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简介：设S＝｛x1,x2,…xn｝是一个由非零整数且|xi|≠|xj≠k.1≤i,j≤n)组合的集合，我们先定义了集S上的广义GCD（GGCD）矩阵和广义LCM（GLCM）矩阵，然后计算了定义在广义gcd-closed集上的GGCD矩阵和CLCM矩阵的逆矩阵。

简介：ThispaperconsidersthereliablecontroldesignforT-Sfuzzysystemswithprobabilisticactuatorsfaultsandrandomtime-varyingdelays.Thefaultsofeachactuatoroccursrandomlyanditsfailureratesaregovernedbyasetofunrelatedrandomvariablessatisfyingcertainprobabilisticdistribution.Intermsoftheprobabilisticfailuresofeachactuatorandtime-varyingrandomdelays,newfaultmodelisproposed.Basedonthenewfuzzymodel,reliablecontrollerisdesignedandsufficientconditionsfortheexponentiallymeansquarestability(EMSS)ofT-SfuzzysystemsarederivedbyusingLyapunovfunctionalmethodandlinearmatrixinequality(LMI)technique.Itshouldbenotedthattheobtainedcriteriadependonnotonlythesizeofthedelay,butalsotheprobabilitydistributionofit.Finally,anumericalexampleisgiventoshowtheeffectivenessoftheproposedmethod.

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简介：在文[1]中，给出了迹为0和2的n阶n-可扩张的TCS-矩阵的一个刻划。本文将给出迹为4的这类矩阵的一个刻划。

简介：首先建立了第二类Chebyshev多项式Un（x）的Landau＇s型不等式．利用Un（x）的正交性，建立了代数多项式pn（x）的加权Landau＇s型不等式，并且指出其不等式的系数在某种意义上是最好可能的．

简介：MakinguseoftheZ2×Z2symmetry,wecouldstudythestructurenearmultipleS-treakingturningpoints.Inparticular,weshowthatthereexisttwokindsofsingularpointpaththroughdoubleSbreakingturningpointsandtripleSbieakingturningpoints,onetsquadraticturningporntpathandoneisquadraticpitchforkbifurcationpointpath.SomesimpleregularextendedsystemstocornputedoubleandtripleS-breakingturningpointsareproposed.Numericalexamplesarealsogreen

简介：群G的子群H称为半置换的，若对任意的K≤G，只要（｜H｜，｜K｜）=1，就有HK=KH．H称为s-半置换的，若对任意的p｜｜G｜，只要（p，｜H｜）=1，就有PH=HP,其中P∈Sylp（G）．本文研究Sylow子群的极大子群及极小子群的s-半置换性对有限群的p-超可解性的影响．

简介：AgraphGiscalledchromatic-choosableifitschoicenumberisequaltoitschromaticnumber,namelych(G)=χ(G).Ohba’sconjecturestatesthateverygraphGwith2χ(G)+1orfewerverticesischromaticchoosable.ItisclearthatOhba’sconjectureistrueifandonlyifitistrueforcompletemultipartitegraphs.Recently,Kostochka,StiebitzandWoodallshowedthatOhba’sconjectureholdsforcompletemultipartitegraphswithpartitesizeatmostfive.Butthecompletemultipartitegraphswithnorestrictionontheirpartitesize,forwhichOhba’sconjecturehasbeenverifiedarenothingmorethanthegraphsKt+3,2*(k-t-1),1*tbyEnotomoetal.,andKt+2,3,2*(k-t-2),1*tfort≤4byShenetal..Inthispaper,usingtheconceptoff-choosable(orL0-size-choosable)ofgraphs,weshowthatOhba’sconjectureisalsotrueforthegraphsKt+2,3,2*(k-t-2),1*twhent≥5.Thus,Ohba’sconjectureistrueforgraphsKt+2,3,2*(k-t-2),1*tforallintegerst≥1.

简介：S^p（1≤p≤∞）空间为导数属于Hardy空间H^p的复平面单位圆盘D上所有解析函数组成的空间.令函数φ和φ是D上的解析函数且φ（D）D,则将算子W（φ,φ）：f→φfoφ称为加权复合算子.文章给出了当1≤q≤p≤∞,φ∈S^∞时,加权复合算子W（φ,φ）从空间S^p到S^q上的有界性的充要条件.然后通过推广经典的Fejer-Riesz不等式证明了当1〈p≤∞时，S^p到圆盘代数A上的嵌入映射是紧的．

简介：本文给出了Kronecker引理的一种推广形式,在一定范围改进了L.G.Drighicescu的结果,并将之用于研究随机变量部分和的a.s.稳定性。

简介：Westudyboundaryvalueproblemsforfractionalintegro-differentialequationsinvolvingCaputoderivativeoforderα∈(n-1,n)inBanachspaces.ExistenceanduniquenessresultsofsolutionsareestablishedbyvirtueoftheHolder'sinequality,asuitablesingularGronwall'sinequalityandfixedpointtheoremviaaprioriestimatemethod.Atlast,examplesaregiventoillustratetheresults.

简介：在这篇文章中，我们研究在deSitter空间中具有非负常值的第r个平均曲率的紧致的类空超曲面。我们证明了在合适的条件下紧致的类空超曲面是全脐的。

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简介：利用拓扑度方法，本文在Z-P-S空间中研究了半闭1-集压缩算子的固有值与固有元问题，改进和推广了相关文献中的结果．

简介：Inthispaper,weshowthatnewmodifieddoublecosinetrigonometricsumsintroducedin[1]areinappropriate,theclassofdoublesequencesJdintroducedthereisunusableforsuchsumsandconsequentlytheresultsobtainedinitarecompletelyincorrect.WehereintroduceappropriatemodifieddoublecosinetrigonometricsumsmakingtheclassJdusableconsideringaparticulardoublecosinetrigonometricseries.