共查询到20条相似文献,搜索用时 62 毫秒
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李立鹏 《数学物理学报(A辑)》1994,(Z1)
本文基于文献[l]和[2],讨论了高维变系数线性偏微分方程组Cauchy问题的抛物性,得到了与文献[l]和[2]的方法和结果均不同的充分条件 相似文献
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该文研究了一类高阶线性微分方程解的增长性,推广并完善了文献[3][4][5][7 ]的结果. 相似文献
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本文我们将介绍三种不同于文献[1]中的正则.分别记作[正则]1、[正则]2、[正则]3。并讨论它们之间以及与[1]中正则的关系,我们将证明[正则]2不仅拓宽了原正则[1]。而且还具有相应好的性质。同时还将证明[正则]3在可拓扑生成条件下与[1]中正则是等价的。 相似文献
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圆柱型正交各向异性圆形薄板的非线性非对称弯曲问题(Ⅱ) 总被引:3,自引:3,他引:0
本文利用“正则摄动法”[2]研究文献[1]中由“两变量法”[3]所得到的关于Wnm,和的递推方程和递推边界条件的求解问题。求得了本问题的一致有效渐近解,最后作为实例,我们利用“混合摄动法”[4]研究了轴对称线性弯曲问题,并将所得结果与文献[5]中给出的精确解相比较,两者基本上是一致的。 相似文献
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1引言近年来,变分不等式区域分解算法取得了许多成果,就线性算子变分不等式而言,读者可参见[1]、[2]、[3]等参考文献中关于重叠型的Schwartz算法的分析以及文献[4]中关于非重叠型的Schwartz算法的讨论,就非线性算子变分不等式而言,读者可参见文献〔5〕、[6]、[7]中的有关结果.最近,在文献[8]中针对线性变分不等式问题,提出了一种加性广义Schwartz算法,其数值算例表明,这种算法可通过调节参数从而使算法的收敛速度大大加快,较经典的加性和乘性Schwartz算法,具有明显的数… 相似文献
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The purpose of this paper is to establish some new matching theorems in G-convex spaces and, as applications, to obtain some new fixed point theorems, section theorems and a minimax theorem in G-convex spaces. The results presented in this paper improve and generalize the corresponding results in [1], [2], [3], [4], [5], [7], [8], [9], [10], [11] and [12]. 相似文献
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Dr. H. Sies 《Monatshefte für Mathematik》1982,94(2):155-162
In [5]Ky Fan derived several theorems on real square matrices from well-known covering theorems on simplexes given byE. Sperner [13] andB. Knaster-C. Kuratowski-S. Mazurkiewicz [9]. In this note some theorems on monotone matrices and nonsingularM-matrices are presented which extend some ofFan's results. The proofs will be based on certain topological theorems on simplexes which were recently established by the author in [12] and which include the mentioned covering theorems. 相似文献
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本文给出了某些二阶非线性微分方程在周期外力作用下存在调和解的若干定理.这些定理推广了文[1]~[8]的有关结果. 相似文献
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This paper contains three theorems on the order of approximation of 2π-periodic functions of two variables by some linear
means of the Fourier series in the Orlicz spaces. These theorems generalize some results given in [1] and [5]. 相似文献
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杨干山 《数学物理学报(A辑)》1997,(Z1)
该文首先给出了关于两个非紧凸集可被强分离的充分必要条件,它是[1,2]中一个定理的改进,然后利用它改进了[4-7]中一些定理和[8]中的一个结果. 相似文献
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A new condition for mappings, called condition (C), which is more general than nonexpansiveness, was recently introduced by Suzuki [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095]. Following the idea of Kirk and Massa Theorem in [W.A. Kirk, S. Massa, Remarks on asymptotic and Chebyshev centers, Houston J. Math. 16 (1990) 364-375], we prove a fixed point theorem for mappings with condition (C) on a Banach space such that its asymptotic center in a bounded closed and convex subset of each bounded sequence is nonempty and compact. This covers a result obtained by Suzuki [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095]. We also present fixed point theorems for this class of mappings defined on weakly compact convex subsets of Banach spaces satisfying property (D). Consequently, we extend the results in [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] to many other Banach spaces. 相似文献
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高智民 《数学物理学报(A辑)》2005,25(4):516-521
函数刻画广义度量空间,最早可追溯至Heath和Hodel的工作. 近些年来,Nagat a和一些拓扑学者利用g函数系统地研究了度量化问题. 该文引入弱基g函数的概念,利用它给出拓扑空间度量化的一些等价刻画, 推广了前人的相关工作. 证明了拓扑空间X可以度量化,当且仅当X有弱基g函数满足条件(1)和(7). 相似文献
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Michael Neumann 《manuscripta mathematica》1978,26(1-2):37-61
In this note, some of the fundamental theorems concerning the automatic continuity of positive linear functionals and positive linear operators (see [9,14,21]) as well as certain uniform boundedness type theorems (see [5,13,15,19]) will be extended to derive various continuity properties of (even discontinuous) sublinear operators from some metrizable topological vector space to some ordered topological vector space. 相似文献
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乘积空间中非线性算子的极大极小不动点定理及迭代法* 总被引:3,自引:0,他引:3
本文研究了乘积空间中非线性算子的极大极小不动点和迭代法.作为我们结果的推论,一些耦合不动点定理被获得、它们推广了由郭大钧和Lankshmikantham获得的耦合不动点定理.(见Nonlinear Anal、11(1986),623-632)和由兰在[4]、[6]中获得的结果. 相似文献