简介：Inthispaper,wediscusstheexistenceofsolutionofanonlineartwo-pointboundaryvalueproblemwithapositiveparameterQarisinginthestudyofsurfacetension-inducedflowsofaliquidmetalorsemiconductor.ByapplyingtheSchauder'sfixed-pointtheorem,weprovethattheproblemadmitsasolutionfor0≤Q≤14.306.Itimprovestheresultof0≤Q＜1in[2]and0≤Q≤13.213in[3].

简介：Aclassofperiodicinitialvalueproblemsfortwo-dimensionalNewton-Boussinesqequationsareinvestigatedinthispaper.TheNewton-Boussinesqequationsareturnedintotheequivalentintegralequations.Withiterationmethods,thelocalexistenceofthesolutionsisobtained.Usingthemethodofaprioriestimates,theglobalexistenceofthesolutionisproved.

简介：Inthispaperwediscussthediscrete,timenon--homogeneousdiscountedMarkoviandecisionprogramming,wherethestatespaceandallactionsetsarecountable.Supposethattheoptimumvaluefunctionisfinite.Wegivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.Supposethattheabsolutemeanofrewardsisrelativelybounded.Wealsogivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.

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简介：Inthispaper,weinvestigateathird-ordergeneralizedneutralfunctionaldifferentialequationwithvariableparameter.BasedonMawhin'scoincidencedegreetheoryandsomeanalysisskills,weobtainsufficientconditionsfortheexistenceofperiodicsolutionfortheequation.Anexampleisalsoprovided.

简介：TheexistenceanduniquenessofastrongperiodicsolutionoftheevolutionsystemdescribinggeophysicalflowinboundeddomainsofRN(N=3,4)areprovenifexternalforcesareperiodicintimeandsufficientlysmall.

简介：在这篇论文，为将军的混合起始边界的价值问题首先在领域D=与非线性的边界条件订伪线性的双曲型组{(t，x)|t≥0，x≥0}被考虑。一个充分条件将保证全球弱不连续的答案的存在和唯一被给。

简介：在这篇论文，我们与非线性的边界条件调查强烈联合的非线性的抛物线的系统的积极解决方案:[图形]在函数上的适当假设下面一，b，g，h，d和f，我们获得解决方案可以全球性存在或由利用上面、更低的解决方案技术在有限时间骤起。

简介：由Galerkin有限元素方法，我们显示出非线性的粘弹性的完整的Marguerre-vonKármán的弱答案的全球存在和唯一浅壳方程。

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简介：Inthispaper,weareconcernedwiththeglobalexistenceandconvergenceratesofthesmoothsolutionsforthecompressiblemagnetohydrodynamicequationswithoutheatconductivity,whichisahyperbolic-parabolicsystem.TheglobalsolutionsareobtainedbycombiningthelocalexistenceandaprioriestimatesifH3-normoftheinitialperturbationaroundaconstantstatesissmallenoughanditsL1-normisbounded.Aprioridecay-intimeestimatesonthepressure,velocityandmagneticfieldareusedtogettheuniformboundofentropy.Moreover,theoptimalconvergenceratesarealsoobtained.

简介：Inthispaper,wediscusstheexistenceanduniquenessofmildsolutionsofrandomimpulsiveabstractneutralpartialdifferentialequationsinarealseparableHilbertspace.TheresultsareobtainedbyusingLeray-SchauderAlternativeandBanachContractionPrinciple.Finallyanexampleisgiventoillustrateourproblem.

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

简介：Inthispaper,westudytheexistenceanduniquenessofsolutionstostochasticdifferentialequationsdrivenbyG-Brownianmotion(GSDEs)withintegral-Lipschitzcoefficients.

简介：这份报纸是一个continue工作[4,5]。在以前的二份报纸，我们与看情况时间的抑制术语学习了多维的可压缩的Euler方程的Cauchy问题--(1+t)u，在此0并且>0是常数。我们显示出那，为所有0并且>0，Cauchy问题的光滑的答案全球性存在或在有限时间骤起。在现在的纸，而不是Cauchy问题，我们在一半考虑起始边界的价值问题空间有空间尺寸d=的d+2,3。在方程和液体涡度的特殊结构的帮助下，我们克服困难从边界效果产生。我们证明那在那里存在0的一个全球光滑的解决方案<1当起始的数据接近它的平衡状态时。另外，液体涡度的指数的腐烂将也被建立。

简介：Inthispaper,thefixedpointtheoremisappliedtoinvestigatetheexistenceofsolutionsofSturm-LiouvilleboundaryvalueproblemsfornonlinearsecondorderimpulsivedifferentialequationsinBanaehspaces.

简介：ＥＸＩＳＴＥＮＣＥＯＦＷＥＡＫＳＯＬＵＴＩＯＮＳＯＦ２－ＤＥＵＬＥＲＥＱＵＡＴＩＯＮＳＷＩＴＨＩＮＩＴＩＡＬＶＯＲＴＩＣＩＴＹω＿０∈Ｅ（ｌｏｇ￣＋Ｌ）￣α（α＞０）ＪＩＵＱＵＡＮＳＥＮ（ＩｎｓｔｉｔｕｔｅＯｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ｔ...

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简介：Thispaperdealswiththemixedinitial-boundaryvalueproblemofDirichlettypeforthenonlinearelastodynamicsystemoutsideastar-shapeddomain.Thealmostglobalexistenceofsolutionwithsmallinitialdatatothisproblemisprovedandalowerboundforthelifespanofsolutionsisgiven.