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二次型极值已被一些文献诸如[1]和[3]讨论,一些相近的题目可在文献[2]中见到.文献[1]得到与二次型有关的行列式极值和典则变量的最优性质,本文对[1]给出补注. 相似文献
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一类三阶非线性微分方程解的不稳定性* 总被引:2,自引:0,他引:2
文献[1]讨论了非线性缓变系统的渐近稳定性,文献[2]讨论了三阶变系数线性微分方程解的不稳定性。本文应用文献[1]、[2]的方法讨论一类三阶非线性微分方程解的不稳定性。 相似文献
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<正> 本文是文献[1]的继续,讨论三种类型的演化方程的等价性.在文献[2]中讨论了一些新的可积方程,它联系着特征值问题 相似文献
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文献[1~2]讨论了亏度为2的四次缺插值样条,文献[7~10]讨论了亏度为3的五次缺插值样条,文献[3—6]对很一般的C~1、C~2类缺插值样条作了系统的、深刻的研究。 本文通过运用H-B插值样条的良好结果,讨论一般的C~k[0,1]中的s次缺插值样条,统一并推广了已有的许多成果[1~10]。 相似文献
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§1.引言由于树的生成在计算机科学中有着重要应用,近年来许多文章研究了树的生成,其中大多数文章是讨论2分树及 k 分树的生成.研究一般有序根树的文章尚少.文献[1]给出了有序根树的一个序列表示法,并描述了一个生成有序根树的算法.文献[2]及[3]讨论了生成2分树及 k 分树的算法.本文用0,1序列表示有序根树,并给出了一个字典序地生成具有 n 个顶点的所有有序根树的算法.本文的表示法及算法与文献[1]中所提方法不同.本算法亦可用来生成具有 n 个叶子的所有2分树.它比[2]中的算法更简单.本文中未加说明的术语皆见[1]. 相似文献
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基于模糊结构元的模糊级数 总被引:5,自引:1,他引:4
在文献[1]中提出的模糊结构元概念及文献[4]中的得到的[-1,1]上同序标准单调有界函数类与有界模糊数空间同胚性质基础上,本文给出了基于模糊结构元的模糊数项级数和模糊值函数项级数定义,对其重要性质进行了讨论. 相似文献
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文献[1]引入和研究了S-正则语言及其语言类的代数结构.本文作为对[1]的两点注记,讨论了S-正则语言类与语言的Chomsky层次之间的关系,以及上的等价关系≈. 相似文献
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In this paper we consider boundary value problems in perforated domains with periodic structures and cavities of different scales, with the Neumann condition on some of them and mixed boundary conditions on others. We take a case when cavities with mixed boundary conditions have so called critical size (see [1]) and cavities with the Neumann conditions have the scale of the cell. In the same way other cases can be studied, when we have the Neumann and the Dirichlet boundary conditions or the Dirichlet condition and the mixed boundary condition on the boundary of cavities.There is a large literature where homogenization problems in perforated domains were studied [2];-[7]; 相似文献
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Shengfeng Zhu Qingbiao Wu Xiaoliang Cheng 《Applied mathematics and computation》2009,215(7):2472-2485
We present two iterative methods for solving the Falkner-Skan equation based on the quasilinearization method. We formulate the original problem as a new free boundary value problem. The truncated boundary depending on a small parameter is an unknown free boundary and has to be determined as part of solution. Using a change of variables, the free boundary value problem is transformed to a problem defined on [0, 1]. We apply the quasilinearization method to solve the resulting nonlinear problem. Then we propose two different iterative algorithms by means of a cubic spline solver. Numerical results for various instances are compared with those reported previously in the literature. The comparisons show the accuracy, robustness and efficiency of the presented methodology. 相似文献
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Xing-ye Yue 《计算数学(英文版)》1999,(3)
1.IntroductionConsiderthetime-dependentconvection-diffusionproblemat--Euzx a(x,t)u. b(x,t)u~f(x,t),(x,t)E[0,1]x[0,T](1.1)u(0,t)=u(1,t)~0,tE[0,T].(1.2)u(x,0)=u000,xE[0,1],(1.3)a(x,t)2or>0,(1.4)b(x,t)--a.(x,t)/220>0,(1.5)where0SE<<1'(1.1)-(1.5)canbereg... 相似文献
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二阶奇异超线性微分方程正解的存在性和不可比较性 总被引:6,自引:0,他引:6
本文通过构造—个特殊的锥,利用范数形式的锥拉伸不动点定理对较广泛的一类二阶奇异超线性微分方程边值问题做了研究,得到所述问题的Cp1[0,1]正解存在的充分条件、必要条件,以及Cp1[0,1]正解的不可比较性. 相似文献
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In [1], [2], [3], [4], [5], [6] and [7], it is very difficult to deal with initial boundary value conditions. In this paper, we give a new method to deal with boundary value conditions, the main contribution of this paper is to put mixed boundary value conditions into reproducing kernel Hilbert space. The numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective. 相似文献
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Numerical solution of special 12th-order boundary value problems using differential transform method
Siraj-Ul Islam Sirajul Haq Javid Ali 《Communications in Nonlinear Science & Numerical Simulation》2009,14(4):1132-1138
In this paper, a differential transform method (DTM) is used to find the numerical solution of a special 12th-order boundary value problems with two point boundary conditions. The analysis is accompanied by testing differential transform method both on linear and nonlinear problems from the literature [Wazwaz AM. Approximate solutions to boundary value problems of higher-order by the modified decomposition method. Comput Math Appl 2000:40;679–91; Siddiqi SS, Ghazala Akram. Solutions of 12th order boundary value problems using non-polynomial spline technique. Appl Math Comput 2007. doi:10.1016/j.amc.2007.10.015; Siddiqi SS, Twizell EH. Spline solutions of linear 12th-order boundary value problems. J Comput Appl Math 1997;78:371–90]. Numerical experiments and comparison with existing methods are performed to demonstrate reliability and efficiency of the proposed method. 相似文献
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实 Clifford 分析中的一个边值问题 总被引:2,自引:1,他引:1
考虑以 e_A=e_(α1)…e_(αh)(A={α_1,α_2,…,α_h)(?){1,2,3,…,n),1≤α_1<α_2<…<α_h≤n)为基底元素的实 Clifford 代数 A_n(R),其中 e_1=1,e_k~2=-1(k=2,3,4,…,n),e_ke_m e_me_k=0(k≠m,k,m=2,3,4,…,n).并用 V_n 表示由向量组 e_1,e_2,…,e_n 所张成的 A_n(R)的子空间,V_n 中元素为 x=(?)x_ke_k,A_n(R)中的 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2005,62(7):1251-1265
In this paper we study the existence of positive solutions to a system of second-order nonlocal boundary value problems by using fixed point index theory in a cone. Our hypotheses imposed on nonlinearities are those which characterize systems of nonlocal boundary value problems, and our boundary value conditions are expressed in terms of possibly nonlinear functions of Riemann–Stieltjes integrals, thus generalizing and unifying the boundary value conditions in the literature. Therefore our results cannot be routinely deduced from the ones for single nonlocal problem in the literature. 相似文献
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H. Beirāo da Veiga 《偏微分方程(英文版)》2006,19(4):369-376
The problem of the existence of time-periodic flows in infinite cylindrical pipes in correspondence to any given, time-periodic, total flux, was solved only quite recently in [1]. In this last reference we solved the above problem for flows under the non-slip boundary condition as a corollary of a more general result. Here we want to show that the abstract theorem proved in [1] applies as well to the solutions of the well known slip (or Navier) boundary condition (1.7) or to the mixed boundary condition (1.14). Actually, the argument applies for solutions of many other boundary value problems. This paper is a continuation of reference [1], to which the reader is referred for some notation and results. 相似文献