简介：Inthispaper,itisobtainedthataperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlystablewithrespecttoΩ_,andhasaperiodicsolutionifx=(t)isweaklyuniformlyasymptoticallystablewithrespecttoΩ_.Meanwhile,itisalsoobtainedthatauniformlyalmostperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlyasymptoticallystablewithrespecttoA_~f

简介：Thispaperdevelopsamethodwhichenablesustostudythenumber,existenceandstabilityofperiodicsolutionsandalmostperiodicsolutionsofthescalarordinarydifferentialequation.Someapplicationsofthemethodarealsogiven.

简介：作者与非线性的边界状况学习p(x)拉普拉斯算符方程。由使用变化方法，在不安上的适当假设下面称为f1(x,u)，f2(x,u)并且h1(x),h2(x),以便联系功能分别地满足“山通行证词根”和“喷泉定理”，答案的存在和复合被获得。讨论基于可变代表Lebesgue和Sobolev空格的理论。

简介：AstatisticalthermodynamictheoryoflinearproteinsolutionswasproposedwiththeaidofalatticemodelandappliedtotypeⅠantifreezeprotein(AFPI)solutions.ThenumericalresultsforseveralAFPIsolutionsshowthattheGibbsfunctionofthesolutionhasaminimumatacertainproteinconcentration,buttheproteinchemicalpotentialincreaseswithincreasingtheconcentration.TheinfluencesoftemperatureandproteinchainlengthontheAFPIchemicalpotentialwerealsodiscussed.Theevaluationforthecolligativedepressionofthefreezingpointconfirmsthattheantifreezeactionshouldberecognizedasnon-colligative.Thetheoreticaldeductionfortheconcentrationdependenceofthethermalhysteresisactivitycoincidesqualitativelywiththepreviousexperimentalandtheoreticalresults.

简介：Inthispaper,thetheoryofmajorefficiencyformultiobjectiveprogrammingisestablished.Themajor-efficientsolutionsandweaklymajor-efficientsolutionsofmultiobjectiveprogramminggivenhereareParetoefficientsolutionsofthesamemultiobjectiveprogrammingproblem,buttheconverseisnottrue.Inaceratinsense,thesesolutionsareinfactbetterthananyotherParetoefficientsolutions.Somebasictheoremswhichcharacterizemajor-efficientsolutionsandweaklymajor-efficientselutionsofmultlobjectiveprogrammingarestatedandproved.Furthermore,theexistenceandsomegeometricpropertiesofthesesolutionsarestudied.

简介：Itiswellknownthatforsymmetriclinearprogrammingthereexistsastrictlycomplementarysolutioniftheprimalandthedualproblemsarebothfeasible.However,thisisnotnecessarytrueforsymmetricorgeneralsemidefiniteprogrammingevenifboththeprimalproblemanditsdualproblemarestrictlyfeasible.Someotherpropertiesarealsoconcerned.

简介：Theobjectiveofthispaperistogiveaconstructiveapproachtothesolutionofthefundamentalfunctionsforcardinalinterpolationfromashift-invariantspacegeneratedbythe(multi-)integertranslatesofsomecompactlysupportedfunctionwhosepolynomialsymbolhasanon-emptyzeroset.ThisproblemwasfirstintroducedbyChut,Diamond,andRaphael,whereexplicitsolutionsweregivenforvariouszerosets.Later,deBoor,Hollig,andRiemenschneidergaveanexistenceproofforzerosetswhicharemoregeneral.Inthispa-per,wegiveanintegralrepresentationofthefundamentalsolutionsthatcanbemadeexplicitinsomecasesandwewillalsogiveagrowthconditionofsuchfundamentalsolutions.Thefour-directionalboxsplineswillbeusedasanillustrativeexample.

简介：在这份报纸，作者计算同类的Grushin泛音函数的空格的尺寸，并且给他们的一个直角的基础。而且，作者描述这些同质的Grushin泛音基础的节的曲线。作为直角的基础的一个应用程序，作者为Grushin操作符证明一条Liouville类型定理，那是Grushin泛音函数如果如此的一个函数的频率等于某常数，是同类的多项式。

简介：WediscussseparabilityofsolutionstoaSchr?dingerequationthatdescribesacompositequantumsystemandgivesomekindsofHamiltoniansH(t)suchthatthesolutiontoSchr?dingerequationinducedbyH(t)isseparableatanytimeprovidedthatitisseparableatt=0.Forexample,weprovethatiftheHamiltonianHistime-independentandequalstotheproductPA■PBoftwoprojectionsonthesubsystemsKAandKB,respectively,thenthestate|ψ(t)ofthecompositesystemstartingfromaseparableinitial|ψ(0)=|ψA■|ψBisseparableforallt∈[0,T]ifandonlyifeither|ψAisaneigenstateofPA,or|ψBisaneigenstateofPB.

简介：Byconsideringthepropertiesoff(t,u,v)/u+v,g(t,u,v)/u+v,weshovthemultiplicityofatleasttwopositivesolutionsoftheellipticsystem.

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简介：Inthispaper,usingsometechniques,weprovethatthereexiststheregularhomoclinicpointforTaylormappingwith4

简介：Inthispaper,thediscrete-timeneuralnetworkmodeloftwoneuronswithpiecewiseconstantargumentisconsidered.Somesufficientconditionsunderwhicheverysolutioniseitherperiodicorconvergentareobtained.

简介：多功能的organolithium开始者在环己烷溶剂被准备。这进程以在批把丁二烯的环己烷解决方案加到萘锂与重复单位的48丁二烯生产丁二烯oligomerdilithium开始了。在首先喂，环己烷和丁二烯环己烷答案的最小的集中装载的最大值必须在V环己烷1.33VTHF和40.6cN下面被控制。然后，SnCl4被增加，最后，包含Sn原子的多功能的organolithium开始者通过联合反应被综合。实验结果证明在批增加环己烷答案在克服一些困难是有效的，例如在环己烷的萘锂的不溶解性，在开始丁二烯的萘锂的低效率。在实践，苯能被环己烷完全代替，它不能仅仅从苯减少环境污染，而且克服在苯和环己烷之间的类似的沸腾的点引起的溶剂恢复的困难。与作为开始者，有更好的橡胶的硬化表演的塑造星的答案polymerized苯乙烯丁二烯橡胶(星S-SBR)，更低的滚动抵抗和更高的湿打滑包含Sn原子的多功能的organolithium准备了抵抗被获得。

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简介：TheauthorobtainstheexistenceofthelocalandglobalsolutionforaclassofsemilinearevolutionequationsinaHilbertspcae,andusestheresultstoprovetheexistenceofthesolutionforsemilinearparabolicpartialdifferentialequationsinR~n.

简介：InthispaperwestudythesolutionsandstabilityofthegeneralizedWilson’sfunctionalequation∫_Gf(xty)dμ(t)+∫_Gf(xtσ(y))dμ(t)=2f(x)g(y),x,y∈G,whereGisalocallycompactgroup,σisacontinuousinvolutionofGandμisanidempotentcomplexmeasurewithcompactsupportandwhichisσ-invariant.Weshowthat∫_Gg(xty)dμ(t)+∫_Gg(xtσ(y))dμ(t)=2g(x)g(y)iff≠0and∫_Gf(t.)dμ(t)≠0,where[∫_Gf(t.)dμ(t)](x)=∫_Gf(tx)dμ(t).WealsostudysomestabilitytheoremsofthatequationandweestablishthestabilityonnoncommutativegroupsoftheclassicalWilson’sfunctionalequationf(xy)+χ(y)f(xσ(y))=2f(x)g(y)x,y∈G,whereχisaunitarycharacterofG.

简介：Inthispaper,wediscussasimplifiedmodelofmitosisinfrogeggsproposedbyM.T.BorisukandJ.J.Tysonin[1].Byusingrigorousqualitativeanalysis,weprovetheexistenceoftheperiodicsolutionsonalargescaleandpresentthespaceregionoftheperiodicsolutionsandtheparameterregioncorespondingtotheperiodicsolution.Wealsopresentthespaceregionandtheparameterregionwheretherearenoperiodicsolutions.Theresultsareinaccordancewiththenumericalresultsin[1]uptothequalitativeproperty.

简介：BymeansoftheHermitianmetricandChernconnection,Qiu[4]obtainedtheKoppelman-Leray-Norguetformulafor(p,q)differentialformsonanopensetwithC~1piecewisesmoothboundaryonaSteinmanifold,andundersuitableconditionsgavethesolutionsof■-equationonaSteinmanifold.Inthisarticle,usingthemethodofRangeandSiu[5],undersuitableconditions,theauthorscomplicatedlycalculatetogivetheuniformestimatesofsolutionsof■-equationfor(p,q)differentialformsonaSteinmanifold.

简介：Thispapergivesfourpairsofentropies(η_i,q_i)(i=1,2,3,4)totheisentropicgasdynamicsequationsρ_t+(ρu)_x=0(ρu)_t+(ρu~2+p(ρ))_x=0p(ρ)=k~2ρ~γ,1<γ<3。whenallthefunctionequationsaresatisfied