简介：Inthispaper,wediscusstheconvergenceoftheBroydenalgorithmswithrevisedsearchdirection.Undersomeinexactllnesearches,weprovethatthealgorithmsaregloballyconvergentforcontinuouslydifferentiablefunctionsandtherateofconvergenceofthealgorithmsisone-stepsuperlinearandn-stepsecond-orderforuniformlyconvexobjectivefunctions.

简介：ＯＮＡＣＬＡＳＳＯＦＡＮＩＳＯＴＲＯＰＩＣＤＩＦＦＵＳＩＯＮＥＱＵＡＴＩＯＮＳＯＮＡＣＬＡＳＳＯＦＡＮＩＳＯＴＲＯＰＩＣＤＩＦＦＵＳＩＯＮＥＱＵＡＴＩＯＮＳ￥ＧＡＯＨａｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｄａｎＵｎｉｖｅｒｓｉｔ...

简介：ItisanewresearchtopictocreatearationaljudgmentmatrixusingthecognitiontheorybecauseoftheconstructionofjudgmentmatrixinAHPinvolvingthedecision-maker'scognitiveactivities.Owingtothepresenceofuncertaininformationinthedecisionprocedure,theimproperuseoftheuncertaininformationwilldoubtlesscauseweightchanges.Inthispaper,weaddafeedforwardprocesspriortoconstructingthejudgmentmatrixsothatthedecisionmakercanuseboththecertainanduncertaininformationtogettheinitialuncertainroughjudgmentmatrix,andthenconvertitintoafuzzymatrix.Consequently,itwillbebetterfordecisionmakertoobtaintheroughsetoforderequivalentclassesthroughthedecisiongraph.Accordingtothequalitativeanalysis,thedecisionmakercaneasilyconstructthefinaljudgmentmatrixinstructedbytheroughsetcreatedearlier.

简介：SeveralsufficientconditionsforClassIaregiveninthispaper.

简介：Inthispaper,asufficientandnecessaryconditionisobtainedtoensurethatthespectrumofaclassof2n-orderweighteddifferentialoperatorsisdiscrete.TheproofisbasedonthemethodofcertainweightedSobolevspacestobecompactlyembeddedinweightedL^2(R).

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简介：1.IntroductionManyphysicalsystems,suchajsthemodynamics,electrodynamics,populationbiology,aregovernedbydifferentialequations,integrodifferentialequationsormoregenerallyfunctionaldifferentialevolutionequationsonBanachspace.Associatedoptimalcontrolprobl...

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简介：Assumeanunreliableworkstationperformingjobswitharandomservicetime,namely,itoccasionallybreaksdownbecauseofunexpectedinterruptions.Asaninterruptionreallyoccurs,thestationisinstantaneouslyrepairedandtheuncompletedjobisrestartedagainfromthebeginningtillajobiscompletedwithoutbeinginterrupted.ThetotalservicetimeisshowntobeNBUifandonlyifthetotaltimeittakestofinisheachjobwithinterruptionsisstochasticallylargerthanthatwithoutthem,irrespectiveofwhenandhowthebreakdownsoccur.Asanapplication,anonparametricprocedureisdevelopedtotestforthestrictNBUpropertyoftheservicetime.Finally,somenumericalsimulationsarepresentedaswell.

简介：ThispaperusesR-statisticsasprojectionindicestoconstructaclassofprojectionpursuit(PP)R-statisticsformultivariatetwosampletestsviaPPtechniques.Examplesarepresentedasapplicationstothelocationanddispersionproblems.

简介：Inthispaper,adifferenceschemewithnonuniformmeshesisestablishedfortheinitial-boundaryproblemofthenonlinearparabolicsystem.Itisprovedthatthedifferenceschemeissecondorderconvergentinspacestepandtimestep.

简介：Inthispaper,thepartialstabilizationproblemforaclassofnonlinearcontinuouscontrolsystemswithseparatedvariablesisinvestigated.SeveralstabilizingcontrollersareconstructedbasedonthepartialstabilitytheoryofLyapunovandthepropertyofM-matrix,andsomeofthesestabilizingcontrollersareonlyrelatedtopartialstatevariables.Thecontrollersconstructedhereareshowntoguaranteepartialasymptoticstabilityoftheclosed-loopsystemsandthesesufficientconditionsmaygivesomeinstructionstoactualengineeringapplication.Aexampleisalsogiventoillustratethedesignmethod.

简介：Wedeveloptheinterpolatedfiniteelementmethodtosolvesecond-orderhy-perbolicequations.Thestandardlinearfiniteelementsolutionisusedtogenerateanewsolutionbyquadraticinterpolationoveradjacentelements.Weprovethatthisinterpo-latedfiniteelementsolutionhassuperconvergence.Thismethodcaneasilybeappliedtogeneratingmoreaccurategradienteitherlocallyorglobally,dependingontheapplications.Thismethodisalsocompletelyvectorizableandparallelizabletotaketheadvantagesofmoderncomputerstructures.Severalnumericalexamplesarepresentedtoconfirmourtheoreticalanalysis.

简介：Inthispaper,aclassofsimilarcompositesystemsisdiscussed,whoseinterconnectionsareasymmetricalandmismatched.Theinterconnectionconditionisproposed.Basedonit,theinterconnectionsaredividedintotwoparts.Onesatisfiestheinterconnectioncondition,bymeansofthetwo--stepmethod,thedecentralizedcontrollersaredesigned.Theotherdoesnotsatisfytheinterconnectioncondition,butthisisoffsettedbygoodqualityofthesystemitself.Basedonthese,asufficientconditionisgivenbysomelinearmatrixinequalities,whichmakesthestudiedsystemsquadraticstabilevialineardecentralizedcontrollersbymakinguseoftheinformationofinterconnectionsbetter.

简介：Thispaperproposestheconceptsofgeneralizedαk-majorefficientsolutionsandgeneralizedαkmajoroptimalsolutionsformulti-objectiveprogramming,andstudiestheirsomeimportantproperties.

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简介：Earlyin1904,Hadamard[1]showedthescaleimplicitfunctiontheoremoffinitedimensions.Thenitwasgeneralizedtoinfinitedimensions.Inthispaperanewproofofthistheoremisgivenandtheuniqueexistenceoftheperiodicsolutionforaclassofordinarydifferentialequationsystemsatresonanceisobtained.

简介：一致永久性和几乎周期的Lotka-Volterra的一个班的全球asymptotic稳定性与散开和延期打N种类竞争系统reinvestigated。系统在一些适当条件下面是一致地坚持的，这被显示出，并且新足够的条件为系统的唯一的积极几乎周期的解决方案的全球asymptotic稳定性被获得。

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