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简介：<正>IntroductionThefundamentalproblemsofahalfplanewithanisotropicelasticityandtheperiodicfundamentalproblemsofahalfplanewithisotropicelasticitywererespectivelyinvestigatedbyS.G.Leknitskii[1]andLuChien-ke[2].Theseproblemsareformulatedonthecornplexz-planeintermsof

简介：Thebehaviorofthestressintensityfactoratthetipsofcrackssubjectedtouniaxialtensionσχ^∞=pwithtraction-freeboundaryconditioninhalf-planeelasticityisinvestigated.Theproblemisformulatedintosingularintegralequationswiththedistributiondislocationfunctionasunknown.Intheformulation,wemakeusedofamodifiedcomplexpotential.Basedontheappropriatequadratureformulastogetherwithasuitablechoiceofcollocationpoints,thesingularintegralequationsarereducedtoasystemoflinearequationsfortheunknowncoefficients.Numericalexamplesshowthatthevaluesofthestressintensityfactorareinfluencedbythedistancefromthecrackstotheboundaryofthehalf-planeandtheconfigurationofthecracks.

简介：为球形的质子emitters的质子放射性的一半生活在Wentzel-Kramers-Brillouin近似理论上被调查。显微镜的质子原子核相互作用潜力被与重新使正常化的M3Y有效相互作用合拢剩余女儿原子核的密度获得。我们也在计算考虑分光镜的因素(Sp)，它用力量NL3在相对论的吝啬的域途径被评估。计算结果被发现在对试验性的数据的好同意。[从作者抽象]

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简介：这篇论文在一根一半线上调查singularsub线性的边界价值问题的积极答案的存在。为积极连续答案或光滑的答案在上的存在的必要、足够的条件[0，∞)被构造新更低、上面的答案给。

简介：Themulti-parameterinversescatteringproblemofelasticwaveequationwithsinglefre-quencyisinvestigatedwithinBornapproximation.Byuseofawidebandmeasuringschemeinwhichbothtransmittersandreceiversscanoverthehalf-spacesurface,theformulaofthescatteringfieldofelasticwaveisderived.Fourtypesofmodeconversionofelasticwave(P→P,P→S,S→P,S→S)areseparatedfromthescatteringfield.Thesecomponentscontainsufficientinformationforustorecon-structtheconfigurationsofthedensityandLaméparametersofthemedium.Theinverseformulashavetheformoffilteredback-propagationasintheacousticdiffractiontomography.Computersimu-lationsarealsoobtained.

简介：Inthispaper,weconsiderthenonsymmetricalhalf-planeprediction.Apredictiontheoreticproofofthefundamentalformulaaboutonesteppredictionerrorisgiven.AWold-typedecompositionanditsspectralrepresentationtheoremareproved.Spectralextractionproblemsofthehalf-planeinnova-tionsanditssingularcomponentsareinvestigated.

简介：Inthispaper,thenotionofp-waveletpacketsonthepositivehalf-lineR+isintroduced.Anewmethodforconstructingnon-orthogonalwaveletpacketsrelatedtoWalshfunctionsisdevelopedbysplittingthewaveletsubspacesdirectlyinsteadofusingthelowpassandhigh-passfiltersassociatedwiththemultiresolutionanalysisasusedintheclassicaltheoryofwaveletpackets.Further,themethodovercomesthedifficultyofconstructingnon-orthogonalwaveletpacketsofthedilationfactorp>2.

简介：Thispaperpresentssomeresultsontheexistenceofdoublesolutionsforsingularimpulsiveboundaryvalueproblemsonthehalfline.

简介：Inthisworkpropagationofanti-plane(SH)wavesintwopiezoelectricceramichalf-spaceswithathinlayerofasemiconductingmaterialbetweenthehalf-spacesisstudied,andwaveattenuationanddispersioncausedbysemiconductionaswellaswaveamplificationbyabiasingelectricfieldareexamined.

简介：Thispaperisconcernedwiththelarge-timebehaviorofsolutionstoaninitial-boundary-valueproblemforfullcompressibleNavier-Stokesequationsonthehalfline(0,∞),whichisnamedimpermeablewallproblem.Itisshownthatthe3-rarefactionwaveisstableunderpartiallylargeinitialperturbationiftheadiabaticexponentγiscloseto1.Herepartiallylargeinitialperturbationmeansthattheperturbationofabsolutetemperatureissmall,whiletheperturbationsofspecificvolumeandvelocitycanbelarge.Theproofisgivenbytheelementaryenergymethod.

简介：Inthepaper,generalizedordersandgeneralizedtypesofDirichletseriesintherighthalf-planearegiven.Someinterestingrelationshipsonmaximummodulus,themaximumtermandthecoefficientsofentirefunctiondefinedbyDirichletseriesofintherighthalf-planeareobtained.

简介：ALegendrespectralelement/LaguerrecoupledmethodisproposedtonumericallysolvetheellipticHelmholtzproblemonthehalfline.Rigorousanalysisiscarriedouttoestablishtheconvergenceofthemethod.Severalnumericalexamplesareprovidedtoconfirmthetheoreticalresults.TheadvantageofthismethodisdemonstratedbyanumericalcomparisonwiththepureLaguerremethod.

简介：Surfaceeffect,whichisattributedtothedifferentenvironmentsurroundingthesurfaceornear-surfaceatomsfromthatembracingthebulkatoms,maybecomesignificantwhenthesurface-to-volumeratioofabodyislarge.Thispaperconsiderstheeffectofaplaneboundaryofapiezoelectricbodymodeledasathinlayerwithspecifiedmaterialproperties,forwhichatransferrelationbetweenthestatevectorsatthetopandbottomsurfacesisderivedbasedonthestate-spaceformulations.Theequationsofsurf...

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简介：Theinversionofstongscattererembeddedinthehalf-spaceisanimportantprobleminengi-neeringandaverydifficultnonlinearprolbeminmathematics,forwhichtheBorniterativemethodisofnoeffect.Inthispaperthemomentmethodisusedinthediscretizationprocedure.Anumericalapproachispr-esentedbyemployingtheregularizationtechniqueandDBI(distortedBorniterative)method.Thesimulationresultsshowthattheapproachpresentedisefficient.

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简介：在这篇文章，作者们与在正确一半飞机会聚的零目学习Laplace-Stieltjes变换的生长，定义指数的目和指数的低目，并且发现在他们之间的关系。类似于Dirichlet系列的一些结果被获得。

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