简介:Thisarticleisconcernedwithsecond-ordernecessaryandsufficientoptimalityconditionsforoptimalcontrolproblemsgovernedby3-dimensionalNavier-Stokesequations.Theperiodicstateconstraintisconsidered.
简介:Asidechainliquidcrystallinecopolysiloxane,whichwouldshowelectro-opticeffectsasknownfromlowmassliquidcrystal,wassynthesizedbyhydrosilylationreaction,andthetwohomologousmonomerswithdifferentlengthspacerscontainingSchiff’sbasemesogenwith—NO2terminatedgroupweregraftedtoapolysiloxanemainchain.Residualmonomerincrudeproductiseffectiveinreinforcingtheresponsetoanelectricfieldoverthatofpurepolymericliquidcrystal.
简介:Apartiallysubstitutedβ-cyclodextrinchiralstationaryphasewaspreparedbythereactionofphenylisocyanate.TheenantiomersofaseriesofO,O-diethyl(p-methylbenzenesulfonamido)-aryl(oralkyl)-methylphos-.phonateswerestudiedonthepreparedphenylcarbamatederivativeβ-cyclodextrinbondedphaseandacommercial(S)-(.+)-l-(l-naphthyl)ethylcarbamatederivativeβ-cyclodextrinbondedphaseonnormalphasechromato-graphiccondition.Resultsshowthatthepreparedphenylcarbamatederivativeβ-cyclodextrinbondedphasehasbetterenantiomericselectivitytotheseriesofcompounds.Achiralrecognitionmechanismwassuggestedfortheseparationofthesenovelorganicphosphorusenantiomers.
简介:利用变分原理研究超线性常微分p-Laplace系统周期解的存在性.在带有脉冲和阻尼作用项时,根据易一型山路定理,得到了系统多重周期解的存在性.
简介:利用Clark定理,研究了一维p-Laplacian方程边值问题多解的存在性,得到了这类边值问题至少有n对非平凡解的充分条件.
简介:IntroductionThesynthesesandcharacterizationofporphyrinsandmetalloporphyrinshavebeenstudiedextensively[1].Hemoglobin,myoglobinorcytochromeP450,hasbeenappliedasamodelcompound[2].WongC.P.etal.[3]synthesizedthefirstlanthanideporphyrin,acetylacetonatetetraphenylporphyrineuropium,in1974.
简介:ThestatisticalpropertiesofthemodeconvertedSVwavespecklesinthebackscatteringspacewerestudiedasultrasonicPwaveswereincidentonastronglyscatteringinterface.BasedontheFrensel-Huygenstheoryandthecorrelationprinciple,theRayleighdistributionoftheSVwavespeckleamplitudeandtheformulaforcalculatingtheaveragelateralsizeoftheSVwavespeckleswereobtained.Besides,theprobabilitydensityfunctionofthenormalizedintensityoftheSVwavespecklesreceivedbyatransversewaveprobewithanapertureofsomesizewasdeduced.Theprobabilitydensityfunctionwasrelatedtotheaveragenumberofthespecklesreceivedbytheprobe.TwotransversewaveprobeswithaperturesindifferentsizewereemployedtomeasurethesoundintensityoftheSVwavespecklesintheexperiment.Aftertheexperimentaldataofthespeckleintensitywereanalyzedstatistically,itwasshownthattheexperimentalresultswereingoodagreementwiththetheoreticalones.Thus,thepresentedtheoreticalconclusionswereprovedtobecorrect.
简介:让b=(b_1,···,b_m),b_i∈Λ_(β_i)(R~n),1≤i≤m,0<β_i<β,0<β<1,[b,T]f(x)=∫_(R~n)(K是aCalderon-Zygmund的b_1(x)-b_1(y))···(b_m(x)-b_m(y))K(x-y)f(y)dy,核。在这篇论文,我们显示出那[b,T]从L~p(R~n)toF_p~被围住(β,∞)(R~n),以及[b,从L~p(R~n)的I_α]到F_q~(β,∞)(R~n),在哪儿1/q=1/p-α/n。
简介:混乱理论教了我们很可能有非线性和随机的输入愿望的一个系统生产不规则的数据。如果随机的错误是不规则的数据,那么随机的错误过程将提起非线性(Kantz和Schreiber(1997))。Tsai(1986)与AR(1)错误在线性模型为自相关和heteroscedasticity介绍了合成测试。刘(2003)与DBL在非线性的模型为关联和heteroscedasticity介绍了合成测试(p,0,1)错误。因此,在回归模型的重要问题是bilinearity,关联和heteroscedasticity的察觉。在这篇文章,作者与DBL讨论非线性的模型的更一般的大小写(p,q,1)由20测试的随机的错误。为bilinearity,关联,和heteroscedasticity的测试的几统计在简单矩阵公式被获得,并且表示。有线性错误的回归模型的结果与双线性的错误被扩大到那些。模拟学习被执行调查测试统计的力量。这篇文章的所有结果扩大并且发展结果Tsai(1986),魏,等(1995),和刘,等(2003)。
简介:Lp-LqdecayestimateofsolutiontoCauchyproblemofalinearthermoviscoelasticsystemisstudied.Byusingadiagonalizationargumentoffrequencyanalysis,thecoupledsystemwillbedecoupledmicrologically.Thenwiththehelpoftheinformationofcharacteristicrootsforthecoefficientmatrixofthesystem,Lp-LqdecayestimateofparabolictypeofsolutiontotheCauchyproblemisobtained.
简介:这研究的目的是评估本地人爬象粗糙的颗粒的热那样的各种各样的微观结构的损坏影响了地区(CGHAZ),精细的热影响了地区(FGHAZ),intercritical热影响了作为类型IV区域知道的地区(ICHAZ),焊接金属,并且由小穿孔机(SP)基于P92(9Cr-2W)钢焊接的金属爬在600掳C的测试。另外,焊接分开决定最弱的本地人,微观结构在上的效果爬在P92钢的焊接的破裂行为被学习。从试验性的结果,FGHAZ和类型IV区域结果是P92焊接的很弱的本地部分。特别,TYPEIV区域显示出最大的排水量率并且与许多过了最短的破裂生活爬洞广泛地在大多数这个区域传播了。