简介:§0.IntroductionOriginally,thedefinitionofexpansivehomeomorphismwasproposedin[9]asaconceptintopologicaldynamics.Sincethen,ithasbeeninvolvedinsomeimportanttopicsindifferentiatedynamics.Forinstance,thewell-knownAnosovdiffeomorphismandtherestrictionofSmale’shorseshoemaponitsfl-setaretypicalexamplesofexpansivehomeomorphisms.Thisconcepthasalsobeenapplied,forexample,inergodictheory110-1andthetheoryofstructuralstability1-43.Inthemathematicaldescriptionofthestrangeattractorgcs:i,expansivenessisoneofthe
简介:ThispaperstudiestheasymptoticpropertiesoftherandomiterationsofboththeformGn=f1of2o……ofnandtheformFn=fnofn-1o…of1,where{fn}(包含于)H(Ω,Ω)andΩ(包含于)C^Nisahoundeddomain.Itisfoundthat,undersomeconditions.GnorFntendstoapointinΩasn→∞.Someexamplesarealsogiventoshowthattheconditionsthatwehavegivencannotbedroppedingeneral,Moreover,acompletedescriptionisgivenforFnorGntotendtoapointinΩundertheconditionfn→f.
简介:Letp(z)=beapolynomialdegreenandletThenaccord-ingtoBernstein’sinequality||p’||<n||p||.ItisawellknownopenproblemtoobtaininequalityanalogoustoBernstein’sinequalityfortheclassIInofpolynomialssatisfyingp(z)≡znp(1/z)HereweobtainaninequalityanalogoustoBernstein’sinequalityforasubclassofIInOurresultsincludeseveraloftheknownresultsasspecialcases.
简介:Abstract.Inthispaper,weintroduceanewapproachtocharacterizetheisomor-phismsofcirculantdigraphs.Intermsofthismethod,wecompletelydeterminetheisomorphicclassesofcirculantdigraphsofdegree3.Inpsrticular,wecharacterizethosecirculantdigraphsofdegree3whichdon''tsatisfyJkdAm''sconjectttre.
简介:让f:M→R~3是有非退化的秒的面向的表面基本形式。我们由H和K表示它的吝啬的弯曲和高斯弯曲。然后f的Laguerre体积,由L(f)=∫(H~2定义-K)/KdM,一在Laguerre转变下面不变。功能的L的批评表面被称为Laguerre最小的表面。在这篇论文,我们学习在由使用拉久雷·高斯的R~3的最小的表面印射的theLaguerre。这被知道最小的表面有的genericLaguerre有一样的高斯地图的双Laguerre最小的表面。在这篇论文,我们证明不是Laguerre的任何表面最小被它的LaguerreGaussmap特别地决定。我们也证明圆范围是在R~3的唯一的紧缩的Laguerre最小的表面。并且我们与消失的Laguerre形式在R~3给表面的一条分类定理。
简介:Inthispaper,weprovethatifGisaplanegraphwithout4-,5-and7-circuitsandwithoutintersectingtriangles,thenforeachfacefofdegreeatmost11,any3-coloringoftheboundaryoffcanbeextendedtoG.ThisgivesapositivesupporttoaconjectureofBorodinandRaspaudwhichclaimsthateachplanegraphwithout5-circuitsandintersectingtrianglesis3-colorable.
简介:InthispaperwedevelopakindofdissipativediscreteschemeforthecomputationofhomoclinicorbitsnearTB-pointinHamiltoniansystems.Itisprovedbyusingcontinuationmethodthatwhenthedissipativetermanditscoefficientaresuitablychosen,thisschemepossessesdiscretehomoclinicorbits,whichapproximatethecontinuoushomoclinicorbitswithsecondorderaccuracyw.r.totime-stepsize.
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。