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  • 简介:InthispaperthegeneralizedBianchi’sidentitiesforthevariantconstrainedsystem(GBIVOS)withnon-invariantactionintegralandconstraintconditionswasderived,andthestrongandweakconservationlawsforsuchsystemwasdeduced.ThepreliminaryapplicationsoftheGBIVCStothecaseforsomemodelsoffieldtheorieswasgiven.TheDiracconstraintofsuchsystemwasdiscussed.

  • 标签: INVARIANT constraint constrained deduced preliminary DIRAC
  • 简介:<正>ItisprovedthateverylargeintegerN≡5(mod24)canbewrittenasN=p12+…+p52witheachprimepjsatisfying|pJ-(N/5|)1/2≤N11/23.ThisgivesashortintervalversionofHua’stheoremonthequadraticWaring-Goldbachproblem

  • 标签: Waring-Goldbach PROBLEM Hua’s THEOREM PRIME Circle
  • 简介:在g上的Lipschitz假设和方形的integrable假设下面,如果并且仅当g独立于y,作者证明Jensen的不平等为向后的随机的微分方程赞成发电机g,g(t,0)≡0并且g是超级的关于z同类。这结果为g期望在Jensen的不平等上概括已知的结果在[4,7-9]。

  • 标签: 向后随机微分方程 g期望 JENSEN不等式 BSDES
  • 简介:Ekeland’svariationalprincipleisafundamentaltheoreminnonconvesanalysis.Itsgeneralstatementisasthefollowing:Ekeland’sVariationalPrinciple'’a:.LetVbeacompletemetricspace,andF:F—*-RU{+°°}alowersemicontinuousfunction,notidentically+00andboundedfrom,below.Lets>0begiven,andapointu^VsuchthatF(u)

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  • 简介:Inthisarticle,westudytheexplicitexpressionsoftheconstantsintheerrorestimateofthenonconformingfiniteelementmethod.WeexplicitlyobtaintheapproximationerrorestimateandtheconsistencyerrorestimatefortheWilson'selementwithouttheregularassumption,respectively,whichimpliesthefinalfiniteelementerrorestimate.Suchexplicitapriorierrorestimatescanbeusedascomputableerrorbounds.

  • 标签: 先验误差估计 WILSON 元素 非协调 有限元方法 威尔逊
  • 简介:SomenewreflectionprinciplesforMaxwell'sequationsarefirstestablished,whicharethenappliedtoderivetwonovelidentifiabilityresultsininverseelectromagneticobstaclescatteringproblemswithpolyhedralscatterers.

  • 标签: 麦克斯韦方程组 应用 散射问题 多面体
  • 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。

  • 标签: 曲线 曲率 挠率 基本向量
  • 简介:Theobjectiveofthispaperistointroduceelementarydiscretereflectedbackwardequationsandtogiveasimplemethodtodiscretizeintimea(continuous)reflectedbackwardequation.Apresentationofnumericalsimulationsisalsodescribed.

  • 标签: 反射方程 逆向方程 弱收敛 离散化
  • 简介:ThispaperdealswiththeexistenceandmultiplicityofperiodicsolutionsofDuffingequationsx+g(x)=p(t),TheauthorprovesaninfinityofperiodicsolutionstotheperiodicallyforcednonlinearDuffingequationsprovidedthatg(z)satisfiesthegloballylipschitzianconditionandthetime-mappingsatisfiestheweakeroscillatingproperty.

  • 标签: 周期解 重数 达芬方程 利普希茨条件