简介：引入了L-空间和L-空间上的KKM类映射，建立了关于该类映射的一些不动点定理，其中包括Schauder型和Fan-Browder型不动点定理．得到了L-空间中的KyFan匹配定理和叠合点定理．

简介：建立了转移开覆盖的一个新的KyFan型匹配定理．作为应用，获得了Fan-Browder重合定理，不动点定理、极大元定理，相交定理和截口定理．

简介：在非紧L-凸空间中建立了一个新的GLKKM定理。作为应用,获得了带上下界的广义平衡问题的解的存在定理.

简介：章士藻，江苏省盐城师范学院教授，1940年出生于江苏省海安县，1962年毕业于江苏师范学院（现苏州大学）数学系，先后任职过中学教师，地县教研员与兼职编辑．从1978年起，进入盐城师专（1998年升格为盐城师范学院）工作，是上世纪八、

简介：InthispaperL^p-L^qestimatesforthesolutionu(x,t)tothefollowingperturbedhigh-erorderhyperbolicequationareconsidered,(ρπ--a△)(ρπ--b△)u+V(x)u=O,x∈R^n,n≥6,ρ1eu(x,O)=O,ρ^3eu(x,O)=f(x),(j=O,1,2).WeassumethattheotentialV(x)andtheinitialdataf(x)arecompactlysupported,andV(x)issufficientlysmall,thenthesolutionu(x,t)oftheaboveproblemsatisfiesthesameL^p-L^qestimatesasthatoftheunperturbedproblem.

简介：<正>InthispaperitisprovedthatforallcompletelydistributivelatticesL.thecategoryofL-fuzzifyingtopologicalspacescanbewmbeddedinthecategoryofL-topologicalspaces(stratifiedChang-Goguenspaces)asasimultaneouslybireflectiveandbicoreflectivefullsubcategory.

简介：《数学之友》分两期先后刊登了《章士藻数学教育思想初探》[1]和《章士藻数学教育思想渊源及其时代意义》[2]两篇文章.透过这两篇文章,我们了解到章士藻先生的成长历程、主要数学教育思想及其产生的背景等,能够从中真切地感悟到章先生“既是研究者又是实践者”,“他是20世纪最后30年中数学教育界一位具有代表性的人物.”[3]章先生的的数学教育思想十分丰富,深入探讨章先生的这些教育思想对指导基层数学教师开展教学研究活动,特别是农村中小学数学教学与研究活动,具有十分重要的理论价值和实践意义.本文拟对章先生的数学学习观作更进一步的探讨.

简介：TwocharacterizationtheoremsofcontinuousL-domainaregiven.ThenaproblemraisedbyJ.D.LawsonandM.Misloveissolved.

简介：Weconsiderforafixedμ,theclassofpolynomialsPn,μ,s:=P(z)=zsanzn-s+n-s∑j=μan-jzn-j-s;1≤μ≤n-sofdegreen,havingallzerosin|z|≤k,k≤1,withs-foldzerosattheorigin.Inthispaper,wehaveobtainedinequalitiesinthereversedirectionfortheaboveclassofpolynomials.Besides,extensionsofsomeTuran-typeinequalitiesforthepolarderivativeofpolynomialshavebeenconsidered.

简介：Lp-LqdecayestimateofsolutiontoCauchyproblemofalinearthermoviscoelasticsystemisstudied.Byusingadiagonalizationargumentoffrequencyanalysis,thecoupledsystemwillbedecoupledmicrologically.Thenwiththehelpoftheinformationofcharacteristicrootsforthecoefficientmatrixofthesystem,Lp-LqdecayestimateofparabolictypeofsolutiontotheCauchyproblemisobtained.

简介：1.IntroductionInthispaperweconsiderCauchyproblemforaclassofnonhomogeneousNavier-Stokesequationsintheinfinitecylinderwith.Givensatisfyinginthedistributionsensediv,weseekasolutionvectorandapressurefunctionP(t,x)suchthatwhereisanonlinearvector-valuedfun...

简介：Inthispaper,weshalldealwiththeboundednessoftheLittlewood-Paleyoperatorswithroughkernel.WeprovetheboundednessoftheLusin-areaintegralμΩ,sandLittlewood-PaleyfunctionsμΩandμλontheweightedamalgamspaces(Lqω,Lp)α(Rn)as1

简介：We’llstudytheFEMforamodelforcompressiblemiscibledisplacementinporousmediawhichincludesmoleculardiffusionandmechanicaldispersioninone-dimensionalspace.Aclassofvertices-edges-elementsinterpolationoperatorinkisintroduced.Withthehelpofink(notellipticprojection),theoptimalerrorestimateinL∞(J;L2(Ω))normofFEMisproved.

简介：作者表演(部分)quarternion组上的标准LanglandsL功能在某些积极整数有至多简单的杆。

简介：Inthispaper,theLp-convergenceofGrünwaldinterpolationGn（f,x）basedonthezerosofJacobipolynomialsJ（α,β）n（x）（-1<α,β<1）isconsidered.Lp-convergence（00）ofGn（f,x）isobtainedfor-1<α,β≤0.Therefore,theresultsof[1]and[3-5]areimproved.

简介：WeconsiderdiffusivelimitoftheBoltzmannequationinaperiodicbox.WeestablishL~6estimateforthehydrodynamicpartPfofparticledistributionfunction,whichleadstouniformboundsglobalintime.

简介：Inthisnote,theauthorprovesthattheinverseproblemofsubmodularfunctionondigraphswithl∞objectivefunctioncanbesolvedbystronglypolynomialalgorithm.Theresultshowsthatmostinversenetworkoptimizationproblemswithl∞objectivefunctioncanbesolvedinthepolynomialtime.

简介：ThepaperisasurveyontheactionofBergmantypeprojectionsonvariousLpspaces.Thefocusisonthreetypesofholomorphicfunctionspaces:weightedBergmanspaces,theBlochspace,anddiagonalBesovspaces.

简介：Thispapercontainsadetailed,selfcontainedandmorestreamlinedproofofthel~2decouplingtheoremforhypersurfacesfromthepaperofBourgainandDemeterin2015.TheauthorshopethiswillserveasagoodwarmupforthereadersinterestedinunderstandingtheproofofVinogradov'smeanvaluetheoremfromthepaperofBourgain,DemeterandGuthin2015.

简介：InthispaperitturnsoutthataBanachlatticeXisorderisomorphictol~1(Γ)forsomenonemptysetΓiffitisaSchurspaceandalltheinfinitelydimensional,separableandclosedidealsofXareorderisomorphic.