简介:ThecharacterizationofisotropicBesovspacesforintermsofprogressivedifferencesofafunctionondyadicpointsisobtained.Moreover,forwithananalogouscharacterizationofanisotropicBesovspacesispresented.
简介:我们在二维的非线性的格子与等于1的拓扑的费用在局部性的状态的二种类型上考虑anisotropy的效果,用分离非线性的Schr?是的dinger方程一个范例模型。我们全球性发现有不同繁殖常数的on-site-centered旋涡不是马厩,和那繁殖常数的上面、更低的边界存在。在这二条边界之间的区域是on-site-centered旋涡是不稳定的在外面领域。当anisotropy参数逐渐地被增加,这个区域在尺寸减少。我们也在各向异性的格子上认为off-site-centered是旋涡,它在这种格子类型和任何一个变换上是不稳定的进稳定的四极或倒塌。我们发现进四极的off-sitecentered旋涡的转变,发生在各向异性的格子上,不能发生在各向同性的格子上。在四极盒子中,一个繁殖常数区域也存在,在哪个外面局部性的状态不能稳定地存在。这个区域上的anisotropy的影响与它on-site-centered旋涡盒子上的效果几乎相同。
简介:Atwospeciesdiscretecommensalismsystemisproposedandstudied.BytheJury'sconditionsforthestabilityofsecondorderdiscretesystem,thelocalstabilitypropertyofpositiveequilibriumisinvestigated;afterthat,sufficientconditionswhichensuretheglobalasymptoticstabilityoftheinteriorequilibriumareobtained.Anexampletogetherwithitsnumericsimulationisgiventoillustratethefeasibilityofthemainresult.
简介:ResultsonsupervisorycontrolofdiscreteeventprocessesaremainlyconcernedwithdesigningacontrollersuchthattheclosedloopsystemgeneratesalanguageLwhichcoincideswiththetargetlanguage.Inthispaperweconsidersupervisorycontrolproblemforaclassofdiscreteeventprocesseswhenthedesigntargetisthatacertainsetoflanguagepatternscannotoccurintheclosedlooplanguage.AheuristicsupervisorisconstructedviatheheuristicsearchmethoddevelopedinAI.Thisschemerequiresonlytheinformationaboutthecontrollabilityoftheeventsymbolset.Itiscapableofdesigningamodularheuristicsupervisorwhentherearemanysuchforbiddenstrings.Effectivenessofsuchasupervisorisprovedforsystemswithperfectandpartialobservation.
简介:Numericalsimulationofantennaeisatopicincomputationalelectromagnetism,whichisconcernedwiththenumericalstudyofMaxwellequations.BydiscreteexteriorcalculusandthelatticegaugetheorywithcoefficientR,weobtaintheBianchiidentityonprismlattice.Bydefininganinnerproductofdiscretedifferentialforms,wederivethesourceequationandcontinuityequation.ThoseequationscomposethediscreteMaxwellequationsinvacuumcaseondiscretemanifold,whichareimplementedonJavadevelopmentplatformtosimulatetheGaussianpulseradiationonantennaes.
简介:StabilizedorChebyshevexplicitmethodshavebeenwidelyusedinthepasttosolvestiffordinarydifferentialequations.MakinguseofspecialpropertiesofChebyshev-likepolynomials,thesemethodshavefavorablestabilitypropertiescomparedtostandardexplicitmethodswhileremainingexplicit.Anewclassofsuchmethods,calledROCK,introducedin[Numer.Math.,90,1-18,2001]hasrecentlybeenextendedtostiffstochasticdifferentialequationsunderthenameS-ROCK[C.R.Acad.Sci.Paris,345(10),2007andCommun.Math.Sci,6(4),2008].InthispaperwediscusstheextensionoftheS-ROCKmethodstosystemswithdiscretenoiseandproposeanewclassofmethodsforsuchproblems,theT-ROCKmethods.Onemotivationforsuchmethodsisthesimulationofmulti-scaleorstiffchemicalkineticsystemsandsuchsystemsarethefocusofthispaper,butournewmethodscouldpotentiallybeinterestingforotherstiffsystemswithdiscretenoise.TwoversionsoftheT-ROCKmethodsarediscussedandtheirstabilitybehaviorisanalyzedonatestproblem.ComparedtotheT-leapingmethod,asignificantspeed-upcanbeachievedforsomestiffkineticsystems.Thebehavioroftheproposedmethodsaretestedonseveralnumericalexperiments.
简介:Inthispaperwediscusstheproblemofapproximatingdistributionsincertaindiscretelifeclasses.LetXbearandomvariable(r.v.)takingnonnegativeintegers,EX=μ.SupposeYisageometricr.v.takingnonnegativeintegersandwiththesamemeanμ.DenoteB2=(?),α=1-(B2)/(μ2),Δ(X,Y)=(?)|P(X≥k)-P(Y≥k)|.Themainresultsare:1)IfX∈(D)DMRL(discretedecreasingmeanresiduallife),thenΔ(X,Y)≤max(α,1-e-2α).2)IfX∈(D)NBUE(discretenewbetterthanuseinexpectation)thenΔ(X,Y)≤max(α,1-e-(2α)1/2.
简介:Inthispaperwestudyshadowingpropertyforsequencesofmappingsoncompactmetricspaces,i.e.,nonautonomousdiscretedynamicalsystems.Weinvestigatetherelationsofvariousexpansivitypropertieswithshadowingandh-shadowingproperty.
简介:为计划接近的充分分离的放松的二个班在房间熵不平等上介绍研究分级的能量守恒定律。计划的主要优点;有一个生硬来源术语的令人放松的系统的构造的评论;结论。
简介:Inthispaper,weestablishsomenewdiscreteinequalitiesofOpial-typewithtwosequencesbymakinguseofsomeclassicalinequalities.Theseresultscontainasspecialcasesimprovementsofresultsgivenintheliterature,andtheseimprovementsarenewevenintheimportantdiscretecase.
简介:WeconsiderthemultidimensionalabstractlinearintegralequationofVolterratypex(t)+(*)∫Rtα(s)x(s)ds=f(t),t∈R,(1)asthelimitofdiscreteStieltjes-typesystemsandweproveresultsontheexistenceofcontinuoussolutions.Thefunctionsx,αandfareBauachspace-valueddefinedonacompactintervalRofR^nRtisasubintervalofRdependingont∈Rand(*)fdenoteseithertheBochner-LebesgueintegralortheHenstockintegral.Theresultspresentedheregeneralizethosein[1]andareinthespiritof[3].Asaconsequenceofourapproach,itispossibletostudythepropertiesof(1)bytransferringthepropertiesofthediscretesystems,TheHenstockintegralsettingenablesustoconsiderhighlyoscillatingfunctions.