简介:LetR0,nbetherealCliffordalgebrageneratedbye1,e2,···,ensatisfyingeiej+ejei=-2δij,i,j=1,2,···,n.e0istheunitelement.Letbeanopenset.AfunctionfiscalledleftgeneralizedanalyticiniffsatisfiestheequationLf=0,(0.1)whereL=q0e0θx0+q1e1θx1+···+qnenθxn,qi>0,i=0,1,···,n.Inthisarticle,wefirstgivethekernelfunctionforthegeneralizedanalyticfunction.Further,theHilbertboundaryvalueproblemforgeneralizedanalyticfunctionsinRn+1+willbeinvestigated.
简介:引入独立参量,应用权函数的方法及实分析技巧,建立齐次与非齐次核两类Hilbert型积分不等式的等价联系,定义了等价的Hilbert型积分算子,还考虑了一些特殊核的范数.
简介:Manypracticalsystemsinphysicalandtechnicalscienceshaveimpulsivedynamicalbehaviorsduringtheevolutionprocesswhichcanbemodeledbyimpulsivedifferentialequations.Inthispaper,weprovetheapproximatecontrollabilityofcontrolsystemsgovernedbyaclassofimpulsiveneutralstochasticfunctionaldifferentialsystemwithstate-dependentdelayinHilbertspaces.Sufficientconditionsforapproximatecontrollabilityofthecontrolsystemsareestablishedunderthenaturalassumptionthatthecorrespondinglinearsystemisapproximatelycontrollable.Theresultsareobtainedbyusingsemigrouptheory,stochasticanalysistechniques,fixedpointapproachandabstractphasespaceaxioms.Anexampleisprovidedtoillustratetheapplicationoftheobtainedresults.
简介:Objective:TostudythecharacteristicsofpulsetracingsinCHD,andobjectivelyevaluatethesignificanceofpulsesignalindiagnosisandappreciationoftherapeuticeffectinpatientswithcoronaryheartdisease(CHD),andaccordinglyprovidewiththeoreticproofsfordevelopingnon-invasivetechniqueofpulsediagnosis.Methods:Byusingthepulsedetectionsystem,pulsegraphsinCHDpatients,patientswithoutCHDand"health"adultswerecollectedandcompared.ThencharactersofthepulsesignalwereanalyzedwithHilbert-Huangtransformationroutine(HHT)andtime-domainmethodrespectively.Results:ThereexistedcharacteristicchangeinpulsegraphinCHD.①h1,h3,h4,h3/h1,t,t5/t4intimedomainparametersofpulsegraphincreasedandw1waswidened.②44%ofC2waveinHHTdisplayshowedchaoticanddisorderlywaveandirregularlywaveamplitudeinCHD.And72%ofC5Waveexhibitedinirregularwavewithaveragewaveamplitudeover10gram-forces.Thesechangesweresignificantlydifferentfromhealthadults.Conclusion:CharacteristicwaveofpulsegraphextractedwithmethodsoftimedomainorHHTroutinemightbeconsideredasproofsfordiagnosisanddifferentiationinCHD.OurresearchesprognosticatethatpulsediagnosiscanbeusedasanancillarydeterminationinoccurrenceofCHDforreasonsoftheadvantageofconvenientoperationandnon-invasion.
简介:应用权函数,给出一个有最佳常数因子的-3μ齐次半离散Hilbert型不等式.同时给出它的等价式.