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简介:Inthispaperthebifurcationsolutionbranchesofasemi-linearellipticproblemarestudied,anditsextendedsystemsareconstructed.
简介:Theimpulsivesolutionforasemi-linearsingularlyperturbeddifferential-differenceequationisstudied.Usingthemethodsofboundaryfunctionandfractionalsteps,weconstructtheformulaasymptoticexpansionoftheproblem.Atthesametime,Basedonsewingtechniques,theexistenceofthesmoothimpulsivesolutionandtheuniformvalidityoftheasymptoticexpansionareproved.
简介:作者在三种空格尺寸,到Dirichlet的题目,Neumann,或其它种边界控制导致相应的起始边界的值问题的well-posedness的任何东西为立方的半线性的波浪方程证明全球准确边界是可控制性。精力的指数的腐烂首先与一些边界状况为立方的半线性的波浪方程被建立由更多样地方法,哪个还原剂全球准确边界可控制性问题到本地的。证明被执行与一致[2,15]。然后那被发展了在的一个建设性的方法[13]被用来学习本地问题。特别当这个区域是补充星的时,控制功能仅仅需要在边界的一个相对开的子集上被使用,这被获得。为立方的Klein-Gordon方程,全球准确边界可控制性的类似的结果被如此的一个想法证明。
简介:Wediscusstheincompletesemi-iterativemethod(ISIM)foranapproximatesolutionofalinearfixedpointequationsx=Tx+cwithaboundedlinearoperatorTactingonacomplexBanachspaceXsuchthatitsresolventhasapoleoforderkatthepoint1.SufficientconditionsfortheconvergenceofISIMtoasolutionofx=Tx+c,wherecbelongstotherangespaceof(I-T)k,areestablished.WeshowthattheISIMhasanattractivefeaturethatitisusuallyconvergentevenwhenthespectralradiusoftheoperatorTisgreaterthan1andInd1T≥1.ApplicationsinfiniteMarkovchainisconsideredandillustrativeexamplesarereported,showingtheconvergencerateoftheISIMisveryhigh.
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简介:Hypothesistestingfortheparametriccomponentinthepartiallinearerrors-in-variables(EV)regressionmodelsisdiscussedinthispaper.Basedonthecorrectedprofileleastsquareestimator,fiveteststatisticsareproposedandtheasymptoticnulldistributionsofthemarededuced.Simulationshavebeendonetoshowtheperformanceoftheseteststatisticsundernullandalternativehypothesis.
简介:InthisnotewediscusstheannihilatingpropertiesofsequencesoverZ/(m).Byconsideringthelinearcomplexityandtheannihilatorstructure,wederivetheuniquenessconditionfortheminimalpolynomial,andsomerelatedresultsofdecimationsequences.
简介:LetGbeanonabelianfinitegroup.ThenIrr(G/G′)isanabeliangroupunderthemultiplicationofcharactersandactsonthesetofnon-linearirreduciblecharactersofGviathemultiplicationofcharacters.Thepurposeofthispaperistoestablishsomefactsabouttheactionoflinearcharactergrouponnon-linearirreduciblecharactersanddeterminethestructuresofgroupsGforwhicheitheralltheorbitkernelsaretrivialorthenumberoforbitsisatmosttwo.Usingtheestablishedresultsonthisaction,itisveryeasytoclassifygroupsGhavingatmostthreenomlinearirreduciblecharacters.
简介:Thepaperproposestheidentificationmethodoflinearandnon-linearchromatographicsystem.IsothermsandlumpedmasstransfercoefficientsofchromatographyseparatingisomersorbitolandmannitolonD80adsorbentaredetermined.Theanalysesofrootmeansquareerrorofchromatographyelutioncurvesarecarriedout.Theresultsshowthatthesystemstudiedisnon-linearandthetheoreticalelutioncurvesofthenon-linearchromatographicmodelaremoreaccuratethanthoseofthelinearchromatographicmodel,Resultsofparametersensitivityanalysesshowthatelutioncurvesofnon-linearchromatopraphicseparationaremoresensitivetothevariationofparameter“ai”intheadsorptionisothermsQi=Ci^*/(ai+biCi^*)thantothevariationofparameter"bi”aswellaslumpedmasstransfercoefficients.