简介：ThispaperdiscussesproblemIEP:Givenn×mmatrixXandm×mdiagonalmatrixA,findann×nmatrixAsuchthatAX=XA.ThenewsolvablilyconditionsfortheproblemIEPareobtained.TheeigenvaluedislribulaionofthesolutionsfortheproblemIEParedescribedindetail.

简介：LetΩbeaboundeddomainwithsmoothboundaryΩinR~n.Weconsiderthefollowingeigenvalueproblemforsystemsofellipticequationsunderthenaturalgrowthconditions

简介：Inthispaperweinvestigateseveralsolutionalgorithmsfortheconvexfea-sibilityproblem(CFP)andthebestapproximationproblem(BAP)respectively.Thealgorithmsanalyzedarealreadyknownbefore,butbyadequatelyreformulatingtheCFPortheBAPwenaturallydeducethegeneralprojectionmethodfortheCFPfromwell-knownsteepestdecentmethodforunconstrainedoptimizationandwealsogiveanaturalstrategyofupdatingweightparameters.Inthelinearcaseweshowtheconnec-tionofthetwoprojectionalgorithmsfortheCFPandtheBAPrespectively.Inaddition,weestablishtheconvergenceofamethodfortheBAPundermilderassumptionsinthelinearcase.WealsoshowbyexamplesaBauschke'sconjectureisonlypartiallycorrect.

简介：Thislooperdiscussesonelastoplasticproblemwithfrictionsgivenonapartoftheboundary.AssumingthatfrictionfollowssimplifiedCoulom’slaw,theauthorgivesanexplicitrelaxationofenergyandprovesthatthesolutionexists.

简介：在这份报纸，我们调查夸张Yamabe问题的答案为(1+n)维的Minkowski时空。更精确说，为n=的案例1，我们导出夸张Yamabe问题的一个一般答案；为n=的案例2，3，我们学习夸张Yamabe问题的光滑的答案的全球存在和发作现象；当时为一般多维的案例n2，我们为夸张Yamabe问题的一种准确答案讨论全球存在和不存在。

简介：ＯＮＳＴＥＦＡＮＰＲＯＢＬＥＭＷＩＴＨＰＲＥＳＣＲＩＢＥＤＣＯＮＶＥＣＴＩＯＮＦａｈｕａｋＹｉ（易法槐）（ＳｕｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｓｕｚｈｏｕ，Ｊｉａｎｇｓｕ，２１５００６Ｃｈｉｎａ）Ｙｉｐｉ...

简介：AnecessaryandsufficientconditionofthesolubilityfarthemultidimensionalTLSproblemispresented.

简介：Theobjectinthispaperistoconsidertheproblemofexistence,uniqueness,explicilrepresentationof（0,2）-interpolationonthezerosof（1-x2）P_{n-1（x）/xwhennisodd,wherePn-1denotesLegendrepolynomialofdegreen-1,andtheproblemofconvergenceofinterpolatorypolynomials.}

简介：

简介：Inthispaper,weconsidertheNeumannboundaryvalueproblemofSchrodingeroperatorwithmeasurepotentia1μ.First,amartingaleformulationoftheNeumannproblemandananalyticcharacterizationofthemartingaleformulationaregiven.Then,byusingtheDirichletformsandStochasticanalysisweobtainanexplicitformulafortheuniqueweaksolotionofthisproblemintermsofreflectingBrownianmotionandit’sboundarylocaltime.

简介：Inthispaperaclassofiterativemethodsfortheminimaxproblemi;proposed.Wepresentasequenceoftheextentedlinear-quadraticprogramming(ELQP)problemsassubproblemsoftheoriginalminimalproblemandsolvetheELQPproblemiteratively.Thelocallylinearandsu-perlinearconvergenceresultsofthealgorithmareestablished.

简介：InthisnoteasimpleproofofthefamousFermat-Torricelliproblemisgiven.Fortheverticesofagiventriangle,FermatasksforafourthpointsuchthatthesumofitsEuclideandistancestothethreegivenpointsisminimized.ManyauthorspresentgeometricapproachestotheFermat-Torricelliproblem.Wesolvetheproblembyanalyticandgeometricalmethodandextendittothesphere.wealsocharacterizethemedianpointPonthegeneralregularsurface.

简介：Weconsideramathematicalmodelwhichdescribesacontactbetweenadeformablebodyandafoundation.ThecontactisbilateralandmodelledwithTresca’sfrictionlaw.Thegoalofthispaperistostudyanoptimalcontrolproblemwhichconsistsofleadingthestresstensorascloseaspossibletoagiventarget,byactingwithacontrolontheboundaryofthebody.Westateanoptimalcontrolproblemwhichadmitsatleastonesolution.Wealsointroducetheregularizedcontrolproblemforwhichwestudytheconvergencewhentheregularizationparametertendstozero.Finally,anoptimallyconditionisestablishedforthisproblem.

简介：非线性的数字方法被使用解决viscous-elastic-plastic材料影响问题。有限元素模拟同意庆祝欧洲碰撞安全分析。在大变丑的复杂材料压力分发被获得了，当影响发生时。另外，以后的估计解答者和asymptotic分析被用于敏感预先上演在发生的影响前的变丑。模拟的这部分为在汽车的保护设备的被动安全很有趣。它是数学建模的重要部分。

简介：<正>LetE（X）=[{N≤X;N≠p12+p23+p34+p45foranyprimespi}|.Itisprovedinthispaperthatthereexistsapositiveconstantδ>0suchthatE（X）《δX1-δwhichimprovesaresultofprachar.

简介：ＴＨＥＤＩＳＴＵＲＢＡＮＣＥＬＯＣＡＬＩＺＡＴＩＯＮＰＲＯＢＬＥＭＦＯＲＳＩＮＧＵＬＡＲＳＹＳＴＥＭＳＴａｎＬｉａｎｓｈｅｎｇ（ＷｕｈａｎＩｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，Ｃｈｉｎ．Ａｃａｄ．ｏｆＳｃｉ．，Ｗｕｈａｎ４３００７１，Ｃｈｉｎａ．）Ａｂｓ...

简介：etRb,c(n)denotethenumberofrepresentationsofnasthesumofonesquare,fourcubes,oneb-thpowerandonec-thpowerofnaturalnumbers.Itisshownthatifb=4,4≤c≤35,orb=5,5≤c≤13,orb=6,6≤e≤9,orb=c=7,thenRb,c(n)>>n^5/6+1/b+1/cforallsufficientlylargen.

简介：A.D的古典结果。Alexandrov说那一个连接协议smoothn维没有边界歧管，在R~(n+1)嵌入，并且以便它的吝啬的弯曲是不变的，是一个范围。这里，我们在一个亢奋的飞机X_(n+1)=常数学习M的对称的问题以防M满足：为任何二个点(X“，X_(n+1))，(X”，X_(n+1))与X_(n+1)>X_(n+1)，在M上，在第一点的吝啬的弯曲不在第二点比那大。对称不必总是认为我们在一些另外的条件下面建立它，但是在这糊。theHopf词根的一些变化也被介绍。几个开的问题被描述。部分Ⅰ处理了相应的维的问题。

简介：isgainedbydeletingthekthrowandthekthcolumn（k=1,2,...,n）fromTn.Weputfor-wardaninverseeigenvalueproblemtobethat:Ifwedon’tknowthematrixT1,n,butweknowalleigenvaluesofmatrixT1,k-1,alleigenvaluesofmatrixTk+1,k,andalleigenvaluesofmatrixT1,ncouldweconstructthematrixT1,n.Letμ1,μ2,…,μk-1,μk,μk+1,…,μn-1,

简介：<正>Weusethemethodofloweranduppersolutionscombinedwithmonotoneiterationstodifferentialproblemswithaparameter.Existenceofextremalsolutionstosuchproblemsisproved.