Solutions of Two-point BVP in Banach Spaces

IntroductionGuoetal.[1]discussedthetwo-pointboundaryvalueproblem(BVP)forordinarydifferentialequationsinBanachspaces,-u″=f(t,u),　t∈I=[0,1]u(0)=u(1)=0andgavesomeconclusions.Usingthemonotoneiterationtechnique,SongFumindiscussedthesameBVP[1]andshoweditsmaximalandminimalsolutions[2].Inmoregeneralboundaryvaluecondi-tions,GuoandSun[3]discussedBVPinreflexiveBanachspacesandmadeseveralconclusions.InthisworkthefollowingBVPinrealBanachspace,E,isconsidered.Lu(-p(t)u′)′ q(t)u=f(t,u),B0uau(0)-…     

用重复卷积法求解物理宽化函数

用重复卷积法求解物理宽化函数吴万国,林嘉　（福州大学中心实验室,福州３５０００２）（中国（福建）对外贸易中心集团,福州３５０００１）关键词Ｘ射线衍射,晶粒度,晶格畸变,重复卷积粉末试样的Ｘ射线衍射谱线一般具有一定的宽度,引起话线宽化的主要原因有仪器致...     

Parallel iterative solution-phase synthesis of 5-amino-1-aryl-[1,2,4]triazolo[1,5-a]pyridine-7-carboxylic acid amide derivatives

The parallel iterative solution-phase synthesis of 5-amino-1-aryl-[1,2,4]triazolo[1,5-a]pyridine-7-carboxylic acid amide derivatives is described. The key intermediate 2,6-bis-aminopyridine-4-carboxylic acid methyl ester was synthesised in a two step procedure in 64% overall yield and elaborated to a variety of triazolopyridine-5-carboxylic acid methyl ester by selective pyridine-N-amination, condensation of the adduct with a wide selection of aldehydes and subsequent cyclisation and oxidation. The desired esters were obtained in yields up to 70%. The final transformation to the amide derivatives was accomplished by application of carefully optimised reaction conditions thus giving access to a library of total 500 triazolopyridine amide derivatives. Iterative synthetic cycles (12-48 library members each) allowing for maximal flexibility in chemistry and maximal efficiency in in vitro biological activity optimisation guided by molecular modelling efforts constitute a synergistic procedure for rapid lead optimisation.     

Back-and-forth shooting method for solving two-point boundary-value problems

The paper proposes a special iterative method for a nonlinear TPBVP of the form (t)=f(t, x(t),p(t)), (t)=g(t, x(t),p(t)), subject toh(x(0),p(0))=0,e(x(T),p(T))=0. Certain stability properties of the above differential equations are taken into consideration in the method, so that the integration directions associated with these equations respectively are opposite to each other, in contrast with the conventional shooting methods. Via an embedding and a Riccati-type transformation, the TPBVP is reduced to consecutive initial-value problems of ordinary differential equations. A preliminary numerical test is given by a simple example originating in an optimal control problem.     

一类非线性方程的迭代解及应用

利用锥理论和单调迭代方法研究了一类非线性方程解的存在唯一性及其迭代过程，对所述的映射没有作连续性、紧性或具有上、下解的假定．作为应用，把所获得的结果用到Banach空间一阶微分方程．     

非线性算子方程的迭代求解方法

在较弱的条件下,利用锥理论和单调迭代方法,建立了Banach空间中一类非线性算子方程的最大最小藕合解的存在性定理和不动点定理,并给出了相应的迭代逼近式及误差估计式,改进了一些相应结果.     

Banach空间中积分微分方程周期边值问题

给出了Banach空间中非线性一阶积分微分方程周期边值问题在一序区间上的最大解与最小解的存在性。     

基于PD型迭代学习的液压机械手轨迹控制

液压机械手作业系统的任务规划具有重复性,为了对液压机械手作业动作进行有效控制,建立了适合机械手作业系统的迭代自学习控制规律.只要增益Kp、Kd及学习因子α满足一定的条件,则该学习控制就是稳定的.通过对系统数字仿真,结果表明带学习因子的PD型迭代学习控制,较传统的PD控制有更好的动态响应特性,稳态误差小,具有一定的自适应性和鲁棒性.采用这种PD型前向反馈学习控制规律,只要机械手各关节变量的位置锁定,就可在期望的范围内实现抓取和释放动作.因此,该控制算法适合液压机械手系统的控制要求,能对其作业进行有效控制.图6,表1,参8.     

极限编程初探

简单介绍了极限编程（XP）软件方法，讨论了使用极限编程的益处，进而结合自身项目经验和对极限编程的实践提出了适合当前软件业的9条实施建议，以期对提高软件生产质量和效率能有所裨益。     

基于正则方法与迭代技术相结合的复杂温度场重建算法

针对傅里叶正则算法在复杂温度场重建过程中存在的不足 ,首先用正则化方法获得温度场重建这一不适定问题的稳定解 ,然后利用迭代技术对解进行一次迭代优化修正 ,充分考虑观测矩阵降质对温度场重建的影响·提出一种基于正则化方法与一次迭代技术相结合的复杂温度场重建算法·仿真结果表明该算法温度场重建精度优于傅里叶正则算法 ,能快速而较高精度地重建出复杂温度场二维温度分布