简介：在这份报纸，作者考虑由一些侧面的边界数据在一个ultrahyperbolic方程决定一个系数或一个来源术语的反的问题。作者证明H?lder估计哪个是全球、本地的，关键工具是Carleman估计。

简介：Inthisarticle,byusingthestabilityofCauchytypeintegralwhenthesmoothperturbationforintegralcurveandtheSobolevtypeperturbationforkerneldensityhappen,wediscussthestabilityofthesecondfundamentalprobleminplaneelasticitywhenthesmoothperturbationfortheboundaryoftheelasticdomain(unitdisk)andtheSobolevtypeperturbationforthedisplacementhappen.Andtheerrorestimateofthedisplacementbetweenthesecondfundamentalproblemanditsperturbedproblemisobtained.

简介：NumericalsimulationsoftheflowinthedrafttubeofaFrancisturbinearecarriedoutinordertoelucidatetheeffectsoftangentialvelocityonflowstability.Influenceofthelocationofthemaximumtangentialvelocityisexploredconsideringtheequalityofthetotalenergyattheinletofthedrafttube.Itisfoundthattheamplitudeofthepressurefluctuationdecreaseswhenthelocationofthemaximumofthetangentialvelocitymovesfromthecentretothewallonthecrosssection.Thus,thestabilityoftheflowinthedrafttubeincreaseswiththemovingofthelocationofthemaximumtangentialvelocity.However,therelativehydrauliclossincreasesandtherecoverycoefficientofthedrafttubedecreasesslightly.

简介：Thepaperdevelopsexponentialstabilityoftheanalyticsolutionandconvergenceinprobabilityofthenumericalmethodforhighlynonlinearhybridstochasticpantographequation.Theclassicallineargrowthconditionisreplacedbypolynomialgrowthconditions,underwhichthereexistsauniqueglobalsolutionandthesolutionisalmostsurelyexponentiallystable.Onthebasisofaseriesoflemmas,thepaperestablishesanewcriteriononconvergenceinprobabilityoftheEuler-Maruyamaapproximatesolution.Thecriterionisverygeneralsothatmanyhighlynonlinearstochasticpantographequationscanobeytheseconditions.Ahighlynonlinearexampleisprovidedtoillustratethemaintheory.

简介：Isotacticpoly(butene-1)(iPB)withsphericalmorphologywassynthesizedsuccessfullywithbulkprecipitationpolymerizationwithoutpost-treatmentoftheproducts.ThebulkprecipitationpolymerizationprocessmadeitpossibleforiPBtobeusedasgeneralplasticduetotheacceptabledecreasedcostcomparedwiththesolutionpolymerizationprocess.TheinfluenceofcatalystresiduesontheagingandthermalstabilityofiPBsynthesizedbybulkprecipitationpolymerizationmethodwasinvestigatedbygelpermeationchromatography,mechanicalperformancetesting,thermogravimetricanalysisandinfraredspectroscopicanalysis.CommercialiPBandthelab-madeiPBwithvariedcatalystresiduecontentswerestudied.TheresultsdemonstratedthatthecatalystresiduesplayedanimportantroleintheagingprocessoftheiPB.Apossiblemechanismofagingpromotionbycatalystresidueswasproposed.

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简介：Rhodium-andironphosphate-basedcatalystsarebyfarthemostpromisingcatalystsforoxy-brominationofmethane(OBM)reaction.However,mostliteraturereportedeitherRh-orFePO4-basedcatalysts,andtheresultswererarelystudiedinauniformenvironmentalcondition.Inthisreport,comparativestudywasconductedonsilica-andsiliconcarbide-supportedrhodiumandironphosphatecatalystswiththemainfocusesonstabilityperformanceandcokedeposition.ThecatalyticresultsdemonstratedthatthestabilityofbothRh-andFePO4-basedcatalystswasgreatlyinfluencedbythesupportsused,andsiliconcarbide-supportedcatalystsshowedmuchbetteranti-cokingabilityascomparedwithsilica-supportedones.Temperature-programmedoxidationovertheusedcatalystsfurtherindicatedthatthecokeformationmechanismswerecompletelydifferentbetweensilica-supportedrhodiumandironphosphatecatalysts.WhilecokesmightbecausedbycondensationofCH2Br2oversupportedironphosphate,methanedecompositionmightbethereasonforcokeformationoversilica-supportedrhodiumcatalyst.ThesefindingsmightpavethewayfordesigninghighlyefficientandstablecatalystsoftheOBMreaction.

简介：Inthispaper,stochasticglobalexponentialstabilitycriteriafordelayedimpulsiveMarkovianjumpingreaction-diffusionCohen-Grossbergneuralnetworks(CGNNsforshort)areobtainedbyusinganovelLyapunov-Krasovskiifunctionalapproach,linearmatrixinequalities(LMIsforshort)technique,It?formula,Poincar′einequalityandHardy-Poincaréinequality,wheretheCGNNsinvolveuncertainparameters,partiallyunknownMarkoviantransitionrates,andevennonlinearp-Laplacediffusion(p>1).ItisworthmentioningthatellipsoiddomainsinRm(m≥3)canbeconsideredinnumericalsimulationsforthefirsttimeowingtothesyntheticapplicationsofPoincar′einequalityandHardy-Poincar′einequality.Moreover,thesimulationnumericalresultsshowthateventhecorollariesoftheobtainedresultsaremorefeasibleandeffectivethanthemainresultsofsomerecentrelatedliteraturesinviewofsignificantimprovementintheallowableupperboundsofdelays.