简介：Inthispaperusinganargumentfrom[1],weproveoneoftheprobabilisticversionofHardy'sinequality.

简介：已知曲线Γ：r=r（s）的基本向量α、β、γ且曲率和挠率分别为κ、τ，本文研究了由α、β和γ所作出的曲线Γ：ρ=r＋αa＋b∫s0^sβds的曲率κ和挠率τ的计算问题。

简介：Theobjectiveofthispaperistointroduceelementarydiscretereflectedbackwardequationsandtogiveasimplemethodtodiscretizeintimea(continuous)reflectedbackwardequation.Apresentationofnumericalsimulationsisalsodescribed.

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简介：ThispaperdealswiththeexistenceandmultiplicityofperiodicsolutionsofDuffingequationsx+g(x)=p(t),TheauthorprovesaninfinityofperiodicsolutionstotheperiodicallyforcednonlinearDuffingequationsprovidedthatg(z)satisfiesthegloballylipschitzianconditionandthetime-mappingsatisfiestheweakeroscillatingproperty.

简介：Let{Xn,n≥1}beasequenceofα-stablerandomvariables(0

简介：Inthispaper,therigiditytheoremsofthesubmanifoldsinS^n+pwithparallelMoebiusformandconstantMObiusscalarcurvaturearegiven.

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简介：在这份报纸，我们学习(伪，分级的旗帜弯曲在上的尾)度量标准一歧管尺寸n的M(n鈮?3)。建议那一(伪，尾)度量标准F不是Randers类型的一个Finsler度量标准，也就是说F鈮吗？+k3尾k1>0，k2并且k3是M上的分级的功能。如果并且仅当，我们证明F具有分级的旗帜弯曲并且消失的S弯曲旗帜弯曲K=0并且F是一个Berwald度量标准。在这种情况中，F是一局部地Minkowski度量标准。关键词Finsler度量标准-(伪，尾)度量标准-旗帜弯曲-S弯曲-Minkowski公制的先生(2000)题目分类53B40-53C60由中国(资助号码10971239)的国家自然科学基础支持了

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简介：本文，首先在Ｖ．Ｖ．Ｓｔｅｐａｎｏｖ空间连续模概念，在此空间内讨论概周期函数的Ｆｏｕｒｉｅｒ系数与连续模之间的关系。

简介：Byusingsequentiallylowercompletespaces(see[Zhu,J.,Wei,L.,Zhu,C.C.:Caristitypecoincidencepointtheoremintopologicalspaces.J.AppliedMath.,2013,ID902692(2013)]),wegiveanewversionofvectorialEkeland’svariationalprinciple.Inthenewversion,theobjectivefunctionisdefinedonasequentiallylowercompletespaceandtakingvaluesinaquasi-orderedlocallyconvexspace,andtheperturbationconsistsofaweaklycountablycompactsetandanon-negativefunctionpwhichonlyneedstosatisfyp(x,y)=0iffx=y.Here,thefunctionpneednotsatisfythesubadditivity.FromthenewEkeland’sprinciple,wededuceavectorialCaristi’sfixedpointtheoremandavectorialTakahashi’snon-convexminimizationtheorem.Moreover,weshowthattheabovethreetheoremsareequivalenttoeachother.Byconsideringsomeparticularcases,weobtainanumberofcorollaries,whichincludesomeinterestingversionsoffixedpointtheorem.

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简介：LetEbeacompacts-setsofR^n,TheauthorsdefineanorthonormalsystemФoffunctionsonEandobtainthat,foranyf(x)∈L^l(E1H^8),theFourierseriesoff1withrespecttoФ,isequaltof(x)atH^8-a.e-x∈E.Moreover,foranyf∈L^p(E,H^8)(p≥1),thepartialsumsoftheFourierseries,withrespecttoФ,offconvergestofinL^P-norm.

简介：本文得到几个关于多变量Hp空间中函数Fourier系数的不等式.与单变量相应情形相比,我们的证明方法有较大的变化.

简介：WepressentnewKyFantypebestapproximationtheoremsforadiscontinuousmultivaluedmaponmetrizabletopologicalvectorspacesandhyperconvexspaces.Inaddition,fixedpointresultsarederivedforthemapstudied.Ourworkgeneralizesseverlresultsinapproximationtheory.

简介：ThenonconformingWilson’sbrickclassicallyisrestrictedtoregularhexahedralmeshes.LesaintandZlamal[6]relaxedthisconstraintforthetwo-dimensionalanalonueofthiselementInthispaperweextendtheirresultstothreedimensionsandprovethatandwhereuistheexactsolution,u_histheapproximatesolutionandistheusualnormfortheSobolevspaceH~1(?).

简介：ThispapergivesatutorialonhowtoproveLyapunovtypecriteriabyoptimalcontrolmethods.Firstly,weconsiderstabilitycriteriaonHill'sequationswithnonnegativepotential.Byoptimalcontrolmethodsdevelopedin1990s,weobtainseveralstabilitycriteriaincludingLyapunov'scriterion,Ne..gauzandLidski'scriterion.Secondly,wepresentstabilitycriteriaonHill'sequationswithsign-changingpotentialinwhichBrog'scriterionandKrein'scriterionareincluded.