简介:Thispapergivesthedefinitionsandsomepropertiesofε-directionalderivateandε-subgradientsofcone-convexfunction.Fromthem,theoptimalityconditionsoflocalandglobaloptimalpointofunconstrainedcone-d.c.programmingaregained.Atlast,thedualitytheoremsofthisprogrammingarepresented.
简介:ThispaperdiscussestheidealstructureintensorproductABofC~*-algebraAandB,andintroducestheconceptofproperty(I)andproperty(K)withrespecttotheproblem.WhenAisanAF(orscattered)C~*-algebra,itisshownthatforanyC~*-algebraB,theidealsinABcanbeexpressedbythoseofAandB.
简介:Inthispaper,analmostP-stabletwo-stepsixth-orderHybridmethodwithphase-lagoforderinfinityandaclassexpliciteighth-orderObreckoffmethodswithphase-lagoforder10-24aredevelopedforthenumericalintegrationofthespecialsecond-orderperiodicinitial-valueproblems.Thesemethodshavetheadvantageofhigheralgebraicorderandconsiderablysmallerphase-tagcomparedwithsomemethodsin[1-6].Numericalexamplesindicatethatthesenewmethodsaremoreaccuratethanmethodsdevelopedby[1-6].
简介:Inthispaperwestudytheexistenceoflimitcycleforcubicsystem(E)3,ofKolmogorovtypewithaconicalgebraictrajectoryF2(x,y)=ax2+2bxy+cy2+dx+ey+f=0Ithasbeenprovedinmyformerpapersthat(E)3doesn’thaveanylimitcycleonthewholeplaneIfb2-ac≠0,Nowweareinvestigatingthecasewhereb2-ac=0.Weprovethesufficientandnecessaryformula(2)or(13)witbwhich(E)3musthaveaparabolictrajectoryF2(x,y)=0.Thentherewillnotbeanylimitcycleonthefullplane.Onthebasisofthis,weconclude:ThecubicsystemofKolmogorovtypewithanon-degeneratedquadraticalgebraictrajectoryonthewholeplanehasnolimitcycle.
简介:1.IntroductionThetwcawayerrorcomponentregressionmodelmsybeexpressedasif=o+
简介:探讨了Pro-C*-代数中的次正规元,给出了具有余等距对Pro-C*-代数中次正规元的一个代数特征.
简介:LetAandBbeC^*-algebras,SupposethatKisthealgebraofallcompactoperatoraonaseperableHilbertspace,andαisanactiononthestablealgebraκ×AinducedbySU(∞).ItisprovedthatifAisα-invariantstableisomorphictoB1thenthereisa^*-isomorphismbetweenAandB.AnanalogousresultisobtainedbyconsideringOn×κ×Aintheplaceofκ×A,whereOnistheCuntsalgebra(3≤n<∞)。
简介:我们证明复杂c0上的每个2-homogeneous多项式有一个唯一的标准保存扩展到它的双性人双ℓ∞。