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中文
Journal of Systems Science and Mathematical Science
Current Issue
2008 28 (4)
Apr. 25, 2008
385
LIU Xiaoqi, ZHU Qiding and CHEN Hongbin
Multi-Scale Finite Element Methods for Heat Equation in Two
Dimensional Honeycomb Structure
The heat equation in two dimensional honeycomb structure is investigated. A multiscale finite element method with high accuracy is presented. The rigorous proofs of all convergence results are derived.
...
Journal of Systems Science and Mathematical Science 28 (4): 385-399 [
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400
LI Qiuying and ZHU Chuanxi
Some New Fixed Points in Z-P-S Space
In this paper, the fixed point of nonlinear operator in Z-P-S space is studied
by virtue of the topological degree, and some new fixed point theorems are obtained. Finally, some important conclusions are generalized.
...
Journal of Systems Science and Mathematical Science 28 (4): 400-405 [
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47
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406
JIA Yifeng and CHEN Yufu
A New Algorithm for Solving Hamiltonian Constrains
In this paper, the polynomial type of Hamilton system is considered. Using Wu elimination method, a new algorithm is given to determine the system regularity. For regular systems, the Hamiltonian and motion equations are obtained. For d...
Journal of Systems Science and Mathematical Science 28 (4): 406-415 [
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416
WEI Chuanhua and WU Xizhi
Profile Lagrange Multiplier Test for Partially Linear Varying-Coefficient Regression Models
The estimation and testing of partially linear varying-coefficient models under additional linear restriction on parametric component are considered.
The constrained estimator for parametric and nonparametric components is establishe...
Journal of Systems Science and Mathematical Science 28 (4): 416-424 [
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36
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425
GAN Xusheng, ZHANG Hongcai, CHENG Yongmei and XIONG Xianzhe
An Adaptive Fuzzy Neural Network Prediction Method on Aircraft Accident
The prediction of aircraft accident has the extremely vital significance for preventing aircraft accident. First of all, the main factors are systemically analyzed, which influence the air force aircraft accident, and the related qualit...
Journal of Systems Science and Mathematical Science 28 (4): 425-433 [
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434
ZHANG Zhixin and JIANG Wei
On the Existence and Uniqueness of Periodic Solutions of a Kind of
Neutral Integro-Differential Equations
The existence and uniqueness of periodic solutions of neutral integro-differential equations with both continuous and discrete delays of the form $$\frac{\rm d}{{\rm d}t}\Big[x(t)+\sum\limits_{j=1}^{q}e_{j}(t)x(t-\delta_{j}(t))\Big]
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Journal of Systems Science and Mathematical Science 28 (4): 434-446 [
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447
XIANG Changhe
A Necessary and Sufficient Condition for the Iterative Sequence Convergence to the Fixed Point of Uniformly L-Lipschitz Asymptotically Quasi Pseudo-Contractive Type Mapping
Suppose $\Bbb E$ is a real Banach space, $\Bbb C$is a nonempty convex subset of $\Bbb E$($\Bbb C$ may be a unbounded subset of$\Bbb E$), $T:\Bbb C\rightarrow \Bbb C$ is a uniformly $L$-Lipschitzian asymptotically quasi pseudo-contractiv...
Journal of Systems Science and Mathematical Science 28 (4): 447-455 [
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456
SHENG Baohuai and ZHOU Guanzhen
A Way of Constructing Spherical Approximation Operators
Two sequences of spherical translation operators are constructed respectively with the help of the classical Bochner-Riesz means, the Ces${\rm \grave{a}}$ro means, and the Gauss integration formula related with the spherical harmonics...
Journal of Systems Science and Mathematical Science 28 (4): 456-467 [
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468
XU Xian
Positive Solutions for Operator Equations System and Applications to
Semi-Positone Differential System
In this paper, the existence of positive solutions for the operator equation system
$$ \left\{ \begin{array}{l}
x=\lambda K_1 F_1(x, y), y=\lambda K_2 F_2(x, y), \end{array} \right. $$
is considered, where $\lambda>0$...
Journal of Systems Science and Mathematical Science 28 (4): 468-481 [
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482
XIE Shengli
A Remrk on the Existence of Solutions of Initial Value Problem for First order Nonlinear Impulsive Integro-Differential Equation in Banach Space
Assume that $m(t)\in C[J_k,{\bf R^+}](k=1,2,\cdots,m)$ and $$
m(t)\leq (L_1+L_2t)\int_0^tm(s){\rm d}s+L_3t\int_0^am(s){\rm d}s
+\sum\limits_{0<t_k<t}M_km(t_k),$$where $L_i\geq0(i=1,2,3),~M_k\geq0 $ satisfy either $$KaL_3\big...
Journal of Systems Science and Mathematical Science 28 (4): 482-489 [
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490
LI Yi
An Algorithm for Sums of Squares of a Class of Positive Semi-Definite Polynomials
Based on Newton polytope technology, by means of the relation of points in Newton polytope, an algorithm is presented for representing a class of positive semi-definite polynomials as sums of squares. It's is very effective for a class ...
Journal of Systems Science and Mathematical Science 28 (4): 490-504 [
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505
ZHU Xiaofeng, ZHANG Meirong and LI Xiuchun
Asymptotic Properties of Krawtchouk Polynomials
In this paper, the asymptotic properties of Krawtchouk polynomials and their zeros are investigated. Firstly, a uniform asymptotic expansion for Krawtchouk polynomials $K_n \left( {\lambda N}\right)$ ($\lambda = \frac{x}{N},0 < \lamb...
Journal of Systems Science and Mathematical Science 28 (4): 505-512 [
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