简介：通过研究得出了在复合Poisson模型下，当赔付服从指数分布时有限时间内的生存概率的拉普拉斯变换公式。

简介：文章研究了退保因素下保费收取过程及索赔总额均为复合Poisson过程的风险模型,运用鞅方法得出了破产概率满足的Lundberg不等式和一般公式,并给出了生存概率满足的积分—微分方程。

简介：首先将[3]的双Possion风险模型推广到带干扰的一种新模型。然后运用鞅论的方法得出破产概率满足Lundberg不等式和一般公式。以及当个体所赔服从指数分布时的破产概率的具体表达式。

简介：对于保费收入为Poisson过程的更新风险模型，利用马氏链的理论，借助转移概率，得出了破产概率和破产赤字的展式及其所满足的积分方程．

简介：本文运用鞅的方研究了带干扰双Poisson模型盈余首次达到给定水平的时间，得到了它的矩母函数以及相应的期望、二阶和三阶中心矩的具体表达．

简介：WhenthePoissonmatrixofPoissonsystemisnon-constant,classicalsymplecticmethods,suchassymplecticRunge-Kuttamethod,generatingfunctionmethod,cannotpreservethePoissonstructure.Thenon-constantPoissonstructurewastransformedintothesymplecticstructurebythenonlineartransform.ArbitraryordersymplecticmethodwasappliedtothetransformedPoissonsystem.TheEulerequationofthefreerigidbodyproblemwastransformedintothesymplecticstructureandcomputedbythemid-pointscheme.Numericalresultsshowtheeffectivenessofthenonlineartransform.

简介：Wecompare13differentaposteriorierrorestimatorsforthePoissonproblemwithlowest-orderfiniteelementdiscretization.Residual-basederrorestimatorscompetewithawiderangeofaveragingestimatorsandestimatorsbasedonlocalproblems.Amongourfivebenchmarkproblemswealsolookontwoexampleswithdiscontinuousisotropicdiffusionandtheirimpactontheperformanceoftheestimators.(SupportedbyDFGResearchCenterMATHEON.)

简介：构建了带干扰的复合Poisson模型下阂红利策略模型，求出了此模型下期望折扣罚金（Gerber—Shiu）函数满足的积分一微分方程，并通过无分红模型下的Gerber—Shiu函数得到它的解析表达式．

简介：我们withasymptotically在某完全的军士合同manifolds上学习泊松方程非否定的弯曲。我们将也与非否定的弯曲在某完全的军士合同manifolds上学习nonhomogeneousheat方程的限制行为。

简介：在这笔记，泊松方程的整齐？有躺在对数函数空间Lp(LogL)的f的螖u=f一(惟)(1

简介：VariationalmethodsareusedtostudythenonlinearSchrdinger-Poissontypeequationswhichmodeltheelectromagneticwavepropagatingintheplasmainphysics.ByanalyzingtheHamiltonianpropertytoconstructaconstrainedvariationalproblem,theexistenceofthegroundstateofthesystemisobtained.Furthermore,itisshownthatthegroundstateisorbitallystable.

简介：ThispaperstudiestheoperatingcharacteristicsofanM/G/1queuingsystemwitharandomizedcontrolpolicyandatmostJvacations.Afterallthecustomersareservedinthequeueexhaustively,theserverimmediatelytakesatmostJvacationsrepeatedlyuntilatleastNcustomersarewaitingforserviceinthequeueuponreturningfromavacation.IfthenumberofarrivalsdoesnotreachNbytheendoftheJ~(th)vacation,theserverremainsidleinthesystemuntilthenumberofarrivalsinthequeuereachesN.IfthenumberofcustomersinthequeueisexactlyaccumulatedNsincetheserverremainsidleorreturnsfromvacation,theserverisactivatedforserviceswithprobabilitypanddeactivatedwithprobability(1-p).Forsuchvariantvacationmodel,otherimportantsystemcharacteristicsarederived,suchastheexpectednumberofcustomers,theexpectedlengthofthebusyandidleperiod,andetc.Followingtheconstructionoftheexpectedcostfunctionperunittime,anefficientandfastprocedureisdevelopedforsearchingthejointoptimumthresholds(N~*,J~*)thatminimizethecostfunction.Somenumericalexamplesarealsopresented.

简介：

简介：

简介：Theprobabilityofearthquakeoccurrenceintheforthcoming50yearsintheareaconfinedbyLinfen,Taiyuan,andDaixianbasins,ShanxiProvinceiscomputedbyusingadualPoissonmodelandthefutureseismicriskisalsocomputedbyusingaprobabilitydistributionintegratedwiththeattenuationlaw.

简介：

简介：ThispaperfocusesonstudyingthePoissontheoryandtheintegrationmethodofdynamicsofrelativemotion.Equationsofadynamicalsystemofrelativemotioninphasespacearegiven.Poissontheoryofthesystemisestablished.TheJacobilastmultiplierofthesystemisdefined,andtherelationbetweentheJacobilastmultiplierandthefirstintegralsofthesystemisstudied.Ourresearchshowsthatforadynamicalsystemofrelativemotion,whoseconfigurationisdeterminedbyngeneralizedcoordinates,thesolutionofthesystemcanbefoundbyusingtheJacobilastmultiplierif(2n1)firstintegralsofthesystemareknown.Attheendofthepaper,anexampleisgiventoillustratetheapplicationoftheresults.

简介：1Euler—Poisson积分的几种求值方法1．1运用变量代换求值

简介：Inthispaper,theuniquenessofstationarysolutionswithvacuumofEulerPoissonequationsisconsidered.Throughanonlineartransformationwhichisafunctionofdensityandentropy,thecorrespondingproblemcanbereducedtoasemilinearellipticequationwithanonlinearsourcetermconsistingofapowerfunction,forwhichtheclassicaltheory[4]'[9]oftheellipticequationsleadstheauthorstotheuniquenessresultundersomeassumptionsontheentropyfunctionS(x).Asanexample,theauthorsgettheuniquenessofstationarysolutionswithvacuumofEuler-PoissonequationsforS(x)=|x|θandθ∈{0}∪[2(N-2),+∞).

简介：这份报纸基于方向性的差别为有限的点方法使一些成为数学分析。由用仅仅为一阶的计算和秒顺序的五个附近的点的数字公式的明确的表达式的优点方向性的differentials，新方法论被介绍给拉普拉斯算符操作符在2D上定义的discretize散布的点分布。有很弱的限制的一些足够的条件被获得，在哪个下面结果的计划是积极计划。作为后果，分离最大的原则被证明，并且第一命令O(h)的会聚的结果为在散布的点分布上定义的节的答案被完成，它能在一致的点分布上被提起直到O(h2)。