简介:AnefficientmethodforC2nearlyarc-lengthparameterizedcurveispresented.Anideaofapproximationforthearc-lengthfunctionofparametriccurvewhichinterpolatesCADdatapointsisdiscussed.Theparameterizationisimplementedbyusingparametertransformation.Finally,twonumericalexamplesaregiven.
简介:SupposethatDisaboundeddomainwithapiecewiseC^1smoothboundaryinC^n.Letψ∈C^1+α(δD).ByusingtheHadamardprincipalvalueofthehigherordersingularintegralandsolidanglecoefficientmethodofpointsontheboundary,wegivethePlemeljformulaofthehigherordersingularintegralwiththeBoehner-Martinellikernel,whichhasintegraldensityψ.Moreover,bymeansofthePlemeljformulaandmethodsofcomplexpartialdifferentialequations,wediscussthecorrespondingCauehyboundaryvalueproblemwiththeBoehner-Martinellikernelonaclosedpiecewisesmoothmanifoldandobtainitsuniquebranchcomplexharmonicsolution.
简介:LetXbeaweaklyCauchynormedspaceinwhichtheparallelogramlawholds,CbeaboundedclosedconvexsubsetofXwithonecontractingpointandTbean{a,b,c}-generalized-nonexpansivemappingfromCintoC.Weprovethattheinfimumoftheset{||x-T(x)||}onCiszero,studysomefactsconcerningthe{a,b,c}-generalized-nonexpansivemappingandprovethattheasymptoticcenterofanyboundedsequencewithrespecttoCissingleton.Dependingonthefactthatthe{a,b,0}-generalized-nonexpansivemappingfromCintoChasfixedpoints,accordingly,anotherversionoftheBrowder’sstrongconvergencetheoremformappingsisgiven.
简介:在这个工作我们在场关于借助于在与形状保存有关的假设下面的一个线性操作符的一个函数的k-th衍生物的近似的结果性质。作为后果,我们关于Meyer-K推出新结果?nig和Zeller操作员。
简介:在α次积分C半群和双连续n次积分C半群的基础上,探讨了双连续α次积分C半群的扰动性,得到了双连续α次积分C半群的扰动定理,并且在局部Lipschitz连续条件下证明双连续α次积分C半群的扰动理论仍然成立.
简介:ThispaperstudiestheasymptoticpropertiesoftherandomiterationsofboththeformGn=f1of2o……ofnandtheformFn=fnofn-1o…of1,where{fn}(包含于)H(Ω,Ω)andΩ(包含于)C^Nisahoundeddomain.Itisfoundthat,undersomeconditions.GnorFntendstoapointinΩasn→∞.Someexamplesarealsogiventoshowthattheconditionsthatwehavegivencannotbedroppedingeneral,Moreover,acompletedescriptionisgivenforFnorGntotendtoapointinΩundertheconditionfn→f.