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1.
In1969,Sweedler[1]giventhedecompositiontheoreyofcoalgebraswhicharecocommu-tative.In1975,Kaplansky[2]showedthatanycoalgebracanbeuniquelydecomposedintoadirectsumofitsindecomposablesubcoalgebras.From1978to1992,Shudo[3]andXu[4]consructuredtheindecomposabledirectsumcomponentsofacoalggebra,viadefineequivalenceralationforthesetofsimplesubcoalgebras.Asweknow,themodolecoalgebraisthennaturalgeneralizationofcoalgebra.AndittakesplayanimportentroleintheDrinfelddouble.Inthispaper,wediscussthedecompositio… 相似文献
2.
TheconceptofthefuzzysubgroupsintroducedinRosenfeld[l],wasappliedtogeneralizesomeofthebasicconceptsofalgebra.In[2,3,4]LuWangjindefinedfuzzysubringsandfuzzyideals,introducedtheoperationsonfuzzyidea1s.In[5]theautherdiscussedaboutthenatureoffuzzysubringsbythenestedsubring.Butthepointwisedefinitionsoffuzzysubgroupsandfuzzysubringsarerare.Inthispaper,theautherprogramsanddiscussesthefuzzysubrings,fuzzyidealsandfuzzyprimeidealsbyfuzzyPoints..5l.PreliminariesLetusrecallsomeconceptsoccurrjnginthe[2,3… 相似文献
3.
张志涛 《应用数学学报(英文版)》1999,15(2):153-162
1.IntroductionTherearealotofresultsaboutHammersteinintegralequations(see[1]),butsupen-linearproblemsaredifficult;thereareonlyafewresultsaboutit.In[2,3]theauthorsstudysuperliniearintegralequations;in[4]theauthorsstudysystemofsuperlinearintegralequatio... 相似文献
4.
TWO ALGORITHMS FOR LC~1 UNCONSTRAINED OPTIMIZATION 总被引:3,自引:0,他引:3
Wen-yu Sun 《计算数学(英文版)》2000,(6)
1. IntroductionThe LCI optimization problems exist extensively in various optimization problems.FOr example, the problems from nonlinear complementarity) variational inequality andCd nonlinear programming can be formed as LCI optimization problems. In addition,LCI optimization problems also arise from the extended linear-quadratic programmingproblems, nonlinear minimax problems, stochastic optimization problems and somesemi-infinite programs. See [6] [9] [11] [13] [14] [151 [17] [21].In t… 相似文献
5.
1. IntroductionThe geometry of quadrics in finite-dimensional projective spaces has been studiedby E.J.F. Primrose[1], D.K. Ray-ChaudhUxi[','] and I.M. Chakravarti[4]. In 1993, 1.M.Chakravartils] derived some association schemes from nondegenerate and degenerate Hermitian varieties. In [6], we constructed association schemes from the set of isotropic points inpseudthsymplectic spaces. In this paper) we will construct three-class association schemesfrom nolldegenerate quadrics.Let Fi be … 相似文献
6.
In recent years due to investigations on some practical problems it is found solutions of initial or initial-boundary value problems for semilinear heat equation and other equations may blow up or quench. See, for example, [1]-[9]. In [1] S. Kaplan discussed general parabolic equation 相似文献
7.
LU Jie 《数学年刊B辑(英文版)》2000,21(1):25-32
1.IntroductionIntherecentyearsthereisagrowinginterestininvestigatingtheconnectionbetweenthedynamicsofacontinuousmapofafinitegraphandthetopologicalstructureoftheinverselimitspaceusingthemapasasolebondingmaptsincesomeattractorofadynamicalsystemcanbeshowntobetheinverselimitspaceofacontinuousmapofafinitegraph["](seeforinstance[1,4,7,8,12]).In[1]BargeandDiamondprovedthatapiecewisemonotonecontinuousmapofafinitegraphhastopologicalentropyzeroifandonlyiftheinverselimitspaceusingthismapasasolebondingmap… 相似文献
8.
1.IntroductionPersistenceofpopulationsplaysanimportantroleinmathematicalecology.Inrecentyears)muchattentionhasbeengiventothepersistenceofnonautomonouspopulationmodelsll--6].[1]proposedtheconceptofpersistenceinthemeanofpopulations.Thisisofimportancebecausenotonlyitprovidesawaytocharacterizethepersistenceofpopula-nons,butalsothereareonlythresholdsbetweenpersistenceinthemeanandtheextinctionofpopulationsforgeneralnonautomonouspopulationmodels.In[2]thethresholdwasestablishedforone-dimensionalnonaut… 相似文献
9.
正[1, Theorem 4.4] states that every infinite dimensional Banach space admits a homogenous measure of noncompactness not equivalent to the Hausdorff measure. Howevere, there is a gap in the proof. In fact,we found that [1, Lemma 4.3] is not true. In this erratum, we give a corrected proof of [1, Theorem 4.4]. 相似文献
10.
Wen Li 《计算数学(英文版)》1998,(4)
1.IntroductionRecently,manymathematicalliteratureshaveprovidedsomenewiterativemeth-odsforsolvingthelinearsystem.Kuang[2]presentedatwo-parameteriterativemethodcalledTORmethod,whichiseffectivetogivethenumericalsolutionofpartialdif-ferentialequations.Wang[,']extendedtheTORmethodtotheGTORmethedandimprovessomeresultsof[3,11,12].In[5],LialsodiscussedtheGTORmethod,andextendedthecorrespondingresultsof[10,11].Recently3SongandDai[9]presentedthemulti-parametersoverrelaxation(MPOR)method,whosespe… 相似文献
11.
1.IntroductionInpracticeitisoftennecessarytoestimatethenormilA--'llooofamatrixA.In[1]and[2]anestimateisgiven,undertheconditionwherenistheorderofthemainsA~(ail).Thecondition(2)indicatesthatAisastrictlydiagonallydominantmatrix.In[31wegeneralize(1)toTheleftinequalityholds,whenMisanL-matrix,lmiil>,F.Imijlforevery1andN=(nil)20.Theestimate(1)is,infact,anestimateofIIi(A)--'lloo,wherem(A)isthecomparativemainsofA[4].LetD=diagA,B=D--A.Thenm(A)=IDI--IBIandwhen(2)holds.Ingeneral,wetaketheuppe… 相似文献
12.
PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH
PIECEWISE CONSTANT ARGUMENT 总被引:7,自引:0,他引:7
51.IntroductionDifferentialequationswithpiecewiseconstantarguments(DEPCA)candescribehybriddynandcalsystemsandthereforecombinepropertiesofbothdtherentialequationsanddifferenceeqllations.Theyhaveapplicationsincertainbiomedicalmodels[1].In[2,3]andthereferencesthereintherehavebeenalotofresultsconcerningDEPCA.Nevertheless,allofthemdealtwiththestabilityperiodicity,andoscillationetc-ofsolutionsofDEPCA.Re-cently,[4]disscusedtheetistenceofalInostperiodicsolutionsofDEPCA.Inthispaper,wedefineps… 相似文献
13.
H. X. Rui 《计算数学(英文版)》1996,14(4):291-300
1.IntroductionDomaindecompositionasanewmethodofcomputationalmathematics,waJsdevel-opedsincethedevelopmentofparallelcomputersandmultiprocessorsupercomputers-Usingdomaindecompositionwecandecreasethescaleoftheproblemandimplementthesub-problemsonparallelcomputer.Fromatechnicalpointofviewmostofdo-maindecompositionmethodsconsideredsofarhavebeendealingwithfiniteelementmethods.In[1,2]ZhangandHuanghavegivenakindofnonoverlappingdomaindecompositionprocedurewithpiecewiselinearfiniteelementapproximation.… 相似文献
14.
In 2002, Agrawal, Kayal and Saxena presented a polynomial time primality testing algorithm(the AKS algorithm) in [1], which can determine whether an input number is prime or composite.Papers [2] and [3] play an important role in their primality testing algorithm. In [3], the authors 相似文献
15.
51.IntroductionThespectralfiowforaoneparameterfamilyoflinearselfadjointFredholmoperatorsisintroducedbyAtiyah-Patodi-Singerl2]intheirstudyofindextheoryonmanifoldswithboundary.Sincethenothersignificantapplicationshavebeenfound.In[17],J.RobbinandD.SalamonstudiedindetailthespectralflowforthecurvesoflinearselfadjointFredhomoperatorswithinvertibleoperatorsattheendpointsandprovedanindextheorem.In[7]and[8]thenotionofthespectralflowwasgeneralizedtothehigherdimensionalcasebyX.DaiandW.Zhang.Inthisp… 相似文献
16.
In [1] we investigated the problems of calculus of variations with strong non-linearity. In[2] we already indecated its Euler equation is evidently the following elliptic type equation of divergent form with strongly increasing coefficient 相似文献
17.
§ 1.Introduction In this paper,we study the asymptotic behavior of minimizers{ uε} ε>0 (ε→ 0 ) of thevariational probleminf∫Ω[εp- 1 | Du| p + 1εW(x,u) ] dx:u∈ W1 ,p(Ω ) ,u =g,x∈ Ω (Pε)where p>1 ,N≥ 2 ,andΩ RN is a bounded open domain with Ω∈C2 . This kind of problems comes from the theory of phase transitions and are widelystudied in recent years.In [1 ]— [1 4] ,the authors investigated these problems underthe integral constraint∫Ωudx =constant,In [1 5]— [1 6] ,… 相似文献
18.
Xiao-hai Liao Ai-hui Zhou 《计算数学(英文版)》1998,16(3):213-220
1.IntroductionTheextrapolationmethodhasbecomeanimportanttechniquetoobtainmoreaccuratenumericalsolutionssinceitwasfirstestablishedbyruchardsonin1926.Theapplicationsofextrapolationmethodinthefinitdifferencecanbefoundin[14].In1983,Q.Lin,T.LhandS.Shen[8]intro… 相似文献
19.
1. Introduction.In 1962, Carleson [2] proved the well known Carleson measure theorem for Hardy space. In 1975. Hastings [5] obtained an analogous theorem for Bergman space. In this paper we prove a Carleson type theorem for the quasi-normal weighted Bergman space using a way other than Hastings'.As an application we obtain a theorem on multiplier theory. This generalizes 相似文献
20.
张升海 《应用数学学报(英文版)》1998,14(1):58-67
1.IntroductionRecentlymanyresultshavebeenobtainedfordistributedbilinearsystemsl3'7'8].In[3]thecontrollabilityofabilinearsystem%=Aw(t) p(t)Bw(t)wasstudied,whereAistheindnitesimalgeneratorofaCosemigroupofboundedlinearoperatorsT(t)onaBanachspaceX.B:X-- 5isaboundedlinearoperator,andpELI([0,T];R)isacontrol.TheconditionsforelementsofEtobeaccessiblefromagiveninitialstatecoweregiven.Itisclearthattheystudiedthebilinearsysteminaspecialcase.In[8]theystudiedthesysteminamorespecialcasebecausetheyass… 相似文献