简介：在这篇论文，有散开的非线性的食肉动物繁殖和猎物比赛模型被讨论。有关非经常的积极steady-states的一些存在和不存在结果分别地用拓扑的度争论和精力方法被介绍。

简介：Abstract.Inthispaper,itisshownthatforeverymaximalplanargraph

简介：在这篇论文，non-quasi-Newton“有用于非强迫的优化问题的不精确的线搜索的s家庭被学习。为non-quasi-Newton的一个新更改公式“sfamily被建议。如果，有任何一个Wolfe类型orArmijo类型线搜索的组成的算法全球性并且Q-superlinearly收敛，这被证明要最小化的功能hasLipschitz连续坡度。

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简介：Wedealwithavariationalinequalitydescribingthemotionofincompressiblefluids,whoseviscousstresstensorsbelongtothesubdifferentialofafunctionalatthepointgivenbythesymmetricpartofthevelocitygradient,withanonlocalfrictionconditiononapartoftheboundaryobtainedbyageneralizedmollificationofthestresses.Weestablishanexistenceresultofasolutiontothenonlocalfrictionproblemforthisclassofnon-Newtonianflows.TheresultisbasedontheFaedo-GalerkinandMoreau-Yosidamethods,thedualitytheoryofconvexanalysisandtheTychonov-Kakutani-Clicksbergfixedpointtheoremformulti-valuedmappingsinanappropriatefunctionalspaceframework.

简介：AnintrinsicHarnackestimateandsomesup-estimatesareestablishedfornonnegativeweaksolutionsofequationsofnon-Newtonianpolytropicfiltrationut-div(｜Dum｜p-2Dum)=0,m(p-1)＜1,m＞0,p＞1.

简介：ThepressurelessNavier-Stokesequationsfornon-Newtonianfluidarestudied.Theanalyticalsolutionswitharbitrarytimeblowup,inradialsymmetry,areconstructedinthispaper.WiththepreviousresultsfortheanalyticalblowupsolutionsoftheN-dimensional(N≥2)Navier-Stokesequations,weextendthesimilarstructuretoconstructananalyticalfamilyofsolutionsforthepressurelessNavier-Stokesequationswithanormalviscosityterm▽·(μ(ρ)|▽u|α▽u).

简介：ＡＳＵＦＦＩＣＩＥＮＴＣＯＮＤＩＴＩＯＮＦＯＲＮＯＮ－ＣＯＥＸＩＳＴＥＮＣＥＯＦＯＮＥＤＩＭＥＮＳＩＯＮＡＬＭＵＬＴＩＣＯＬＯＲＣＯＮＴＡＣＴＰＲＯＣＥＳＳＥＳＬＩＵＸＩＵＦＡＮＧ（刘秀芳）ＷＡＮＧＪＵＮ（王军）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍ...

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简介：Non-uniformalgebraic-trigonometricB-splinessharesmostofthepropertiesasthoseoftheusualpolynomialB-splines.Buttheyarenotorthogonal.Weconstructanorthogonalbasisforthen-order(n≥3)algebraic-trigonometricsplinespaceinordertoresolvethetheoreticalproblemthatthereisnotanexplicitorthogonalbasisinthespacebynow.MotivatedbytheLegendrepolynomials,wepresentanovelapproachtodefineasetofauxiliaryfunctions,whichhavesimpleandexplicitexpressions.Thentheproposedorthogonalsplinesaregivenasthederivativesoftheseauxiliaryfunctions.

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简介：在这份报纸，作者在与Gaussian领域的协变性功能有关的一些温和条件下面为非静止的Gaussian随机的领域的最大值证明一条几乎肯定的限制定理。作为副产品，作者也获得扩大了存在结果的几弱集中结果。

简介：<正>Inthispaperweconsiderasemi-dicretizednonlinearSchrdinger(NLS)equationwithlocalintegralnonlinearity.Itisprovedthatforeachmeshsize,thereexistattractorsforthediscretizedsystem.TheboundstortheHausdorffandfractaldimensionsofthediscreteattractorsareobtained,andthevariousboundsareindependentofthemeshsizes.Furthermore.numericalexperimentsaregivenandmanyinterestingphenomenaareobservedsuchaslimitcycles,chaoticattractorsandaso-calledcrisisofthechaoticattractors.

简介：<正>Inthispaper,wediscussthevariationalproblemsofstronglyquasiconvexfunctionalswithboundaryintegralsandthenon-Dirichletproblemsofquasilineardegenemteellipticequations.Wehaveestablishedthesolvabilitytheoremsofthevariationalproblemsandthenon-Dirichletproblems.

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简介：Afewweakandstrongconvergencetheoremsofthemodifiedthree-stepiterativesequencewitherrorsandthemodifiedIshikawaiterativesequencewitherrorsforasymptoticallynon-expansivemappingsinanynon-emptyclosedconvexsubsetsofuniformlyconvexBanachspacesareestablished.TheresultspresentedinthispapersubstantiallyextendtheresultsduetoChang(2001),Osilikeandhniagbosor(2000),Rhoades(1994)andSchu(1991).

简介：Inthispaper,thebehaviorforcommutatorsofaclassofbilinearsingularintegraloperatorsassociatedwithnon-smoothkernelsontheproductofweightedLebesguespacesisconsidered.BysomenewmaximalfunctionstocontrolthecommutatorsofbilinearsingularintegraloperatorsandCMO(Rn)functions,compactnessforthecommutatorsisproved.

简介：Inthisarticle,wewillinvestigatethepropertiesofiterativesequencefornon-expansivemappingsandpresentseveralstrongandweakconvergenceresultsofsuccessiveapproximationstofixedpointsofnon-expansivemappingsinuniformlyconvexBanachspaces.Theresultspresentedinthisarticlegeneralizeandimprovevariousonesconcernedwithconstructivetechniquesforthefixedpointsofnon-expansivemappings.

简介：Inthisarticle,byusingtheoryoflinearevolutionsystemandSchauderfixedpointtheorem,weestablishasufficientresultofexactnullcontrollabilityforanonautonomousfunctionalevolutionsystemwithnonlocalconditions.Inparticular,thecompactnesscondi-tionorLipschitzconditionforthefunctionginthenonlocalconditionsappearinginvariousliteraturesisnotrequiredhere.Anexampleisalsoprovidedtoshowanapplicationoftheobtainedresult.

简介：Inthisarticle,weobtaintheL~p-boundednessofcommutatorsofLipschitzfunctionsandsingularintegralswithnon-smoothkernelsonEuclideanspaces.