简介：<正>Givenanypositiveintegersk3andλ,letc（k,λ）denotethesmallestintegersuchthatu∈B（k,λ）foreveryintegeruc（k,λ）thatsatisfiesthecongruencesλv（v-1）≡0（modk（k-1））andλ（u-1）≡0（modk-1）.Inthisarticlewemakeanimprovementontheboundofc（k,λ）providedbyChangin[4]andprovethatc（k,λ）exp{k3k6}.Inparticular,c（k,1）exp{kk2}.

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简介：AHamiltoniank-factorisak-factorcontainingaHamiltoniancycle.Ann/2-criticalgraphGisasimplegraphofordernwhichsatisfiesδ(G)≥n/2andδ(G-e)

简介：Fortheimageofasmoothsurfaceobjectfullycontainedwithinthefieldofviewandilluminatedinandarbitrarydirection,thispaperdiscussestheexistenceanduniquenessotheconditionsforsolvingashape-from-shadingproblemundertheconditionsthattheFourierseriesexpansionoftheimageintensitycontainsonlyzeroandfirstordertermsinapolarcoordinatesystem.Threetheoremsareestablished,onefortheexistenceandtwofortheuniquenessofz-axissymmetricshapefromshading.

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

简介：GivinganonisotropicplasticityproblemonaSobolevSpace,theauthortriestorelaxittoanewproblemwhiohisposedonasubsetofBD(Ω).Itisprovedthatthisrelaxationdoesnotchangetheequilibriumenergyandthatthesolutionsexistinsuchsettingsundernottoorestrictedconditions.

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简介：TheauthorobtainstheexistenceofthelocalandglobalsolutionforaclassofsemilinearevolutionequationsinaHilbertspcae,andusestheresultstoprovetheexistenceofthesolutionforsemilinearparabolicpartialdifferentialequationsinR~n.

简介：为L~的极大元的一条存在定理*在non-paracompactH空间上定义的-majorized通讯被建立。作为结果的应用程序，为non-paracompact的一条平衡存在定理在H空间概括了游戏与无穷地许多播放器并且与L~*-majorized通讯被给。

简介：Inthispaper,itisobtainedthataperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlystablewithrespecttoΩ_,andhasaperiodicsolutionifx=(t)isweaklyuniformlyasymptoticallystablewithrespecttoΩ_.Meanwhile,itisalsoobtainedthatauniformlyalmostperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlyasymptoticallystablewithrespecttoA_~f

简介：InthispaperweobtaintheexistenceofthegeneralizedsolutionstotheCauchyproblemforamodelofcombustionprovidedthatthefunctionfisofnonconvexityandinitialvalueslieinthebounded,measurableclass.

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简介：Thepurposeofthispaperistoprovetheuniformstabilityofmultidimensionalsubsonicphasetransitionssatisfyingtheviscosity-capillaritycriterioninavanderWaalsfluid,andfurthertoestablishthelocalexistenceofphasetransitionsolutions.

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简介：这篇论文学习差别方程Δx(n)=的非自治的非线性的系统(n)x(n)+f(n，x(n))，n∈Z，(*)在哪儿x(n)∈R~N，(n)=(a_(ij)(n))_(NxN)是一个NxN矩阵，与a_(ij)∈C(R，R)为i，j=1,2,3，...，N，和f=(f_1，f_2，...，f_N)~T∈C(RxR~N，R~N)，令人满意的A(t+ω)=A(t)，f(t+ω，z)=f(t，z)为任何t∈R，(t，z)∈RxR~N和ωis一个积极整数。为ω-的存在的足够的条件方程(*)的周期的答案被获得。

简介：Inthispapertheexistenceanduniquenessofthesolutionofimplicithybridmethods(IHMs)forsolvingtheinitialvalueproblems(IVPs)ofstiffordinarydifferentialequations(ODEs)isconsidered.Weprovidethecoefficientconditionanditsjudgingcriterionaswellastherighthandconditiontoensuretheexistingsolutionuniquely.

简介：Inthispaper,weconsiderthefollowinginitialproblemofsemilinearStokesequationswiththeexistenceofglobalsolutionsobtained

简介：Inthispaper,nonnegativesolutionsforthedegenerateellipticsystemsareconsidered.First,nonnegativesolutionsforscalarequationwithspatialdiscontinuitiesarestudied.Thenthemethoddevelopedforscalarequationisappliedtostudyellipticsystems.Atlast,theexistencecriteriaofnonnegativesolutionsofellipticsystemsaregiven.

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