简介：Thesingularlyperturbednonlinearboundaryvalueproblemsareconsidered.Usingthestretchedvariableandthemethodofboundarylayercorrection,theformalasymptoticexpansionofsolutionisobtained.Andthentheuniformvalidityofsolutionisprovedbyusingthedifferentialinequalities.

简介：Thefollowingpartialdifferentialequationsarestudied:generalizedfifth-orderKdVequation,waterwaveequation,Kupershmidtequation,couplesKdVequation.Theanalyticalsolutionstotheseproblemsviausingvariousansaizesbyintroducingasecond-orderordinarydifferentialequationarefoundout.

简介：Theauthorsstudyhomogenizationofsomenonlinearpartialdifferentialequationsoftheform-div(a(hx,h^2x,Duh))=f,whereaisperiodicinthefirsttwoargumentsandmonotoneinthethird.Inparticularthecasewhereasatisfiesdegeneratedstructureconditionsisstudied.ItisprovedthatuhconvergesweaklyinW0^1,1(Ω)totheuniquesolutionofalimitproblemash→＋∞.Moreover,explicitexpressionsforthelimitproblemareobtained.

简介：Acompoundneuralnetworkisutilizedtoidentifythedynamicnonlinearsystem.Thisnetworkiscomposedoftwoparts:oneisalinearneuralnetwork,andtheotherisarecurrentneuralnetwork.Basedontheinversetheoryacompoundinversecontrolmethodisproposed.Thecontrollerhasalsotwoparts:alinearcontrollerandanonlinearneuralnetworkcontroller.Thestabilityconditionoftheclosed-loopneuralnetwork-basedcompoundinversecontrolsystemisdemonstratedbasedontheLyapunovtheory.Simulationstudieshaveshownthatthisschemeissimpleandhasgoodcontrolaccuracyandrobustness.

简介：Inthispaper,thenonlinearcollapseoftheBOHAI-8pilefoundationjacketplatformhasbeenanalyzed.Theultimateloadandcollapseprocessoftwocomputationalmodelsofthestructurearegiven.Onemodelisoffixedsupportwhoselengthiseighttimesthepilelegdiameterandtheotherconsid-ersthenonlinearityofthesoil-pileinteraction.

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简介：Inthispaper,weinvestigateaclassofHamiltoniansystemsarisinginnonlinearcompositemedia.Bydetailedanalysisandcomputationweobtainadecayingestimatesonthesemigroupandprovetheorbitalinstabilityoftwofamiliesofexplicitsolitarywavesolutions(slowfamilyinanisotropiccaseandsolitarywavesinisotropiccase),whichtheoreticallyverifytherelatedguessandnumericalresults.

简介：Thecompletesolutionsoftheuprightandobliquepermanentrotationsofasymmetricheavygyroscopewithperfectdissipationaregiven.TheasymptoticstabilitycriteriaandunstabilitycriteriafortheserotationsinthesenseofLiapunovandthesenseofMovchanarealsogivenonthebasisofexactnonlinearmotionequationsrespectively.Therelatedobliquerotationsarenon-isolated.Themainsubdomainsofthere-gionsofasymptoticstabilityareobtained.Therelatedbifurcationphenomenaarediscussedindetail.

简介：六个增强的具体框架与或没有石工技术填入在水平周期的负担下面被构造并且测试。所有六个框架有在列的横向的加强被没为可锻的框架遇见currentACI说明的矩形的箍在提供的相同细节。为比较目的，在三个这些框架的列是由carbon-fiber-reinforced-polymer(CFRP)的jacketed避免的表可能砍失败。Anonlinear闲差事分析，单个元素的力量变丑关系基于ACI318，FEMA356，和陈在被形成“s模型，为这些框架并且与测试结果相比被执行。这些框架的行为上的填入的失败机制和影响在学习被检验。从现在的分析的结论为infilled水泥框架大楼结构的评估和设计向结构的工程师提供珍贵信息。

简介：ＡＣＬＡＳＳＯＦＳＩＮＧＵＬＡＲＬＹＰＥＲＴＵＲＢＥＤＮＯＮＬＩＮＥＡＲＲＯＢＩＮＰＲＯＢＬＥＭＳＺｈａｏＷｅｉｌｉ（赵为礼）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ．ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｃｈｕｎ１３００２３，Ｃｈｉｎａ...

简介：Inthispaperweusetheauxiliaryprincipletechniquetosuggestandanalyzenovelandinnovativeiterativealgorithmsforaclassofnonlinearvariationalinequalities.Severalspecialcases,whichcanbeobtainedfromourmainresults,arealsodiscussed.

简介：Inthispaper,somenewperiodicsolutionsofnonlinearevolutionequationsandcorrespondingtravellingwavesolutionsareobtainedbyusingthedoublefunctionmethodandJacobiellipticfunctions.

简介：Inthispaper,weprovetheexistenceofsolutionoftheCauchyproblemofanonlineardegenerateparabolicequation.Moreoversomeregularizingeffectsareexhibited.

简介：Inthispaper,thestabilizationproblemofnonuniformTimoshenkobeambysomenonlinearboundaryfeedbackcontrolsisconsidered.Byvirtueofnonlinearsemigrouptheory,energy-perturbedapproachandexponentialmultipliermethod,itisshownthatthevibrationofthebeamundertheproposedcontrolactiondecaysexponentiallyorinnegativepoweroftimetast→∞.

简介：Abstract.Inthepresentpaper,wedealwiththelong-timebehaviorofdissipativepartialdifferenttialequations,andweconstructtheapproximateinertialmardfoldsforthenonlbaearStringerequationwithazeroorderdlssipation.Theorderofapproximationofthesemanlfoldetotheglobalattractorisderived.

简介：Onthebasisofthetechniquesofsingularvaluedecompositionandgeneralizedinverse,twonewmethodsfordesigningassociativememoriesarepresented.Thetwomethodsnotonlyguaranteethateachgivenvectorisanequilibriumpointofthenetwork,butalsoguaranteetheasymptoticstabilityoftheequilibriumpoints.Examplesshowtheeffectivenessofthenewmethods.

简介：ＡＮＡＬＹＳＩＳＯＦＳＴＲＯＮＧＳＩＮＧＵＬＡＲＩＴＩＥＳＦＯＲＮＯＮＬＩＮＥＡＲＨＹＰＥＲＢＯＬＩＣＥＱＵＡＴＩＯＮＳＦＡＮＧＤＡＯＹＵＡＮＡｂｓｔｒａｃｔ．Ｉｎｔｈｉｓｐａｐｅｒｗｅｒｅｖｉｅｗｏｕｒｓｏｍｅｒｅｓｕｌｔｓａｂｏｕｔｔｈｅｓｔｒ...

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简介：质地图像分割基于非线性的散开被介绍。质地的规模能在非线性的散开的过程期间被测量。有保存的边的一幅光滑的5隧道向量图象，紧张镇静，可伸缩，质地的取向想象，能被联合非线性的散开完成。一个多信道的统计区域活跃轮廓被采用分割这幅向量图象。因为参数不对不同质地图象敏感，方法能被看作一种无指导的分割。试验性的结果在质地图象的半自动的抽取显示出它的高效率。

简介：Thepurposeofthepresentpaperistocallforattentiontothefollowingquestion:Whichoftheinitialdata(nonsmall)admitglobalsmoothsolutionstotheCauchyproblemfornonlinearwaveequations.Afewcasesandexamplesaresketched,showingthatthegeneralanswerofthisquestionmaybequitecomplicated.