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1.
THE SECOND EXPONENT SET OF PRIMITIVE DIGRAPHS 总被引:2,自引:0,他引:2
51.IntroductionandNotationsLetD=(V,E)beadigraphandL(D)denotethesetofcyclelengthsofD.ForuEVandintegeri21,letfo(u):={vEVIthereedestsadirectedwalkoflengthifromutov}.WedelveRo(u):={u}.Letu,vEV.IfN (v)=N (v)andN--(v)=N--(v),thenwecanvacopyofu.LotDbeaprimitivedigraphand7(D)denotetheexponentofD.In1950,H.WielandtI61foundthat7(D)5(n--1)' 1andshowedthatthereisapiquedigraphthatattainsthisbound.In1964,A.L.DulmageandN.S.Mendelsohn[2]ObservedthattherearegapsintheexponentsetEd={ry(D)IDEPD.}… 相似文献
2.
胡家信 《数学物理学报(B辑英文版)》1997,(4)
1IntroductionWeareconcernedwiththefollowing2x2nonstrictly11yperbolicsystemofconservationlawswithinitialdatawhere(m,yi),i=1,2,3,areconstantstates.Wecall(1.1),(1.2)aRiemanll-typeproblelll,.Byaweaksolutionto(1.1),(1.2)wemeanapairofgeneralizedfullctions('IL.l,)(x,y.t)satisfyinglffeceivedFeb.17,1995;revisedApr.23,1996.SuPPortedbyNSFC(YOuth).foreacllof(T,y,f)6C:(R'xR )alld(u,U)(:r,;(/,f)~(it..())(x,y.0)ast-- 0 forallllostevery(x,if/,t)ERZxR .111(1.3).wealwaysassulllethat('(ti))(T,y.f)isals… 相似文献
3.
In this article, the zeros of solutions of differential equation f(k)(z)+A(z)f(z) = 0, (*) are studied, where k 2, A(z) = B(ez), B(ζ) = g1(1/ζ) + g2(ζ), g1 and g2 being entire functions with g2 transcendental and σ(g2) not equal to a positive integer or infinity. It is shown that any linearly independent solutions f1, f2, . . . , fk of Eq.(*) satisfy λe(f1 . . . fk) ≥σ(g2) under the condition that fj(z) and fj(z+ 2πi) (j = 1, . . . , k) are linearly dependent. 相似文献
4.
1IntroductionInthispaper,weconsidertheexistenceofpositivesolutionsoftheequationwithoneofthefollowingsetsofboundaryvalueconditionsWhenthefunctionf(x,y)p)inequation(l.1)isoftheformf(x,y,p)Hy,theboundaryvalueproblem(l.1)-(1.2)describesthedeformationsofanelasticbeambothofwhoseendssimplysupportedat0and1,andtheboundaryvalueproblem(1.l)-(l.3)describesanelasticbeamwithoneofitsendsimplysupportedandtheotherendclampedbyslidingclamps.In[11,Aftabizadehshowedtheexistenceofasolutionto(l.l)-(l.2)undertherest… 相似文献
5.
LIU Kangsheng 《数学年刊B辑(英文版)》2000,21(1):71-76
1.IntroductionConsiderthefollowingillitial-boundaryvalueproblemLetD(A)={vEHI(fl)ItvEL'(fl)},V~Ha(~~),H~L'(fl).Thenthefiniteenergystatespacesofthesystems(1.1),(1.2)are,respectively,uk~D(A)xV,U.~VxH.ConsiderthegeneralizedfunctionspaceH-1~V'DHDV.ForbEC'(fl)anduEH-',wedefinebaEH-1by(bu)(()~u(bo,V(6HJ(n).(1.3)WehaveusedtheSobolevspaces.Wereferthereadersto[1]fortheknowledgeofthosespaces.Definition1.1.Thesystem(1.1)issaidtobeexactlycontrollableinukbyH-1-controlsifforevery(yo,yi)6uk,th… 相似文献
6.
o.IntroductionInthispaperwedealwithqualltitativeKorovkintypetheoremsfortheaPproalmationbyboundedlinearoperatorsdefinedonC(X),andinparticularbypositiveones.HereC(X)=CR(X,d)denotestheBanachlatticeofreal-valuedcontinuousfunctionsdefinedonthecompactmetricspace(X,d)withnormgivenbylIfIlx=ma-xlf(x)I,xEX.WealsoassumethatXhasdiameterd(X)>o.ThefirstsuchtheoremforgeneralpositivelinearoperatorsandX=[a,b]equippedwiththeeuclidiandistanceisduetoR.Mamedovl4].Forspaces(X,d)beingmetricallyconvexinthes… 相似文献
7.
LI Jiayu 《数学年刊B辑(英文版)》2000,21(1):121-130
1.IntroductionLetMandNbetwoRiemannianmanifoldsofdimensionmandn.Supposetheirmetricsaregivenbydski~giid-c'dxianddsX~h.odu"duo.Letu:M~Nbeasmoothmap.Theenergydensityfunctionofuisgivenbye(u)~g'jCZh.,~Ical'.ThetotalenergyisdefinedbyE(u)=[e(u)dx.iMAmappingu:M~NiscalledaharmonicmapifitisaclassicalsolutionoftheEulerLagrangeequationofE(u)whichcanbewrittenasT"(U(X))~AU"(X) r3.(U(X))ZZg.j~0,whereT(u)iscalledthetensionfieldofu.Thecorrespondingparabolicsystemwithinitialdata"o(x)knownastheheatequ… 相似文献
8.
ZHANG Xu 《数学年刊B辑(英文版)》1999,20(3):378-384
1.IntroductionConsiderthefollowingsemilinearwaveequationwithalocallydistributedcofltroller:whereI~g,11~$,nCR"isaboundeddomainwithaboundaryoffECI)andforeachtE[0,co),G(t)isasubdomainoffi.Intheabove,y(t,x)isthestateandXG(t)(x)u(t,x)isthecolltrol.Thus,u(t,x)istheintensityofthecontrolactionandG(t)isthelocationandtheshapeofthecontroller.Wewillallowthelocationandtheshapeofthecontrollertochange.LetU=Lfo.(0'co;L'(fl))andletQbeafamilyofset--valuedfunctionsG(t)definedon[0,co)takingsubdomainsoffias… 相似文献
9.
THE FUNCTION dk(n) ATCONSECUTIVE INTEGERS 总被引:1,自引:0,他引:1
MENG Zaizhao 《数学年刊B辑(英文版)》1999,20(4):473-478
51.IntroductionForallpositiveintegersk32,wedefinethefunctionsdk(n)bytheidentityWeknowthatdk(n)isamultiplicativefunction.Ifthestandardformofnisn=p?'p:'tthenwehavethefollowingformu1aTheaboveformulascanbefoundin[4].Inl984,Heath-Br.wnl2]showedthatforsufficientlylargex,#{nSx'd(n)=d(n 1)}>>x(logx)-'.(1.3)Inl987,Hi1debrand[31improvedthelowerboundto#{n5x:d(n)=d(n 1)}>>x(loglogx)-'.(1.4)Inthispaper5weprovethefollowingresult.Theorem.Smposek(22)isapositiveinteger.FOrsopcientlylarpex,#Ak(x):=#{nS… 相似文献
10.
REMARKS ON h-TRANSFORM AND DRIFT 总被引:1,自引:1,他引:0
Ying Jiangang 《数学年刊B辑(英文版)》1998,19(4):473-478
51.h-TransformsInthispaperwearegoingtogiveaformulacharacterizingRevuzmeasuresunderhtrallsform.AssumethatXisarightMarkovprocesswithstatespace(E,B)whichismel,rizable,constructedonthecanonicalspacefiofrightcontinuouspaths,and(Pt)and(Ua)arethesemigroupandresolventofXrespectively.LethbeanexcessivefunctionandletEh:={0相似文献
11.
In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Virasoro algebras. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined. 相似文献
12.
蒋志洪 《数学年刊A辑(中文版)》2002,(4)
本文利用广义限制李代数的概念和应用Frobenius代数的一些性质来研究广义限制李代数的广义限制完备上同调,并利用广义限制上同调与通常上同调的关系尝试着给出一种计算系数为不可约模的阶化Cartan型李代数上同调的方法. 相似文献
13.
In this article, we determine the Cartan invariants for Zassenhaus algebras W(1,n). This is done by reducing representations of generalized restricted Cartan type Lie algebra W(1,n) to representations of restricted Lie algebras W(1,1) and of ± b𝔰 ± b𝔩(2), and then extending Feldvoss-Nakano's argument on W(1,1) to the case W(1,n). 相似文献
14.
利用广义限制李代数的概念和性质,研究Contact代数K(m,n)的不可约表示,给出了特征标高度大于等于2且小于P-3的不可约K(m,n)-模的结构. 相似文献
15.
利用广义限制李代数的概念和性质,研究Contact代数K(m,n)的不可约表示,给出了特征标高度大于等于2且小于p-3的不可约K(m,n)-模的结构. 相似文献
16.
Structures of Not-finitely Graded Lie Algebras Related to Generalized Heisenberg–Virasoro Algebras 下载免费PDF全文
In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Heisenberg–Virasoro algebras. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined. 相似文献
17.
In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also construct restricted Lie 2-algebras from A(m)-algebras, restricted Leibniz algebras, restricted right-symmetric algebras. Finally, we prove that there is a one-to-one correspondence between strict restricted Lie 2-algebras and crossed modules of restricted Lie algebras. 相似文献
18.
19.
In an article by Michaelis, a class of infinite-dimensional Lie bialgebras containing the Virasoro algebra was presented. This type of Lie bialgebras was classified by Ng and Taft. In a recent article by Song and Su, Lie bialgebra structures on graded Lie algebras of generalized Witt type with finite dimensional homogeneous components were considered. In this article we consider Lie bialgebra structures on the graded Lie algebras of generalized Witt type with infinite dimensional homogeneous components. By proving that the first cohomology group H1(𝒲, 𝒲 ? 𝒲) is trivial for any graded Lie algebras 𝒲 of generalized Witt type with infinite dimensional homogeneous components, we obtain that all such Lie bialgebras are triangular coboundary. 相似文献
20.
The first cohomology group of generalized loop Virasoro algebras with coefficients
in the tensor product of its adjoint module is shown to be trivial. The result is used
to prove that Lie bialgebra structures on generalized loop Virasoro algebras are coboundary
triangular. The authors generalize the results to generalized map Virasoro algebras. 相似文献