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