简介：

简介：E.Zeidlerin[10]mentionsthattransversalityiscertainlyoneofthemostimportantconceptsofmodernmathematics,whichprovidedananswertothequestion:whenisthepreimageofamanifoldamanifold.Thisisthecelebratedtransversalitytheorem,whichhasbeenappliedwidelytodifferentialtopologyanddynamicsystemin[1,2]and[3].

简介：有零顺序驱散的Hirota方程的答案的长时间行为被学习。为在H的这个系统的全球弱引起注意的人每[k]被构造。然后由精力方程的准确分析，全球弱引起注意的人实际上是在H的全球强壮的引起注意的人每，这被显示出[k]。

简介：Inthispaper,westudytheperturbationofcertainofcubicsystem.Byusingthemethodofmulti-parameterperturbationtheoryandqualitativeanalysis,weinferthatthesystemunderconsiderationcanhavefivelimitcycles.

简介：AnexcellentintroductiontothetopicofposetmatroidsisduetoBarnabei,NicolettiandPezzoli.Inthispaper,weinvestigatetherankaxiomsforposetmatroids;therebywecancharacterizeposetmatroidsina“global”versionanda“pseudo-global”version.Somecorrespondingpropertiesofcombinatorialschemesarealsoobtained.

简介：Inordertosolvetheconstrainedglobaloptimizationproblem,weusepenaltyfunctionsnotonlyonconstraintsbutalsoonobjectivefunction.Thenwithintheframeworkofintervalanalysis,anintervalBranch-and-Boundalgorithmisgiven,whichdoesnotneedtosolveasequenceofunconstrainedproblems.Globalconvergenceisproved.Numericalexamplesshowthatthisalgorithmisefficient.

简介：Inthispaper,asemilinearelliptic-parabolicPDEsystemwhicharisesinatwodimensionalgroundwaterflowproblemisstudied.ExistenceanduniquenessresultsareestablishedviatheL^p-L^qaprioriestimatesandtheinversefunctiontheorem.

简介：Extendingtheresultsof[4]intheunivariatecase,inthispaperweprovethatthebivariateinterpolationpolynomialsofHermite-FejerbasedontheChebyshevnodesofthefirstkind,thoseofLagrangebasedontheChebyshevnodesofsecondkindand±1,andthoseofbivariateShepardoperators,havethepropertyofpartialpreservationofglobalsmoothness,withrespecttovariousbivariatemoduliofcontinuity.

简介：Anewsmoothingmethodisproposed.Thesmoothingprocessadaptstoimagecharacteristicsandisgoodatpreservinglocalimagestructures.Moreimportantly,inthetheoryundertheconditionsweakerthanthoseintheoriginalKacanovmethodanapproximalsequenceofsolutionstothevariationalproblemscanbeconstructedandtheglobalconvergencecanbeproved.AndtheconditionsinthepapersofSchn6rr(1994)andHeers,etal(2001)arediscussed.Numericalsolutionsofthemodelaregiven.

简介：Abstract.Basedontheliterature

简介：Abstract.Inthepresentpaper,wedealwiththelong-timebehaviorofdissipativepartialdifferenttialequations,andweconstructtheapproximateinertialmardfoldsforthenonlbaearStringerequationwithazeroorderdlssipation.Theorderofapproximationofthesemanlfoldetotheglobalattractorisderived.

简介：Inthispaper,weconsiderthefollowinginitialproblemofsemilinearStokesequationswiththeexistenceofglobalsolutionsobtained

简介：Thispaperstudiestheglobalattractivityofthepositiveequilibrium1ofthedelaylogisticdifferenceequation△yn=pnyn(1-yr(n)),n=0,1,2,……,(*)where{Pn}isasequenceofpositiverealmumbers,{τ(n)}isanondecreasingsequenceofintegers,τ(n)

简介：让f在局部性的非各向同性的Sobolev空间W_(loc)~(1，p)(H~n)在n维的海森堡组H~n=C~nxR，在此1≤p<2是的Q和Q=2n+H~n的同类的尺寸。假定椭圆形的坡度是的潜水艇gloabllyL~pintegrable，即，f_(H~n)|▽_(H~n)f|~pdu是有限的。我们在全部spaceH~n上为f证明Poincare是不平等。用我们证明的这不平等，减去某个常数的功能f在thenonisotropicSobolev空间，这在标准下面由C_0~∞(H~n)的结束形成了(∫_(H~n)|f|~((Q_p)/(Q-p)))~((Q-P)/(Q_p))(∫_(H~n)|▽_(H~n)f|~p)~(1/p)。我们将也证明为H~n上的如此的Poincare不平等的最好的常数和extremals与为H~n上的Sobolevinequalities的那些一样。用到L~(2Q)/(Q-2)的锋利的常数和extremalsforL~2上的Jerison和李的结果海森堡组上的Sobolev不平等，我们因此在H~n上为上述的Poincare不平等到达明确的最好的常数什么时候p=2。我们也在HeisenberggroupH~n上在公制的球上为本地Poincare不平等导出最好的常数的更低的界限。

简介：ConsiderthediscreteLasota-WazewskamodelNn+1-Nn=-μNn+pe^-rNn-k,n=0,1,2,……whereμ∈(0,1),r,p∈(0,∞)andk∈N.Asufficientconditionforallpositivesolutionsof(*)tobeattractedtoitsequilibriumN^*isobtained.ItimprovescorrespondentresultobtainedbyChenandYuin1999.

简介：这篇论文与变化时间的延期涉及神经网络的稳定性。在假设下面非线性刺激函数是Lipschitz连续借助于概括Halanay不平等，Dini是衍生物和功能的分析技术，几个全球性指数的稳定性标准被建立，它仅仅依赖于系统的参数。

简介：Inthispaperweconsidertheglobalconvergenceofanyconjugategradientmethodoftheformd1=-g1,dk+1=-gk+1+βkdk(k≥1)withanyβksatisfyingsumeconditions,andwiththestrongwolfelinesearchconditions.Undertheconvexassumptionontheobjectivefunction,weprevethedescenfpropertyandtheglobalconvergenceofthismethod.

简介：InthisPaperwecontinuetoinvestigateglobalminimizationproblems.Anintegralapproachisappliedtotreataglobalminimizationproblemofadiscontinuousfunction.Withthehelpofthetheoryofmeasure(Q-measure)andintegration,optimalityconditionsofarobustfunctionoverarobustsetarederived.Algorithmsandtheirimplementationsforfindingglobalminimaareproposed.Numericaltestsandapplicationsshowthatthealgorithmsareeffective.

简介：Thispaperisconcernedwiththeglobalexistenceanduniformboundednessofsolutionsfortwoclassesofchemotaxismodelsintwoorthreedimensionalspaces.Firstly,byusingdetailedenergyestimates,specialinterpolationrelationanduniformGronwallinequality,weprovetheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithlinearchemotactic-sensitivitytermsandlogisticreactionterms.Secondly,byapplyingdetailedanalyticsemigroupestimatesandspecialiterationtechniques,weobtaintheglobalexistenceofuniformlyboundedsolutionsforaclassofchemotacticsystemswithnonlinearchemotacticsensitivityterms,whichextendstheglobalexistenceresultsof[6]toothergeneralcases.

简介：Aphysiologicalmodelwithdelayisconsidered.Thetimedelaybeingregardedasaparameter,agroupofconditionsthatguaranteethemodelhavemultipleperiodicsolutionsisobtainedbytheglobalHopfbifurcationtheoremforFDEandBendixson’scriterionforhigh-dimensionalODE.Theresultsareillustratedbysomenumericalsimulations.