简介：让T是一个triangulated范畴和三角形的一个合适的班。一些基础性质和图词根从定义直接被证明。

简介：WeconsiderthehomogeneousCantorsetswhicharegeneralizationofsymmetricperfectsets,andgiveaformulaoftheexactHausdorffmeasuresforaclassofsuchsets.

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简介：Inthispaper,weconstructanewclassoffinitegroupswhosecommondivisorgraphsarecompletegraphs,whilethereisnoprimedividingallthenontrivialdegrees.

简介：MinistryofCommerce(MOFCOM)releasedrareearthexportquotasforthesecondhalfof2013inaccordancewithrelatedlawsandregulations.Thesecondbatchofrareearthexportquotasshouldbeallocatedtothosequalifiedenterprises;Thesecondbatchofrareearthexportquotasareissuedonthebasisofrareearthenterprises'export

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简介：WeconsiderafamilyofoptimalcontrolproblemswherethecontrolvariableisgivenbyaboundaryconditionofNeumanntype.Thisfamilyisgovernedbyparabolicvariationalinequalitiesofthesecondkind.Weprovethestrongconvergenceoftheoptimalcontrolandstatesystemsassociatedtothisfamilytoasimilaroptimalcontrolproblem.ThisworksolvestheopenproblemleftbytheauthorsinIFIPTC7CSMO2011.

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简介：Inthisarticle,westudyakindofvectorsingularlyperturbeddelay-differentialequation.Usingboundarylayerfunctionmethodandgeometricanalysisskill,theasymptoticexpressionofthesystemisconstructedandtheuniformvalidityofasymptoticsolutionisalsoproved.

简介：Inthisarticle,theexistenceanduniquenessofpositivesolutionforaclassofnonlinearfractionaldifferentialequationsisprovedbyconstructingtheupperandlowercontrolfunctionsofthenonlineartermwithoutanymonotonerequirement.OurmainmethodtotheproblemisthemethodofupperandlowersolutionsandSchauderfixedpointtheorem.Finally,wegiveanexampletoilluminateourresults.

简介：Themainpurposeofthisarticleistostudytheexistencetheoriesofglobalmeromorphicsolutionsforsomesecond-orderlineardifferentialequationswithmeromorphiccoefficients,whichperfectthesolutiontheoryofsuchequations.

简介：在这份报纸概括非线性的Euler微分方程t2k(tu)u+t(f(u)+k(tu))u+g(u)=0被考虑。这里，函数f(u)，g(u)和k(u)满足然而，起始的值问题的解决方案的唯一不潜水艇调节保证的光滑条件(超级)线性被假定。我们在场为相等的平面系统到的一些必要、足够的条件和一些测试有或没能有性质(X+)，它为周期的答案和摆动理论的存在是很重要的。

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简介：WestudyamodifiedversionoftheLane-Emdenequationofthesecondkindmodellingathermalexplosioninaninfinitecylinderandasphere.Wefirstshowthatthesolutiontotherelevantboundaryvalueproblemisboundedandthatthesolutionsaremonotonedecreasing.Theupperbound,thevalueofthesolutionatzero,canbeapproximatedanalyticallyintermsofthephysicalparameters.Weobtainsolutionstotheboundaryvalueproblem,usingboththeTaylorseries(whichworkwellforweaknonlinearity)andthe(5-expansionmethod(validforstrongnonlinearity).Fromhere,weareabletodeducethequalitativebehaviorofthesolutionprofileswithachangeinanyoneofthephysicalparameters.

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简介：Thispaperisconcernedwiththeglobalstabilizationviaoutput-feedbackforaclassofhigh-orderstochasticnonlinearsystemswithunmeasurablestatesdependentgrowthanduncertaincontrolcoefficients.Indeed,therehavebeenabundantdeterministicresultswhichrecentlyinspiredtheintenseinvestigationfortheirstochasticanalogous.However,becauseofthepossibilityofnon-uniquesolutionstothesystems,therelackbasicconceptsandtheoremsfortheproblemunderinvestigation.Firstofall,twostochasticstabilityconceptsaregeneralizedtoallowthestochasticsystemswithmorethanonesolution,andakeytheoremisgiventoprovidethesufficientconditionsforthestochasticstabilitiesinaweakersense.Then,byintroducingthesuitablereducedorderobserverandappropriatecontrolLyapunovfunctions,andbyusingthemethodofaddingapowerintegrator,acontinuous（nonsmooth）output-feedbackcontrollerissuccessfullydesigned,whichguaranteesthattheclosed-loopsystemisgloballyasymptoticallystableinprobability.

简介：这份报纸涉及为有输出状态时间的线性时间不变的系统(LTIS)的一个类的设计推迟的柔韧的差错察觉过滤器(RFDF)。尽管在文学的存在结果为时间延期系统学习RFDF，很少涉及产量状态时间延期系统。我们的学习的基本想法是消除系统的时间延期并且转变它到一个没有延期的系统(即，没有时间延期的一个线性时间不变的系统)由坐标的bicausal变化途径。然后，我们为没有延期的LTIS设计RFDF，它与时间延期等价于原来的系统。我们首先与输出状态时间延期介绍系统的一个类，其差错能被为没有延期的系统使用RFDF设计途径检测。然后，后来，RFDF设计问题能作为匹配问题的标准H-infinity-model被提出，它被使用H-infinity-optimizationLMI技术解决。在最后，差错察觉的适应阀值被选择，一个解说性的设计例子被用来表明设计途径的有效性。

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简介：Arobustadaptiverepetitivelearningcontrolmethodisproposedforaclassoftime-varyingnonlinearsystems.Nussbaum-gainmethodisincorporatedintothecontroldesigntocounteractthelackofaprioriknowledgeofthecontroldirectionwhichdeterminesthemotiondirectionofthesystemunderanyinput.Itisshownthatthesystemstatecouldconvergetothedesiredtrajectoryasymptoticallyalongtheiterationaxisthroughrepetitivelearning.Simulationiscarriedouttoshowthevalidityoftheproposedcontrolmethod.