简介：利用Bernoulli多项式和Bernoulli函数，给出了连续可微函数的Bernoulli表示，并用这种表示来解决一类差分方程的通解问题。

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简介：TheBernoulliconvolutionvλmeasureisshowntobeabsolutelycontinuouswithL2densityforalmostall1/2

简介：Inthispaper,asteady-stateMarkovianmulti-serverretrialqueueingsystemwithBernoullivacationschedulingserviceisstudied.Usingmatrix-geometricapproach,variousinterestingandimportantsystemperformancemeasuresareobtained.Further,theprobabilitydescriptorslikeidealretrialandvainretrialareprovided.Finally,extensivenumericalillustrationsarepresentedtoindicatethequantifyingnatureoftheapproachtoobtainsolutionstothisqueueingsystem.

简介：Inthispaper,theauthorsdesignboundaryfeedbackcontrollersattheinteriornodetostabilizeastar-shapednetworkofEuler-Bernoullibeams.Thebeamsarepinnedeachother,thatis,thedisplacementsofthestructurearecontinuousbuttherotationsofthebeamsarenotcontinuous.Thewell-posed-nessoftheclosedloopsystemisprovedbythesemigrouptheory.Theauthorsshowthatthesystemisasymptoticallystableiftheauthorsimposeabendingmomentcontroloneachedge.Finally,theauthorsderivetheexponentialstabilityofthesystem.

简介：WeconsideranMX/G/1queueingsystemwithtwophasesofheterogeneousserviceandBernoullivacationschedulewhichoperateunderalinearretrialpolicy.Inaddition,eachindividualcustomerissubjecttoacontroladmissionpolicyuponthearrival.ThismodelgeneralizesboththeclassicalM/G/1retrialqueuewitharrivalsinbatchesandatwophasebatcharrivalqueuewithasinglevacationunderBernoullivacationschedule.Wewillcarryoutanextensivestationaryanalysisofthesystem,includingexistenceofthestationaryregime,embeddedMarkovchain,steadystatedistributionoftheserverstateandnumberofcustomerintheretrialgroup,stochasticdecompositionandcalculationofthefirstmoment.

简介：研究了Bernoulli微分方程的通解、积分因子,进而讨论了可化为Bernoulli方程的两类方程,并给了积分方程中的Bernoulli方程和它在数学建模中的应用.

简介：TheproblemofquickanalysisusingexactgeometrydatawasproposedbyHughesetal.andtheisogeometricanalysisframeworkwasintroducedasasolution.Inthisletter,theexactgeometryconceptiscombinedintothequasi-conformingframeworkandanovelmethod,i.e.,theexactgeometrybasedquasi-conforminganalysisisproposed.Inpresentmethodthegeometryisexactlydescribedbynon-uniformrationalB-splinebases,whilethesolutionspacebytraditionalpolynomialbases.Presentmethodcombinesthemeritsofbothisogeometricanalysisandquasi-conformingfiniteelementmethod.InthisletterEuler-Bernoullibeamproblemissolvedasanexampleandtheresultsshowthatthepresentmethodiseffectiveandpromising.

简介：讨论变系数Euler-Bernoulli梁振动系统utt(x,t)+η(t)uxxxx(x,t)=0,0＜x＜1,0≤t≤T{u(0,t)=ux(0,t)=0,0≤t≤T-uxxx(1,t)+mutt(1,t)=-αut(1,t)+βuxxxt(1,t),0≤t≤T(1)uxt(1,t)=-γuxx(1,t),0≤t≤Tu(x,0)=u1(x),ut(x,0)=u2(x),0≤x≤1证明了该系统产生一个发展系统.

简介：考虑动态输出反馈控制下Euler-Bernoulli梁的振动抑制问题,证明了系统算子生成的C0-半群,不指数稳定但渐近稳定.且当初值充分光滑时,利用Riesz基方法估计出系统能量多项式衰减.

简介：ThenonlinearvibrationsofviscoelasticEuler–BernoullinanobeamsarestudiedusingthefractionalcalculusandtheGurtin–Murdochtheory.EmployingHamilton'sprinciple,thegoverningequationconsideringsurfaceeffectsisderived.Thefractionalintegro-partialdifferentialgoverningequationisfirstconvertedintoafractional–ordinarydifferentialequationinthetimedomainusingtheGalerkinscheme.Thereafter,thesetofnonlinearfractionaltime-dependentequationsexpressedinastate-spaceformissolvedusingthepredictor–correctormethod.Finally,theeffectsofinitialdisplacement,fractionalderivativeorder,viscoelasticitycoefficient,surfaceparametersandthickness-to-lengthratioonthenonlineartimeresponseofsimply-supportedandclamped-freesiliconviscoelasticnanobeamsareinvestigated.

简介：【名师箴言】在复习函数时应做到：第一：立足课本、抓好基础；第二：强化数形结合意识、分类讨论思想、建模思想，不论是对于正、反比例函数，还是一次函数、二次函数而言，待定系数法都是重要的思想方法；第三：针对中考重点与热点，总结解题规律，强化基本技能，精心选材，避免引入难度过高、计算量过大、技巧性过强的题

简介：讨论具有非线性耗散边界反馈的非均质Euler-Bernoulli梁的镇定问题.首先利用非线性半群理论和能量摄动方法,证明了文中所给出的非线性耗散边界反馈控制可以镇定闭环系统的能量,并导出了闭环系统的能量的衰减速度.

简介：求函数的定义域一般有三种类型；第一种是给出具体的函数解析式求定义域；第二种是不给出具体的函数解析式，而由f（x）的定义域，求复合函数f[g（x）]的定义域，此时采用整体考虑的方法；第三种是应用问题中求函数的定义域，此时除了考虑函数解析式有意义外，还应该考虑问题的实际意义对自变量的制约．

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简介：<正>考点解读函数及其表示法点击考点一映射的概念映射是一种特殊的对应,映射中的集合A,B可以是数集,也可以是点集或其他集合,这两个集合有先后顺序,从A到B的映射与从B到A的映射是截然不同的.

简介：<正>纵观近几年的高考数学试题,对函数的考查几乎每年都有,函数与集合、数列、不等式、解析几何等知识的综合题,因其涵盖的知识点多,易于数学建模,且有考查较强的思维能力的功能.在今后的高考命题中综合性题型仍会成为热点和重点,并可能逐渐加强.

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