操作符的这些空格调查围住的海角。

简介：In[1],Dingetal.studiedthenonhomogeneousBurgersequationThispaperwillprovethatwhenμ→0thesolutionof(1.1)willapproachthegeneralizedsolutionofTheauthorsnoticethattheequation(1.2)isbeyondthescopeofinvestigationsbyOleinikO.in[2].Thesolutionshereareunboundedingeneral.Thepaperalsostudiestheδ-wavephenomenonwhen(1.2)isjointedwithsomeotherequation.

简介：ThispaperpresentssomeresultsaboutboundsforcoincidenceindicesofNielsencoincidenceclassesformapsbetweennonorientablesurfaces.DenotingbyKnthenonorientablesurfaceconstructedbyaconnectedsumofntoruswithaKleinbottle,theauthorproves:(i)forpairsofmapsbetweentwoKleinbottlesorforpairsofmapsfromaKleinbottletoasurfaceKnthecoincidenceclassindexisbounded.(ii)forpairsofmapsfromKntotheKleinbottlethecoincidenceclassindexisunbounded.Otherboundednessresultsaregivenformoretechnicalconditions,includingoneforselfmaps.

简介：Inthispaper,thetotallynon-positivematrixisintroduced.Thetotallynon-positivecompletionaskswhichpartialtotallynon-positivematriceshaveacompletiontoatotallynon-positivematrix.Thisproblemhas.ingeneral,anegativeanswer.Therefore,ourquestionisforwhatkindoflabeledgraphsGeachpartialtotallynon-positivematrixwhoseassociatedgraphisGhasatotallynon-positivecompletion?IfGisnotamonotonicallylabeledgraphormonotonicallylabeledcycle,wegivenecessaryandsufficientconditionsthatguaranteetheexistenceofthedesiredcompletion.

简介：Leta,b,cberelativelyprimepositiveintegerssuchthata2+b2=c2.Je′smanowicz’conjectureonPythagoreannumbersstatesthatforanypositiveintegerN,theDiophantineequation(aN)x+(bN)y=(cN)zhasnopositivesolution(x,y,z)otherthanx=y=z=2.Inthispaper,weprovethisconjectureforthecasethataorbisapowerof2.

简介：InthispaperweconsidertheeigenvalueproblemofsemilinearellipticequationinR~n(n≥~3)-△u+α(x)u=λf(x,u),u∈H~1(R~n).

简介：在非通用的条件下面发生在平面快慢的系统的虚报现象被调查。什么时候批评歧管让非通用的褶层指由使用分析与最近发达的发作技术相结合的asymptotic的方法，一张虚报的存在被建立，一张虚报为存在的参数的asymptotic扩大被获得。

简介：ThepaperistogeneralizetherigiditytheoremthatthespecialWeingartensurfaceisthespheretothecaseofsubmanifolds.Itisprovedthatanon-negativelyimmersedcompactsubmaifnoldinspaceformofconstantcurvatureisaRiemannianproductofseveraltotallyumbilicalsubmanifoldsifthemeancurvatureandthescalarcurvatureofthesubmanifoldsatisfyacertainfunctionrelation.

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：TheBernoulliconvolutionvλmeasureisshowntobeabsolutelycontinuouswithL2densityforalmostall1/2

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