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简介：TheV^t-integralasdefinedin[2],whichiseqnivalenttoM^2-integrslasdefinedinTrigonometreseriesbyZygmundisusedtosumtrigonometricseiesin[1].Inthispaper,someconvergenttheoremsofV^2-integralareestablished.

简介：Thedelaydifferentialequationwithpiecewiseconstantargumentx′(t)+a(t)x(t)+b(t)x([t-k])=0isconsidered,wherea(t)andb(t)arecontinuousfunctionson[—k,∞),b(t)≥0,kisapositiveintegerand[·]denotesthegreatestintegerfunction.Somenewoscillationandnonoscillationconditionsareobtained.

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简介：Abstract.Inthispaper,theforcedoddorderneutraldifferentialequationsoftheformarecon-sidered

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简介：Inthispaperweinvestigatetheoscillatorypropertyofthesolutionsofaclassorparaboncpartialfunctionaldifferentialequationswithcontinuousdistrbuteddeviatingarguments.

简介：为有抑制Δ~2x_n+p_nΔx_n+F的非线性的延期差别方程的一些新摆动标准(n，x_(n-τ)，Δx_(n-σ))=0，n=0,1,2，...，(*)被给。我们的结果部分解决摆姿势在的开的问题[数学。Bohemica，125(2000)，421-430]。另外，我们将为(*)的特殊情况建立一些新摆动标准，它在文学改进一些知道thewell的结果。

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简介：1.IntroductionConsiderthefirstorderdifferentialequationwithdeviatingargUmelltTheoscillationofEq.(1)wasstudiedextensivelyinthelastthreedecades.See,forexamDleif--101andthereferencescitedtherein.In1972Ladas.LakshlnhanthamanddeceivedApril1,1997.Re~AugUBt...

简介：WestudythehomogenizationoftheincompressibleNavier-Stokesequationswithperiodicoscillatingcoefficientinaboundednon-homogeneousmedia.Todothat,weintroduceageneralizedcompensatecompactnessresultandasuitableclassoftestfunctiontothisproblem.Bypassingthelimit,weobtainthehomogenizedmodelofthisproblem.

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简介：Byusingtherefinementofthestandardintegralaveragingtechnique,weobtainsomeoscillationcriteriaforsecondordermixednonlinearellipticequations.Theresultsestablishedinthispaperextendandimprovesomeexistingoscillationcriteriaforhalf-linearPDEintheliterature.

简介：Thispaperinvestigatesaclassofevenorderfunctionaldifferentialequationswithdampedterm,andderivestwonewoscillatorycriteriaofsolution.

简介：Abstract.Inthispaper,theoscillationcriteriaforthesolutionsofthenonlineardifferentiale-quationsofneutraltypeoftheforms:

简介：ByRiccatitransformation,weestablishsomenewoscillationcriteriaforaclassofevenorderdelaydifferentialequationswithnonlinearterm.Insomesense,theresultsobtainedextendsomeknownresultsintheliterature.

简介：AclassofnonlinearcoupledsystemforElNino-SouthernOscillation(ENSO)modelisconsidered.Usingtheasymptotictheoryandmethodofvariationaliteration,theasymptoticexpansionofthesolutionforENSOmodelsisobtained.

简介：Weproposeaphotonicstructurestackedsequentiallybyone-dimensionalphotoniccrystalsandcavities.Thewholestructureiscomposedofsingle-negativeanddouble-negativematerials.TheopticalWannier–Starkladder(WSL)canbeobtainedinalowfrequencyregionbymodulatingthewidthsofthecavitiesinorder.Wesimulatethedynamicalbehavioroftheelectromagneticwavepassingthroughtheproposedphotonicstructure.Duetothedispersivecharacteristicsofthemetamaterials,averynarrowWSLcanbeobtained.Thelong-periodelectromagneticBlochoscillationisdemonstratedtheoreticallytohaveaperiodonamicrosecondtimescale.

简介：Strongasymmetricalvorticesappearontheleewardofslenderbodyathighanglesofattack,whichhasveryunfavorableeffectonthestabilityandcontroloftheaircraft.Amethodisdevelopedtocontrolthesideforceofslenderbodyathighanglesofattack,andisverifiedinwindtunnel.Athin-filmtriangularself-excitedoscillationflagisfixedatthetipoftheslenderbodymodelwhosesemi-apexangleis10°.Sideforceisapproximatelylinearlyproportionaltoroll-settingangleofself-excitedoscillationflagathighanglesofattack,andtheslopoffittingstraightlineobtainedbytheleastsquaremethodis-0.158.Thelinearrelationshipbetweensideforceandroll-settingangleprovidesconveniencefordevelopingsideforcecontrollawofslenderbodyathighanglesofattack.Experimentaldatashowsthatthesideforcecoefficientsvarylinearlywithroll-settingangleswhenaspecificplasticself-excitedoscillationflagisusedasthecontrolflag.Therangeofsideforcecoefficientandroll-settingangleare,respectively,-3.2to3.0and-20°to20°.Thedeviceissimple,effective,andisofgreatpotentialinengineeringapplication.