简介:利用锥上的不动点定理证明了二阶Nuemann特征值问题-u″+Mu=λa(t)f(u(t))m0≤t≤1u′(0)=u′(1)=0是的正解存在性结果.
简介:对于圆锥型和棱锥型Hamiltonian的Eikonal型方程,本文给出了一种几何方法,得出其初值问题解的表达式并且说明由此式给出的解为原初值问题的粘性解.首先用一个凸函数序列逼近Eikonal型方程中的Hamiltonian,再由Hopf-Lax公式给出方程序列的粘性解,最后证明了该粘性解序列会收敛到Eikonal方程的粘性解.
简介:设H是特征为零的代数闭域k上的半单Hopf代数.本文证明了如果dimkH是小于351的奇数,则H是Frobenius型Hopf代数.
简介:The3-stageClosnetworkC(n,m,r)isconsideredasthemostbasicandpopularmultistageinterconnectionnetworkwhichhasbeenwidelyemployedfordatacommunicationsandparallelcomputingsystems.Quitealotofeortshasbeenputontheresearchofthe3-stageClosnetwork.Unfortunately,verylittleisknownforthemultiratemulticastClosnetworkwhichisthemostcomplicatedcase.Firstlyasucientconditionfor1-ratemulticastnetworkstobeSNBisgiven,fromwhicharesultfor2-ratemulticastnetworkstobeWSNBcaneasilybegotten.Furthermore,byusingareservation-schemerouting,morespecificresultfor2-ratemulticastnetworkstobeWSNBcanbeobtainedforthecaseofoneofthemexceeding1/2.