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APPROXIMATE ANALYTICAL SOLUTION OF THE BRUSSELATOR WITH DIFFUSION TERM

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Chinese Science Bulletin 1983年第8期28卷 1007-1011页

作者：张锁春 Institute of Applied Mathematics Academia Sinica Beijing? INTRODUCTION Rate equations corresponding to the Brusselator with diffusion term are non-linear parabolic partial differential equations. Ⅰ. Prigogine and his co-workers have studied two cases. (ⅰ) Both A and B are assumed to remain uniform in space and time. (ⅱ) A is non-uniform and B is uniform. The usual basic methods for studying these prob-

Ⅰ. INTRODUCTION Rate equations corresponding to the Brusselator with diffusion term are non-linear parabolic partial differential equations. Ⅰ. Prigogine and his co-workers have studied two cases. (ⅰ) Both A and B are assumed to remain uniform in space and time. (ⅱ) A is non-uniform and B is uniform. The usual basic methods for studying these prob-

关键词： assumed parabolic usual linearization arbitrarily approximate enable steps Profiles merely

THE BUDAN-FOURIER THEOREM FOR -SPLINES AND ITS APPLICATION

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Chinese Science Bulletin 1983年第5期28卷 599-601页

作者： HUANG DAREN WANG JIANZHONG (Zhejiang University, Hangzhou) 黄达人 Zhejiang University Hangzhou 王建忠 Zhejiang University Hangzhouuppose that the given polynomial of degree n+1(n ≥0) has only real zeros we denote the set of zeros by T= {t_0 … t_n}. We have the associated differential operator

Suppose that the given polynomial of degree n+1（n ≥0） has only real zeros, we denote the set of zeros by T= {t0, …, tn}. We have the associated differential

关键词： polynomial interpolation kernel arbitrary arbitrarily Hangzhou bounds 梦夕 spline saturation

APPROXIMATE CONTROLLABILITY ON ABSTRACT CONTROL SYSTEM WITH A NONLINEAR DISTURBANCE

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Chinese Science Bulletin 1985年第3期30卷 285-288页

作者：周鸿兴 Department of Mathematics Shandong University Jinan? PROBLEM AND ASSUMPTIONS In 1978 J. Henry first discussed the globe controllability problem on a semilinear parabolic system with a distributed control. The author obtained the approximate control lability theory on a semilinear abstract control system unifying finited-dimen-

Ⅰ. PROBLEM AND ASSUMPTIONS In 1978 J. Henry first discussed the globe controllability problem on a semilinear parabolic system with a distributed control. The author obtained the approximate control lability theory o... 详细信息

关键词： semilinear approximate parabolic lability operators globe normed subset weakly arbitrarily

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一类三阶非线性系统的全局渐近稳定性

经济数学 1991年第1期9卷 30-38页

作者：苏醒湖南财经学院

本文利用Liapanov函数讨论了一类菲线性系统的全局渐近稳定性态。在研究自动调节系统和实际运用中,以往都是运用BKL定理,本文利用改进了的BKL定理,得到了一类三阶非线性系统的全局渐近稳定性。包含了Lurpe、Rongelerff、徐兆、张献珍文... 详细信息

本文利用Liapanov函数讨论了一类菲线性系统的全局渐近稳定性态。在研究自动调节系统和实际运用中,以往都是运用BKL定理,本文利用改进了的BKL定理,得到了一类三阶非线性系统的全局渐近稳定性。包含了Lurpe、Rongelerff、徐兆、张献珍文献的结论作为特例,并削弱了上述文献中的一些条件。

关键词：全局渐近稳定性三阶非线性 proof nontrivial Liapunov 自动调节系统 infinitely arbitrarily infinity satis

THE RECONSTRUCTION OF q-TREES

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Chinese Science Bulletin 1988年第10期33卷 873-页

作者：韩伯棠 Beijing Institute of Technology

Let q be a positive integer. The graphs called the q-trees are defined by recursion: the smallest q-tree is the complete graph K_q with q vertices, and a q-tree with n+1 vertices where n≥q is obtained by adding a new vertex adjacent to each of q arbitrarily selected but mutually adjacent vertices of a q-tree with n vertices. Obviously, 1-trees are the graphs which we generally call trees.

关键词： integer vertex smallest mutually arbitrarily adding Kelly

CHROMATICITY OF q-TREES

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Chinese Science Bulletin 1987年第11期32卷 791-页

作者：韩伯棠 Beijing Institute of Technology

The graphs called q-trees are defined by recursion. The smallest q-tree is the complete graph on q vertices. A q-tree on n+1 vertices (n≥q) is obtained by adding a new vertex adjacent to each of q arbitrarily selecte... 详细信息

关键词： vertex smallest arbitrarily pairwise adding 一宁

Quasi-I-Hamilton Connectedness of Tree Graphs

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数学研究与评论 1987年第3期 498-498页

作者：高敬振 Shandong Normal University Jinan

For any graph G, Γ(G) is uniformly hamiltonian whenever it contains at least two cycles [1] and is either a hypercube or hamilton connected [2].In this paper, a further investigation to the hamiltonian property of t... 详细信息

关键词： whenever connected uniformly vertex connecting arbitrarily quasi adding length cycle

A NEW CHARACTER OF THE SCHUR SPACE

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Chinese Science Bulletin 1984年第11期29卷 1557-页

作者：戴兴德 Department of Mathematics Zhejiang University Hangzhou

In his paper ( 254, (1980) 3:559—561) Firsov raised the notion of the generalized Opial condition. We have pointed out that this notion is equivalent to the Opial *** this letter we discuss various types of the Opial... 详细信息

关键词： SPACE letter notion pointed raised arbitrarily