简介：Inthispaper,westudytheperturbationofcertainofcubicsystem.Byusingthemethodofmulti-parameterperturbationtheoryandqualitativeanalysis,weinferthatthesystemunderconsiderationcanhavefivelimitcycles.

简介：由使用一般集中假设与立方的顺序为重复的一个家庭建立一条会聚的定理。使用立方的majorizing功能的劣势；majorizing顺序的集中；主要集中定理的概述。

简介：Thisnoteshowsthatthenumberofrootedcubicplanarmaps(loopsandmulti-edgesareallowed)with2n-3non-root-vertices,n≥3,is

简介：Weobtainadeficientcubicsplinefunctionwhichmatchesthefunctionswithcertainareamatchingoveragreatermeshintervals,andalsoprovidesagreaterflexibilityinreplacingareamatchingasinterpolation.Wealsostudytheirconvergencepropertiestotheinterpolatingfunctions.

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简介：Thenotionofsuper-edge-gracefulgraphswasintroducedbyMitchemandSimosonin1994.However,fewexamplesexcepttreesareknown.Inthispaper,weexhibittwoclassesofinfinitelymanycubicgraphswhicharesuper-edge-graceful.Aconjectureisproposed.

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简介：Superconvergencestructuresforrectangularandtriangularfiniteelementsaresummarized.TwodebatableissuesinZhu''spaper[18]arediscussed.Asuperclosepolynomialtocubictriangularfiniteelementisconstructedbyareacoordinate.

简介：TheeffectsofgrowthtimeonthestructureandmorphologyofcubicGaNnucleationlayersonGaAs(001)substratesbymetalorganicchemicalvapordeposition(MOCVD)havebeeninvestigatedusingasynchrotronX-raydiffraction(XRD).TheXRDresultsshowthattheGaN111reflectionsat54.75°inχareameasurablecomponent,howeverthe002reflectionsparalleltoGaAs(001)surfacearenotdetected.TheXRDΦscansandpolefiguresgiveaconvincingproofthattheGaNnucleationlatyersshowexactlythecubicsymmetricalstructure.Thecoherencelengthsalongtheclose-packed<111>directionestuimatedfromthe111peakarenanometerorderofmagnitude,Theoptimalphotoluminescence(PL)spectrumwasobtainedfromthecubicGaNepilayerdepositedonthenucleationlayerfor60sec.

简介：ThispaperstudiesthelocaldynamicsofanSDOFsystemwithquadraticandcubicstiffnessterms,andwithlineardelayedvelocityfeedback.Theanalysisindicatesthatforasufficientlylargevelocityfeedbackgain,theequilibriumofthesystemmayundergoanumberofstabilityswitcheswithanincreaseoftimedelay,andthenbecomesunstableforever.Ateachcriticalvalueoftimedelayforwhichthesystemchangesitsstability,agenericHopfbifurcationoccursandaperiodicmotionemergesinaone-sidedneighbourhoodofthecriticaltimedelay.ThemethodofFredholmalternativeisappliedtodeterminethebifurcatingperiodicmotionsandtheirstability.Itstressesontheeffectofthesystemparametersonthestableregionsandtheamplitudesofthebifurcatingperiodicsolutions.

简介：Inthispaper,acompleteclassificationofarc-transitivecubicgraphsoforder4pisgiven.

简介：Inthispaper,byusingtheexplicitexpressionofthekernelofthecubicsplineinterpolation,theoptimalerrorboundsforthecubicsplineinterpolationoflowersoomthfunctionsareobtained.

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简介：cubic-quintic非线性的Schrodinger方程(CQNLS)在光纤维和原子水动力学起重要作用。由为cubic-quintic使用同类的平衡原则，钟类型，纽结类型，代数学的独居的波浪，和三角法的旅行波浪，有可变系数(vCQNLS)的非线性的Schrodinger方程在一套辅助高顺序的平常的微分方程的帮助下被导出(亚方程为短)。在这篇论文使用的方法可能帮助一个为otherhigh顺序导出准确答案非线性的进化方程，和表演同类的平衡原则的新申请。

简介：Inthispaper,thekernelofthecubicsplineinterpolationisgiven.Anoptimalerrorboundforthecu-bicsplineinterpolationoflowersmoothfunctionsisobtained.

简介：Wepresentaclassofthesecondorderoptimalsplinesdifferenceschemesderivedfromex-ponentialcubicsplinesforself-adjointsingularlyperturbed2-pointboundaryvalueproblem.Weproveanoptimalerrorestimateandgiveillustrativenumericalexample.

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简介：ＦａｉｒｉｎｇｏｆＰａｒａｍｅｔｒｉｃＣｕｂｉｃＢｓｐｌｉｎｅＣｕｒｖｅｓａｎｄＢｉｃｕｂｉｃＢｓｐｌｉｎｅＳｕｒｆａｃｅｓＭｕＧｕｏｗａｎｇ，ＺｈｕＸｉｎｘｉｏｎｇ，ＬｅｉＹｉａｎｄＴｕＨｏｕｊｉｅＤｅｐａｒｔｍｅｎｔｏｆＭａｎｕｆａｃｔｕｒｉ...

简介：Inthispaperwestudytheexistenceoflimitcycleforcubicsystem（E）3,ofKolmogorovtypewithaconicalgebraictrajectoryF2（x,y）=ax2+2bxy+cy2+dx+ey+f=0Ithasbeenprovedinmyformerpapersthat（E）3doesn’thaveanylimitcycleonthewholeplaneIfb2-ac≠0,Nowweareinvestigatingthecasewhereb2-ac=0.Weprovethesufficientandnecessaryformula（2）or（13）witbwhich（E）3musthaveaparabolictrajectoryF2（x,y）=0.Thentherewillnotbeanylimitcycleonthefullplane.Onthebasisofthis,weconclude:ThecubicsystemofKolmogorovtypewithanon-degeneratedquadraticalgebraictrajectoryonthewholeplanehasnolimitcycle.

简介：Inthispaper,weconsiderasystemoftwocubicquasi-linearKlein-Gordonequationswithdifferentmassesforsmall,smooth,compactlysupportedCauchydatainonespacedimension.Weshowthatsuchasystemhasglobalexistencewhenthenonlinearitiessatisfyaconvenientnullcondition.OurresultsextendtheglobalexistenceprovedbySunagawarecentlyunderthenon-resonanceassumptiontothatundertheresonanceassumption.