简介：这份报纸与随机的系数为随机的系统涉及混合H2/H控制，它实际上是把H2优化与H2/H的名字揭示的H柔韧的性能相结合的控制。基于古典理论线性二次(LQ短)最佳的控制，为不定的向后的随机的Riccati方程的答案的存在和唯一的足够、必要的条件(BSRE，为短)把坚韧性与H联系了被导出。然后，为H2/H控制的存在的足够、必要的条件被给利用一双联合随机的Riccati方程。

简介：作者在H2(Bn)上给一个作文操作符的必要标准的上面的界限，它在S.S定义的更高维的值分发理论包含数的函数。Chern。一个标准也被给保证H2(Bn)上的作文操作员被围住或压缩。

简介：本文要证明不存在一个非平凡2-（v，k，3）对称设计，它的旗传递自同构群的基柱是^2F4（q2）

简介：Themainresultsareasfollows.

简介：Assumethatm≥2,pisaprimenumber,(m,p(p-1))=1,-1(Z/mZ)~*and[(Z/mZ)~*:]=4.Inthispaper,wecalculatethevalueofGausssumG(X)=Σ_(x∈F_q~*)x(x)ζ_p~(T(x))overF_q,whereq=p~f,f=((m))/4xisamultiplicativecharacterofF_qandTisthetracemapfromF_qtoF_p.Underourassumptions,G(x)belongstothedecompositionfieldKofpinQ(ζm)andKisanimaginaryquarticabeliannumberfield.WhentheGaloisgroupGal(K/Q)iscyclic,wehavestudiedthiscycliceaseinanotherpaper:'Gausssumsofindexfour:(1)cycliccase'(acceptedbyActaMathematicaSinica,2003).Inthispaperwedealwiththenon-cycliccase.

简介：对凸角域上的Neumann问题△u+au＝finΩ，эu/эn＝0onэΩ，这里α≥0是Ω上的有界可测函数且不恒为0，我们证明了：若f∈L^2（Ω)，则解u∈H^2(Ω)，且有正则性估计‖u‖2.0≤C‖f‖0.Ω。

简介：设(M,T)是一个光滑闭流形上的对合,不动点集为F=RP(4)UP(4,2n-1),则它的每一个对合(M,T)必协边(RP(4)×RP(4),twist)和(P(4,2n),T')之一.

简介：给出了H2(Tn)(n≥2)上Toeplitz算子的特征方程组:T*ziTTzi=T,并在此基础上证明了两个Topelitz算子相乘φ,ψ∈L∞(Tn),TφTψ仍为Toeplitz算子的充要条件:φ对z1,z2,…,zn中某些变量共轭解析,ψ对余下变量解析,且乘积为Tφψ.

简介：对于给定的图H，若存在可图序列π的一个实现包含H作为子图，则称π为蕴含H-可图的．Gould等人考虑了下述极值问题的变形：确定最小的偶整数σ（H，n），使得每个满足σ（π）≥σ（H，n）的n项可图序列π=（d1，d2，…，dn）是蕴含H-可图的，其中σ（π）=∑di．本文刻划了蕴含K4＋P2-可图序列，其中K4＋P2是向致的一个顶点添加两条悬挂边后构成的简单图．这一刻划导出σ（K4＋P2，n）的值．

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

简介：Let'stakeHasaninfinite–dimensionalHilbertspaceandK(H)bethesetofallcompactoperatorsonH.UsingSpectraltheoremforcompactself–adjointoperators,weprovetheHyers–UlamstabilityofJensen*-derivationsfromK(H)intoK(H).

简介：本文续文[1]指出用常微分方程的一般方法不易求解或不能求解的一类非齐次非线性问题可用WF-(H~h)/(h~i)告变换法解决.

简介：在不定积分的教学中,我们会碰到形如integralfromn=1（Pn（x）dx）/(（x+Px+q）q?)的积分,如同济二版高等数学

简介：证明了图2Kv的可旋转(4,6)圈系存在的充分必要条件为:v≥10,v≡0,5(mod10).更多还原

简介：WestudythestructureofBernstein’sfirstsummableoperatorsandshowthattheycon-vergeuniformlytocontinuonsfunctionsonthespecialrealorthogonalgroupSO(n)inthispaper.Inaddition,wehavealsodiscussedtheapproximationdegreetoaclassoffunctionLipα(0<α≤1)onSO(n).

简介：A(k;g)-graphisak-regulargraphwithgirthg.A(k;g)-cageisa(k;g)-graphwiththeleastpossiblenumberofvertices.Letf(k;g)denotethenumberofverticesina(k;g)-cage.Thegirthpairofagraphgivesthelengthofashortestoddandashortestevencycle.Afc-regulargraphwithgirthpair(g,h)iscalleda(k;g,h)-graph.A(k;g,h)-cageisa(k;g,h)-graphwiththeleastpossiblenumberofvertices.Letf(k;g,h)denotethenumberofverticesina(k;g,h)-cage.Inthispaper,weprovethefollowingstrictinequalityf(k;h-1,h)h),k≥3,h≥4.

简介：LetZbeatopologicalspaceandmappingA2:Z→B(H)withclosedrangeR(A2)becontinuous.SomenecessaryandsufficientconditionsofthecontinuityofM-PinversesAz+aregivenin[1],[2].ItisoneofthemthatAZ+iscontinuousifanaonlyifAZ+islocallybounded.Inthispaper,wediscussthefollowingproblem:iflimAn=A0inB(H)and||An+||isunbounded(i.e.theabovenecessaryandsufficientconditionfails),whathinHwillmaketheequations:limAm+h=A0+horw-limAn+h=A0+hbetrue.Forthispurposethreetheoremsandanerrorestimationaregiveninthispaper.

简介：Inthispaper,weinvestigatetheglobalexistenceandlongtimebehaviorofstrongsolutionsforcompressiblenematicliquidcrystalflowsinthreedimensionalwholespace.TheglobalexistenceofstrongsolutionsisobtainedbythestandardenergymethodundertheconditionthattheinitialdataareclosetotheconstantequilibriumstateinH~2-framework.IftheinitialdatasinL~1-normarefiniteadditionally,theoptimaltimedecayratesofstrongsolutionsareestablished.WiththehelpofFouriersplittingmethod,onealsoestablishesoptimaltimedecayratesforthehigherorderspatialderivativesofdirector.

简介：1IntroductionLetA∈Cn×n,B∈Cn×n.WesayBisasquarerootofAifA=B×Bi.e.A=B2.Itiswell-knownthatanysymmetricpositivedefinitematrixexistsoneandonlyonesquarerootwhichisasymmetricpositivedefinitematrix,too（e.g.see[5]）.Higham[4]studiedcarefullytherelationofarealnonsingularmatrixbetweenitsrealsquarerootsanditseigenvalues.AlefeldandSchneider[1]pointedoutthatforanynonsingularM-ma-trixthereisoneandonlyoneM-matrixasitssquareroot.Inthispaper,westudyona

简介：讨论向量值函数的Banach代数H^∞（D；X）的极大理想空间的拓扑性质和代数性质，得到了若干结果。