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简介：在这份报纸，我们在灯芯的意义在一个部分Black-Scholes模型调查分离时间hedging策略的错误的asymptotic行为--它?-Skorohod集成。hedging错误的集中的率由于分离时间的做贸易当真策略以商人著名时，被调查。结果提供新统计工具学习并且检测效果长记忆并且为分离时间hedging的错误的林中小丘参数。

简介：它在夏被显示出[3]为有连续assets'price过程的不完全的市场并且为完全的市场，吝啬变化的公事包选择能是被看，这与非否定的边缘的用途期望用途最大化。在这篇论文，我们在分离时间显示出那这结果不是的不完全的市场真。

简介：Anewdiscreteisospectralproblemisintroduced,fromwhichthecoupleddiscreteKdVhierarchyisdeducedandiswritteninitsHamiltonianformbymeansofthetraceidentity.ItisshownthateachequationintheresultinghierarchyisLiouvilleintegrable.Furthermore,aninfinitenumberofconservationlawsareshownexplicitlybydirectcomputation.

简介：Inthispaper,dynamicsofthediscrete-timepredator-preysystemwithAlleeeffectareinvestigatedindetail.ConditionsoftheexistenceforflipbifurcationandHopfbifurcationarederivedbyusingthecentermanifoldtheoremandbifurcationtheory,andthenfurtherillustratedbynumericalsimulations.ChaosinthesenseofMarottoisprovedbybothanalyticalandnumericalmethods.Numericalsimulationsincludedbifurcationdiagrams,Lyapunovexponents,phaseportraits,fractaldimensionsdisplaynewandrichdynamicalbehavior.Morespecifically,apartfromstabledynamics,thispaperpresentsthefindingofchaosinthesenseofMarottotogetherwithahostofinterestingphenomenaconnectedtoit.TheanalyticresultsandnumericalsimulationsdemostratesthattheAlleeconstantplaysaveryimportantrolefordynamicalbehavior.ThedynamicalbehaviorcanmovefromcomplexinstablestatestostablestatesastheAlleeconstantincreases(withinalimitedvalue).Combiningtheexistingresultsinthecurrentliteraturewiththenewresultsreportedinthispaper,amorecompleteunderstandingofthediscrete-timepredator-preywithAlleeeffectisgiven.

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简介：ThediscreteSobolev’sinequalitiesinL_pnormareprovedforthree-dimensionalsphericalandcylindricalcoordinates,byusingdiscreteHolderinequality.propertyofthetrianglefunctionsandcomplicateddeduction.

简介：Theboundaryelementapproximationoftheparabolicvariationalinequalitiesofthesecondkindisdiscussed.First,theparabolicvariationalinequalitiesofthesecondkindcanbereducedtoanellipticvariationalinequalitybyusingsemidiscretizationandimplicitmethodintime;thentheexistenceanduniquenessforthesolutionofnonlinearnon-differentiablemixedvariationalinequalityisdiscussed.Itscorrespondingmixedboundaryvariationalinequalityandtheexistenceanduniquenessofitssolutionareyielded.Thisprovidesthetheoreticalbasisforusingboundaryelementmethodtosolvethemixedvariationalinequality.

简介：在这篇论文，我们使用分离Littlewood-Paley分析获得分离Littlewood-Paley方形的功能描绘的参数的任意的数字的强壮的空格并且导出单个不可分的操作符的固定在上并且从。关键词multiparameter哈迪空间-分离Littlewood-Paley-Stein分析-分离考尔德贸n身份-几乎orthogonality估计AMS(2010)题目分类42B20-42B25-42B30

简介：在这份报纸，我们从反对称的立方的地图在分离动态系统学习词的组合性质。我们也讨论长度n的原始按摩序列和长度2n的加倍时期的按摩序列的关系，然后决定长度n的所有按摩序列的数字。

简介：这篇文章处理在从期末考试的反应散开系统的两次独立的系数预定空间discretized测量使用的重建的一个反的问题在光滑的插值技术的帮助下的优化方法。文章的主要目的是关于同类的Dirichlet边界条件分析线性地联合的反应散开系统的反的问题的解决方案的asymptotic行为。

简介：NonlinearSchrodingerequation(NSE)arisesinmanyphysicalproblems.Itisaveryimportantequation.Alotofworksstudiedthewellposed,theexistenceofsolutionofNSEetc.Andtherearemanyworksstudiedthenumericalmethodsforit.Recently,sincethedevelopmentofinfinitedimensionaldynamicsystemthedynamicalbehaviorofNSEhasbeeninvestigated.Thepaper[1]studiedthelongtimewellposedness,theexistenceofuniversalattractorandtheestimateofLyapunovexponentforNSEwithweaklydamped.Atthesametimeitwasneedtostudythelargetimenewcomputationalmethodsandtodiscussitsconvergenceerrorestimate,theexistenceofapproximateattractorsetc.InthispapewestudytheNSEwithweaklydamped(1.1).Weassume,where0<λ<2isaconstant.Ifwewishtoconstructthehigheraccuracycomputationalscheme,itwillbedifficultthatstaighfromtheequation(1.1).Thereforewestartwith(1.4)andusefullydiscreteFourierspectralmethodwithtimedifferencetodisscus

简介：WepresentanewdiscreteintegrablecouplingsystembyusingthematrixLaxpairU,V∈sl(4).AnovelspectralproblemofmodifiedTodalatticesolitonhierarchyisconsidered.Then,anewdiscreteintegrablecouplingequationhierarchyisobtainedthroughthemethodoftheenlargedLaxpair.Finally,weobtaintheHamiltonianstructureoftheintegrablecouplingsystemofthesolitonequationhierarchyusingthematrix-formtraceidentity.ThisdiscreteintegrablecouplingsystemincludesakindofamodifiedTodalatticehierarchy.

简介：Westudytheleastsquaresestimationofdriftparametersforaclassofstochasticdifferentialequationsdrivenbysmallα-stablenoises,observedatnregularlyspacedtimepointsti=i/n,i=1,···,non[0,1].Undersomeregularityconditions,weobtaintheconsistencyandtherateofconvergenceoftheleastsquaresestimator(LSE)whenasmalldispersionparameterε→0andn→∞simultaneously.TheasymptoticdistributionoftheLSEinoursettingisshowntobestable,whichiscompletelydifferentfromtheclassicalcaseswhereasymptoticdistributionsarenormal.

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简介：Inthispaper,weconsidertheexistenceofthreenontrivialsolutionsforadiscretenon-linearmultiparameterperiodicprobleminvolvingthep-Laplacian.ByusingthesimilarmethodfortheDirichletboundaryvalueproblemsin[G.BonannoandP.Candito,Appl.Anal.,88(4)(2009),pp.605-616],weconstructtwonewstrongmaximumprinciplesandobtainthattheboundaryvalueproblemhasthreepositivesolutionsforλandμinsomesuitableintervals.Theapproachesweusearethecriticalpointtheory.

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