简介：在这份报纸，作者在与Gaussian领域的协变性功能有关的一些温和条件下面为非静止的Gaussian随机的领域的最大值证明一条几乎肯定的限制定理。作为副产品，作者也获得扩大了存在结果的几弱集中结果。

简介：<正>Inthispaperweconsiderasemi-dicretizednonlinearSchrdinger(NLS)equationwithlocalintegralnonlinearity.Itisprovedthatforeachmeshsize,thereexistattractorsforthediscretizedsystem.TheboundstortheHausdorffandfractaldimensionsofthediscreteattractorsareobtained,andthevariousboundsareindependentofthemeshsizes.Furthermore.numericalexperimentsaregivenandmanyinterestingphenomenaareobservedsuchaslimitcycles,chaoticattractorsandaso-calledcrisisofthechaoticattractors.

简介：<正>Inthispaper,wediscussthevariationalproblemsofstronglyquasiconvexfunctionalswithboundaryintegralsandthenon-Dirichletproblemsofquasilineardegenemteellipticequations.Wehaveestablishedthesolvabilitytheoremsofthevariationalproblemsandthenon-Dirichletproblems.

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简介：Afewweakandstrongconvergencetheoremsofthemodifiedthree-stepiterativesequencewitherrorsandthemodifiedIshikawaiterativesequencewitherrorsforasymptoticallynon-expansivemappingsinanynon-emptyclosedconvexsubsetsofuniformlyconvexBanachspacesareestablished.TheresultspresentedinthispapersubstantiallyextendtheresultsduetoChang(2001),Osilikeandhniagbosor(2000),Rhoades(1994)andSchu(1991).

简介：Inthispaper,thebehaviorforcommutatorsofaclassofbilinearsingularintegraloperatorsassociatedwithnon-smoothkernelsontheproductofweightedLebesguespacesisconsidered.BysomenewmaximalfunctionstocontrolthecommutatorsofbilinearsingularintegraloperatorsandCMO(Rn)functions,compactnessforthecommutatorsisproved.

简介：Inthisarticle,wewillinvestigatethepropertiesofiterativesequencefornon-expansivemappingsandpresentseveralstrongandweakconvergenceresultsofsuccessiveapproximationstofixedpointsofnon-expansivemappingsinuniformlyconvexBanachspaces.Theresultspresentedinthisarticlegeneralizeandimprovevariousonesconcernedwithconstructivetechniquesforthefixedpointsofnon-expansivemappings.

简介：Inthisarticle,byusingtheoryoflinearevolutionsystemandSchauderfixedpointtheorem,weestablishasufficientresultofexactnullcontrollabilityforanonautonomousfunctionalevolutionsystemwithnonlocalconditions.Inparticular,thecompactnesscondi-tionorLipschitzconditionforthefunctionginthenonlocalconditionsappearinginvariousliteraturesisnotrequiredhere.Anexampleisalsoprovidedtoshowanapplicationoftheobtainedresult.

简介：Inthisarticle,weobtaintheL~p-boundednessofcommutatorsofLipschitzfunctionsandsingularintegralswithnon-smoothkernelsonEuclideanspaces.

简介：Westudytheexistenceoftravelingwavesolutionsforanonlocalandnon-monotonedelayedreaction-difusionequation.Basedontheconstructionoftwoassociatedauxiliaryreactiondifusionequationswithmonotonicityandbyusingthetravelingwavefrontsoftheauxiliaryequations,theexistenceofthepositivetravelingwavesolutionsforc≥cisobtained.Also,theexponentialasymptoticbehaviorinthenegativeinfnitywasestablished.Moreover,weapplyourresultstosomereactiondifusionequationswithspatio-temporaldelaytoobtaintheexistenceoftravelingwaves.Theseresultscover,complementand/orimprovesomeexistingonesintheliterature.

简介：Inthispaper,weareconcernedwiththeexistenceofperiodicsolutionsofsecond-ordernon-autonomoussystems.ByapplyingtheSchauder'sfixedpointtheoremandMiranda'stheorem,anewexistenceresultofperiodicsolutionsisestablished.

简介：AclassofnonlinearparabolicequationonapolygonaldomainΩR2isinves-tigatedinthispaper.Weintroduceafiniteelementmethodonoverlappingnon-matchinggridsforthenonlinearparabolicequationbasedonthepartitionofunitymethod.Wegivetheconstructionandconvergenceanalysisforthesemi-discreteandthefullydiscretefiniteelementmethods.Moreover,weprovethattheerrorofthediscretevariationalproblemhasgoodapproximationproperties.Ourresultsarevalidforanyspatialdimensions.Anumericalexampletoillustratethetheoreticalresultsisalsogiven.

简介：在这篇文章，我们由使用突然地最大的功能用非光滑的核和某些多线性的整流器的围住的海角为多线性的单个积分获得加权的标准估计。

简介：这份报纸涉及BMO功能和multilinear的某些multilinear整流器有非光滑的核的单个不可分的操作员。由突然地最大的功能估计，为这种整流器的加权的标准不平等被建立。

简介：在这篇文章，我们得到non-selfsimilar基本在另一种看法能量守恒定律飘动，它与平常的自我类似的转变不同。答案有不同全球结构。这篇文章被划分成三部分。第一部分是介绍。在第二部分，我们讨论non-selfsimilar基本波浪和他们二维的能量守恒定律的一个班的相互作用。在这种情况中，我们考虑起始的断绝是有u+的抛物线的盒子>0，当明确的non-selfsimilar变成稀薄波浪能被获得时。在第二部分，我们考虑盒子u+的答案结构<0。新答案结构被在不同基本波浪之间的相互作用获得，并且将继续与另外的状态交往。全球答案将与一种尺寸的状况很不同。

简介：AccordingtotheanalyticalcharacteristicsofcubicBsplinefunction,suchascompactnessanddiscontinuoussmoothness,twomethods,GlobalintegralmethodandAssemblingmethodareproposedtocalculatethenon-linearstiffnessmatrixinthesplinefiniteelementmethod.TheGlobalintegralmethodtransformstheintegraloftheproductofsplinefunctionsintothesumofboundarydataoftheproductbyintegralbyparts.TheAssemblingmethodusesthecompactnesscharacteristicsofthesplinefunction,reducesthen+3orderstiffnessmatrixinunitintervaltothe4ordermatrix,andthenobtainstheglobalmatrixbyassemblingthesmallones.Thetwoproposedmethodsareclearintheoryandeasytoberealizedbycomputerprogram,whichcaneffectivelyimprovetheefficiencyofthealgorithmfornonlinearsplineelementmethod.

简介：WeprovethatforeveryLipschitzisomorphismffromaseparableHilbertspaceHtoaBanachspaceYwithRadon-Nikodymproperty,thereisaboundedsurjectivelinearoperatorT:H→Ysothat(f+T)-1(NG(f-1))isaΓ-nullsetofH,whereNG(f-1)isthesetofallthepointsofGteauxnon-differentiabilityoff-1.

简介：1.IntroductionTherearealotofresultsaboutHammersteinintegralequations(see[1]),butsupen-linearproblemsaredifficult;thereareonlyafewresultsaboutit.In[2,3]theauthorsstudysuperliniearintegralequations;in[4]theauthorsstudysystemofsuperlinearintegralequatio...

简介：Nonlineardynamicalsystemsaresometimesundertheinfluenceofrandomfluctuations.Itisdesirabletoexaminepossiblebifurcationsforstochasticdynamicalsystemswhenaparametervaries.Acomputationalanalysisisconductedtoinvestigatebifurcationsofasimpledynamicalsystemundernon-Gaussianα-stableLévymotions,byexaminingthechangesinstationaryprobabilitydensityfunctionsforthesolutionorbitsofthisstochasticsystem.ThestationaryprobabilitydensityfunctionsareobtainedbysolvinganonlocalFokker-Planckequationnumerically.Thisallowsnumericallyinvestigatingphenomenologicalbifurcation,orP-bifurcation,forstochasticdifferentialequationswithnon-GaussianLévynoises.

简介：Non-commutativePoissonalgebrasarethealgebrashavingbothanassociativealgebrastructureandaLiealgebrastructuretogetherwiththeLeibnizlaw.Inthispaper,thenon-commutativepoissonalgebrastructuresontheLiealgebrassln(Cq)aredetermined.