简介:NearlyorthogonalLatinsquaresareusefulforconductingexperimentseliminatingheterogeneityintwodirectionsandusingdifferentinterventionseachateachlevel.Inthispaper,someconstructionsofmutuallynearlyorthogonalLatinsquaresareprovided.Itisprovedthatthereexist3MNOLS(2m)ifandonlyifm≥3ndthereexist4MNOLS(2m)ifandonlyifm≥4withsomepossibleexceptions.
简介:Byacoincidencetheorem,someexistencetheoremsofsolutionsareprovedforfourtypesofgeneralizedvectorequilibriumproblemswithmovingcones.Applicationstothegeneralizedsemi-infiniteprogramswiththegeneralizedvectorequilibriumconstraintsunderthemildconditionsarealsogiven.Theresultsofthispaperunifyandimprovethecorrespondingresultsinthepreviousliterature.
简介:InthispapertheDirichletproblemforp-Laplacian(p>1)isconsidered.UndersuitableconditionsandbyusingcriticalpointtheorytheexistenceofsolutionsfortheDirichletproblemisstudied,andsomeresultsintheliteratureareimproved.
简介:<正>Letf(z)beanentirefunctionoforderλandoffinitelowerorderμ.Ifthezerosoff(z)accumulateinthevicinityofafinitenumberofrays,then(a)λisfinite;(b)foreveryarbitrarynumberk1>1,thereexistsk2>1suchthatT(k1r,f)≤k2T(r,f)forallr≥r0.Applyingtheaboveresults,weprovethatiff(z)isextremalforYang’sinequalityp=g/2,then(c)everydeficientvalueoff(z)isalsoitsasymptoticvalue;(d)everyasymptoticvalueoff(z)isalsoitsdeficientvalue;(e)λ=μ;(f)∑a≠∞δ5(a,f)≤1-k(μ).
简介:我们学习公制的n躺着代数学G\mathcal的结构{G}在复杂领域上。让G=S?R\mathcal{G}=\mathcal{S}\oplus\mathcal{R}是Levi分解,在此R\mathcal{R}是G\mathcal的激进分子{G}并且S\mathcal{S}是G\mathcal的强壮的semisimplesubalgebra{G}。由m(G)表示m\left(\mathcal{G}\right)不能分解的公制的n躺着代数学和R^\mathcal的所有最小的理想的数字{R}^\botR的直角的补充。我们获得下列结果。作为S\mathcal{S}-modules,R^\mathcal{R}^\bot对双模块同形${\mathcal{G}\mathord{\left/{\vphantom{\mathcal{G}\mathcal{R}}}\right。\kern-\nulldelimiterspace}\mathcal{R}}${\mathcal{G}\mathord{\left/{\vphantom{\mathcal{G}\mathcal{R}}}\right。\kern-\nulldelimiterspace}\mathcal{R}}。向量空间的尺寸在G\mathcal上由所有nondegenerate跨越了不变的对称的双线性的形式{G}等于G\mathcal上的某些线性转变的向量空间的{G};这种尺寸比大或等于+1m\left到m(G)(\mathcal{G}\right)+1。R\mathcal的centralizer{R}在G\mathcal{G}等于所有最小的理想的和;它是R^\mathcal的直接的和{R}^\bot和G\mathcal的中心{G}。最后,G\mathcal{G}没有强壮的semisimple理想如果并且仅当R^椠?楤晳癡?
简介:Inthispaper,wediscusstheclassicalriskprocesswithstochasticreturnoninvestment.Weprovesomepropertiesoftheruinprobability,thesupremumdistributionbeforeruinandthesurplusdistributionatthetimeofruinandderivetheintegro-differentialequationssatisfiedbythesedistributionsrespectively.
简介:ThelargescalelinearsystemswithM-matricesoftenappearinawidevarietyofareasofphysical,fluiddynamicsandeconomicsciences.Itisreportedin[1]thattheconvergencerateoftheIMGSmethod,withthepreconditionerI+S_α,issuperiortothatofthebasicSORiterativemethodfortheM-matrix.ThispaperconsidersthepreconditionedJacobi(PJ)methodwiththepreconditionerP=I+S_α+S_β,andprovestheoreticallythattheconvergencerateofthePJmethodisbetterthanthatofthebasicAORmethod.Numericalexamplesareprovidedtoillustratethemainresultsobtained.
简介:MULTIPLICITYRESULTSFORAFOURTH-ORDERBOUNDARYVALUEPROBLEMMaRuyun(马如云)MaQinsheng(马勤生)(ReceivedOct.5.1994:CommunicatedbyLinZongch...
简介:Thispaperdealswiththeinitial-valueproblemofnonlinearevolutioninclusionsoftheformdB(u)/dt+A(u)f,v0∈B(u)(0),wheretheoperatorBisinducedbyasubgradientandAispseudomonotone.Existencetheoremisestablishedviathetimediscretizationtechniqueandtheregularizationmethod.Incontrasttothepreviousresults,hereweimposeaweakercoercivenessconditiononAandremovethestrongmonotonicityfromB.