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1.
REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS 总被引:1,自引:0,他引:1
1IntroductionThestudyoflllallymathematicalphysicsproblemsleadstosolvingoperatorequatiollsofthefirstkind,andtheoperatorequatiollsofthefirstkindaretypicallyill--posedprobellis[1,2,3,4].Themethodsforsolvillgill-posedproblellishavebeenstudiedbyagreatnumberofresearchers.WementionTikhonovandArsellill[2],Morozov[3]IGroetscll[4],Engll51,HouandLi['],ChenandHouI7]alldoillerscholars.Illtheirresearches,they11avediscussedtheproblemoffindingstableapproxilllatesolutiollsand11aveillvestigatedtileconverge… 相似文献
2.
1.IntroductionandMainResultThenonlinearSchr6dingerequationshavebeenextensivelystudiedin[3,5,6,8,9],whereequationsareofthefollowingtype:In[l],anothertypeofequationshasbeenstudiedSincetheequalityofenergydoesnothold,theGalerkinmethodisused.Inthispaper)wewillstudythepropertyofequationsofthe'secondtype,wherewemakethechoiceoffi=R:.BecauseoftheunboundednessofR',wecannotusetheGalerkinmethod,andweuseothermethodtoobtaintheaDDroximatesolutions.Inthispaper,firstlyweconsidertheglobalweaksolutionsofthe… 相似文献
3.
张伟年 《应用数学学报(英文版)》1997,13(4):395-404
1.IntroductionThepolynomialdifferentialequationofdegreep qwherep2l,q21areintegersandx20,y20,a>0arerealnumber,asknownin[12],describesthedynamicalbehaviorsofmulti-molecularbiochemicalreactionHerex,yandp,qdenoterespectivelytheconcentrationsofsubstancesandnumbersofmolecules.UsuallyEq.(1.1)iscalled"TI-moleculesmodel"withn~p q.LikePrigogine'sB.....l.t.rI4],Higgins'm.del[5]andTyson-Lighe'smodel[6],itisofsignificanceinourunderstandingofthephenomenaofnonequilibriumstates[3].Thecaseofn=3isdiscussedp… 相似文献
4.
A CLASS OF BIDIMENSIONAL NONSEPARABLEWAVELET PACKETS 总被引:1,自引:0,他引:1
1 IntroductionIn [1], CoifnThu, Meyer, alld Wickerhauser introduced orthogonal wavelet packets for L'(R)and. by using tensor products, collstructed orthogonal wave1et packets iu L'(R'). In [2], Chuial1d Li studied l1onorthogonal wave1et packets and tlieir dual wavelet packets in tlie u11ivariatecase, tl1us generalizing the ortllorgonal wavelet packets of [1]. Ill [3], Slien constructed noutensorwavelet packets in L'(R' ). Applicatious Of wavelet packets in signal processing and compressi… 相似文献
5.
1.IntroductionTheproportionalhazardsregressionmodelisasemiparametricmodel.Theloglikelihoodforthismodelisasumoverrisksets.Theperturbationofoneobservationedictsseveraloftheserisksets.Thus,theassessmentofcaseinfluenceismorecomplexforthismodelthanlinearandgeneralizedlinearmodels.TheglobalialluenceofindividualcaseonregressionparameterestimatesforCox'smodelhasbeenanalysedbyCainandLange[4],ReidandCrepeaull4],etal.TheideaofdtherentiationinsteadofdeletionisprominentinthelocalinduenceapproachofCook[… 相似文献
6.
李为民 《数学物理学报(B辑英文版)》1997,(4)
1IntroductionConsiderableattelltionhasbeendevotedtotilesemigroupoftheelldomorphislllsofagraph,inparticular,thesemigroupofthestrongendomorpllisnasofagraph,seesurvey[1].Themainpurposeoftheseresearchesliesintheapplicatiollsofthealgebraictheoryofsendgroupstothetheoryofgraphs.ItiswellknowllthatoneofthemostimportantconceptsillselltigrouptheoryisGreen'srelations.In[2],thecharacterizatiollofGreen'srelationsonsEnd(G),themolloidofthestrongendomorphisnisofagrapllG.isgiven.LetSbeasemigroup.Thenotation… 相似文献
7.
孙顺华 《数学物理学报(B辑英文版)》1983,(2)
There has been much work (cf. [1], [4], [7]-[12]and references of [8]) on the stabilization of hyperbolic systems. Most of the papers, with the exception of [4] and[12], are concerned only with feedbacklaws such that the resulting systems are dissipative. As is pointed out at the beginning of [7], the dissipative property demands 相似文献
8.
1IntroductionConsiderRiccatiequationwithperiodiccoefficientsZhaoHuaizhongin[21gavetwotheoremsTheorem1IfforA(x)20x6[0,ZT],1.If(2)isanidentityeverywhereforx6[0,Zr],theny=--B(x)/ZA(x)isaperiodicsolutionofequation(1)withperiodZT.2.Otherwise,thenequation(1)has… 相似文献
9.
§1 IntroductionIn[1],wehaveintroducedtheconceptoftheGclassoffunctionsintheparabolicclass,andhaveprovedtheHldercontinuityofthiskindoffunctions.Theintroductionoftheconceptcontributestotheproofoftheregularityandexistenceofthesolutionforthefirstboundaryvalueproblemofparabolicequationindivergenceform.Here,weconsidertheapplicationsoftheGclassoffunctionsintheparabolicclasstothefirstboundaryvalueproblemofparabolicequation.Asweknow,ithasreceivedextensivestudyforthefirstboundaryvalueproblemofthefoll… 相似文献
10.
11.
1IntroductionInthepresentpaper,weconsidertheuniquenessofsolutionforthetransportationsystemwithinitialdatawherepanduaredensityandvelocityrespectively.Thesystemofcollservationlaws(1.l)describesthefluidmechanicswithconstantpressure,whichisusedinplasmaphysicswhosepressureisassumedtobeconstant.TheCauchyproblemforthissystemisnotwell-posedintheclassofboundedmeasurablefunctions(see[31).In[8],Z.Wang,F.HuangandX.DinghaveprovedtheealstenceofsolutionsdefinedbyLebesgue--Stieltjesintegral.Beforedetaildi… 相似文献
12.
是嘉鸿 《数学物理学报(B辑英文版)》1984,(3)
§ 1 Introduction The investigating of the existence of globally smooth solutions or the formation of singularities of the solutions for semilinear parabolic equations is of much importance in the theory of partial differential equation as well as in the application. The blowing up of the solutions is an interesting phenomenon and has been pointed out by many authors in various cases, such as by S. Kaplan [1], C. V. pao[2], H. Kawarada[3]etc. In[4], Chen studied the problem of 相似文献
13.
In this paper, authors investigate the order of growth and the hyper order of solutions of a class of the higher order linear differential equation, and improve results of M. Ozawa^[6], G. Gundersen^[7] and J.K. Langley^[8], Li Chun-hong^[11]. 相似文献
14.
0IntroductionInertialmanifolds(IM)arenewobjectsthathavebeenintroducedinrelationwiththestudyoflargetimebehaviorofnonlineardissipativePDE,see[1].In[2],theyareextendedtodiscretizeddynamicsstemmingfromdissipativePDE.Frommathematicalpointofview,thesearesmootllfiniteLipschitzmanifoldsthatareinviantbytheflowofassociatedsolutions,andattractallthetrajectorieswithexponentialspeed,see[1].Fromphysicalpointofview,IMmodeltheinteractionlawsbetweensmallandlargestructureofaturbulentflow,andrepresentsitspe… 相似文献
15.
SOME CLASSES OF UPPER EMBEDDABLE GRAPHS 总被引:7,自引:0,他引:7
1IntroductionSincetheintroductoryinvestigationofmaximumgenusbyNordhaus,Stewart,andWhite[3],theupperembeddabilityofgraphshasreceivedgreatemphasissofar.AlthoughLiu[16]andNebesky[9]haverespectivelyprovideddifferentnecessaryandsufficientconditionsontheupperembeddabilityofgraphs,weknowlessaboutwhatclassesofgraphsareupperembeddable.Jaeger,PayanandXuong[10]provedthateverygraphobtainedbyconnecting(withanynumberofedges)twovertex-disjointupperembeddablegraphswithevenBettinumberisupperembeddable.Skov… 相似文献
16.
PROPERTIES OF CHARACTERISTIC FUNCTIONS AND EXISTENCE OF LIMIT CYCLES OF LI(?)NARD''''S EQUATION 总被引:1,自引:0,他引:1
陈秀东 《数学年刊B辑(英文版)》1983,(2)
In this paper, the author considers Lienard's equation, studies the properties of so-called characteristic functions and gives three theorems which ensure that the equation has at least one limit cycle. The theorems generlize Filippov's Theorem which is a repesentative result, Dragilev's Theorem, Theorem 1, 2 of[6], Theorem 9 of[8] and Theorems 1, 2 of[9] respectively. 相似文献
17.
韦忠礼 《数学物理学报(B辑英文版)》1997,(1)
1IntroductionThetheoryofimpulsivedifferelltialequationsisanimportantbranchofdeferentialequations(see[1]).Inthispapertweconsidertheetistenceofininilnaland~malsolutionsfortheperindicboundaryValueproblems(PBVP)ofnonlinearimpulsiveintegrodmerentialequationsofmiredtypeinBanachspacewherejEC[JxExExE,E],J=[0,Zx],EisarealBanachspace10相似文献
18.
Cemil Tunc 《Annals of Differential Equations》2006,22(1):7-12
In this paper, an instability criteria for nonlinear ordinary vector differential equation (1.1) is given. The result extends and includes the results of previous authors in ([1], [27]). 相似文献
19.
1IntroductionTherehavebeensomeinterestingresultsinstudyingtheflowofconvexhypersurfacesintheEuclideanspacebyfunctionsOftheirprincipalcurvatures.BeingviewedasanextensionOfthetheoremOfGageandHedton[3],Huiskellprovedin16]thatdeformingconvexhypersurforesbytheirmeancurysturefunctiollsconvergetoaroundsphereinasense.FollowingthemethodsOfHuiskell[6]andTso[IOI,Chowshowedin[1]thatthesame.statementasin.[6]reconstrueifthemeancurvatureisreplacedbythen-throotoftheGauss-Kroneckercurvature.FOrgenerality… 相似文献
20.
1IntroductionLeray-Schauderdegree,anditsvariantssuchascoinidencedegree113]andtopologicaltransversality[4],isanefficienttooltostudythesolvabilityofboundaryvalueproblemsfornonlineardifferentialequations,especiallyf'Orsemilineardifferentialequations.Bytherec… 相似文献