简介：Inthisarticle,westudytheproblemsofBorel'sdirectionsofmeromorphicfunc-tionsconcerningsharedvaluesandprovethatiftwomeromorphicfunctionsofinfiniteordersharethreedistinctvalues,theirBorel'sdirectionsaresame.

简介：Letl1,l2,…,lgbeevenintegersandxbeasufficientlylargenumber.Inthispaper,theauthorsprovethatthenumberofpositiveoddintegersk≤xsuchthat（k+l1）2,（k+l2）2,…,（k+lg）2cannotbeexpressedas2n+pαisatleastc（g）x,wherepisanoddprimeandtheconstantc（g）dependsonlyong.

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

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简介：TheauthorsconsiderthescatteringphenomenaofthedefocusingH~s-criticalNLS.ItisshownthatifasolutionofthedefocusingNLSremainsboundedinthecriticalhomogeneousSobolevnormonitsmaximalintervalofexistence,thenthesolutionisglobalandscatters.

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简介：Westudyboundaryvalueproblemsforfractionalintegro-differentialequationsinvolvingCaputoderivativeoforderα∈(n-1,n)inBanachspaces.ExistenceanduniquenessresultsofsolutionsareestablishedbyvirtueoftheHolder'sinequality,asuitablesingularGronwall'sinequalityandfixedpointtheoremviaaprioriestimatemethod.Atlast,examplesaregiventoillustratetheresults.