简介：SufficientconditionsweregiventoassertthatbetweenanytwoBanachspacesoverK,Fredholmmappingsshareatleastonevalueinaspecificopenball.Theproofoftheresultisconstructiveandbaseduponcontinuationmethods.

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简介：ＭＥＡＮＶＡＬＵＥＯＦＡＮＡＬＹＴＩＣＯＰＥＲＡＴＯＲＦＵＮＣＴＩＯＮＳＹｕＸｉａｏｐｅｉ（喻小培）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＣｅｎｔｒａｌＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｗｕｈａｎ４３００７０，Ｃｈｉｎａ）ＪｉａｎＭｉｎｇ（蹇明）（Ｄ...

简介：Inthispaper,wewillintroducesomeproblemsandresultsbetweenDiophantineapproximationandvaluedistributiontheol.

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简介：1IntroductionandPreliminariesItiswellknownthatthesmallestsingularvalueofamatrixisimportantinmatrixthoeryandapplications.VarahandQi,Johnsongavesomeresultsonlowerboundofthesmallestsingularvalue[1—4].Here,weusetheblockpartitionedformofamatrixtoob-taingeneralizedlowerboundsforσn（A）.Furthermore,byscalingwithamatrixDweob-tainanewlowerboundforσAofmatriceswhicharenotpositivedefinitematrices.

简介：Theexistenceanduniquenessresultsaboutquasilinearperiodicboundaryvalueproblemsareestablishedbyusingtheglobalinversefunctiontheoremandtheresultabouttheexistenceanduniquencessofperiodicsolutionsfortheperiodicboundaryvalueproblemofnonhomogeneouslinearperiodicsystem.

简介：Thesingularlyperturbednonlinearboundaryvalueproblemsareconsidered.Usingthestretchedvariableandthemethodofboundarylayercorrection,theformalasymptoticexpansionofsolutionisobtained.Andthentheuniformvalidityofsolutionisprovedbyusingthedifferentialinequalities.

简介：§1.IntroductionItisveryimportanttostudythetheoryofthemultidimensionalhyperbolicconservationlaws.Atypicalmodelisthefollowinginitialvalueproblem

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简介：Intheframeworkofgameswithcoalitionstructure,weintroduceprobabilisticOwenvaluewhichisanextensionoftheOwenvalueandprobabilisticShapleyvaluebyconsideringthesituationthatnotallprioriunionsareabletocooperatewithothers.Thenweusefiveaxiomsofprobabilisticefficiency,symmetricwithincoalitions,symmetricacrosscoalitionsapplyingtounanimitygames,strongmonotonepropertyandlinearitytoaxiomatizethevalue.

简介：Usingvariationalmethod,theauthorsgetanexistenceresultforpositivesolutionsofasuperlinearellipticboundaryvalueproblemwithoutassumingtheP.S.condition.Toprovetheresultsinthispaper,theauthorsadoptthemethodofgradientflowanduseanewclassoftruncationfunctions.

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简介：Thesingularlyperturbedboundaryvalueproblemforthenonlinearboundaryconditionsisconsidered.Undersuitableconditions,theasymptoticbehaviorofsolutionfortheoriginalproblemsisstudiedbyusingtheoryofdifferentialinequalities.

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简介：SufficientconditionsaregiventoassertthattwoC1-mappingsshareonlyonevalueinaconnectedcompactBanachmanifoldmodelledoverRn.Theproofoftheresult,whichisbaseduponcontinuationmethods,isconstructive.

简介：Basedonthegeneralsolutionofthree-dimensionalproblemsinpiezoelectricmedium,withthemethodofGreen’sfunctins,axisymmetricboundary-valueproblemsarediscussed.Thepurposeofthisresearchisforanalyzingtheeffectiveonmechanicsandelectricityofthepiezoelectricceramicscausedbyvoidsandinclusions.Thedisplacement,tractionandelectricGreen’sfunctionscorrespondingtocircularringloadsactingintheinteriorofapiezoelectricceramicareobtained.AcylindricalcoordinatesystemisemployedandHankeltransformareappliedwithrespecttoradialcoor-dinates.ExplicitsolutionsforGreen’sfunctionsarepresentedintermsofinfiniteintegralsofLipshitz-Hankeltype.Bysolvingatractionboundary-valueproblem,thesolutionschemeisillustrated.

简介：这篇论文导出四元数矩阵(QGSVD)的概括单个价值分解的一条定理.studies一般四元数矩阵方程AXB的答案-CYD=E，并且获得quaternionicRoth“s定理。这篇论文也为答案的存在和方程的答案的明确的形式建议足够、必要的条件。

简介：Anewapproachbasedonmultiwaveletstransformationandsingularvaluedecomposition(SVD)isproposedfortheclassificationofimagetextures.LowersingularvaluesaretruncatedbasedonitsenergydistributiontoclassifythetexturesinthepresenceofadditivewhiteGaussiannoise(AWGN).Theproposedapproachextractsfeaturessuchasenergy,entropy,localhomogeneityandmax-minratiofromtheselectedsingularvaluesofmultiwaveletstransformationcoefficientsofimagetextures.Theclassificationwascarriedoutusingprobabilisticneuralnetwork(PNN).Performanceoftheproposedapproachwascomparedwithconventionalwaveletdomaingraylevelco-occurrencematrix(GLCM)basedfeatures,discretemultiwaveletstransformationenergybasedapproach,andHMMbasedapproach.Experimentalresultsshowedthesuperiorityoftheproposedalgorithmswhencomparedwithexistingalgorithms.