简介：

简介：

简介：

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。

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：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：今天放学刚到家门口，就听到从一个笼子里传来叽叽喳喳的声音，我觉得很好奇，走近一看，原来是好多只小鸡在叫呢。这些小鸡长得真可爱，

简介：请你选用九个连续三位数，把它们巧妙地填在右图空格中，使横行、竖行、斜行三个数的和都是2010，你能很快完成吗？

简介：分析两数之间,两数之差,两数之和的简单自然数规律,可以导出一些与素数分布相关的定理.

简介：几年前，社会上曾爆出了一条新闻——《肥城数“牛”》，说的是某乡镇的几个相邻村庄，因上级要检查统计耕牛数量，相互借牛以凑足数目。起初还真的蒙骗过关了，后来发现在不同的村庄点数到同一头耕牛，这才发觉被“假象”所骗。

简介：数与数系的扩张李翎数是我们生活中表示数量关系的尺度，从远古时期以绳打结，刻痕的记数方式到四元数的产生，经历了漫长的历程。数与数系扩张的主要途径是解方程。远古时期以绳打结等记数方式，说明人们已经有了朴素的数的概念，这就是数的萌芽时期，随着社会的发展，由...

简介：像√2=1.41421356…,-√7=-2.64575131…,^3√2=1.2599210…，π等，这些数的小数位数都是无限的，而且是不循环的，这样的小数叫做无限不循环小数，又叫无理数。可是在实际运用时，同学们往往难以判断哪些数是无限的而且是不循环的。其实，在初中阶段，我们能接触到的无理数一般只有下面三类：