Table of Content

  

24 February 2009
Volume 44 Issue 4

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Groups of order paqbrc having exactly three conjugacy classes of nonnormal subgroups

CHEN Shunmin ^1,2, CHEN Guiyun ³

J4. 2009, 44(4):  5-7 .  doi:

Abstract ( 1265 )   PDF (168KB) ( 915 )   Save

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Internal Psets and data outerrecovery

SHI Kaiquan, ZHANG Li

J4. 2009, 44(4):  8-14 .  doi:

Abstract ( 1288 )   PDF (284KB) ( 1183 )   Save

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data and　data outerrecovery was proposed, and the data outerrecovery theorem and redundancy principle of attribute surplus were given. By using these results, applications were given.

The maximum and minimum values of the independent indices of trees with given a number of pendent vertices

CAO QingXin, CHEN Xiangen, SU Keyi

J4. 2009, 44(4):  31-36 .  doi:

Abstract ( 1405 )   PDF (210KB) ( 720 )   Save

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(d,1)Total labeling of the product of path and cycle graph

ZHANG Sumei, MA Qiaoling, ZHAO Haixia

J4. 2009, 44(4):  37-42 .  doi:

Abstract ( 1326 )   PDF (245KB) ( 1071 )   Save

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The problem of (d,1)total labeling number for the product of path and cycle graphs is studied, and some results of (d,1)total labeling number for the product of path and cycle graphs are obtained.

Properties of Gconvex function under the framework of Gexpectations

WANG Wei

J4. 2009, 44(4):  43-46 .  doi:

Abstract ( 1642 )   PDF (189KB) ( 861 )   Save

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The existence of multiple positive solutions for nonlinear secondorder
periodic boundary value problems with impulses

ZHANG Ming, LU Huiqin

J4. 2009, 44(4):  51-56 .  doi:

Abstract ( 1320 )   Save

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Global attractor of a class of recurrent neural network with Stype distributed delays

LIANG Xiao, WANG Linshan

J4. 2009, 44(4):  57-60 .  doi:

Abstract ( 1257 )   PDF (211KB) ( 990 )   Save

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The asymptotic behavior of the recurrent neural network with distributed delays is investigated, and the dissipation of the system is solved by constructing a Lyapunov function with a Razuminkhin condition. As an application, a sufficient condition is given for the existence of a global attractor.

Global asymptotic stability condition for a class of delayed cellular neural networks

LIU Jing ^1,2

J4. 2009, 44(4):  61-65 .  doi:

Abstract ( 1356 )   PDF (213KB) ( 719 )   Save

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A sufficient condition is obtained for the uniqueness and global asymptotic stability of the equilibrium point for a class of neural networks with constant time delay by using Lyapunov functionals and combining with matrix inequality technique. The condition contains and improves some of the previous results in the literature.

Stability analysis of a class of neutral type singular systems

YAN Peng, SHEN Yanjun, WANG Jianfeng

J4. 2009, 44(4):  66-71 .  doi:

Abstract ( 1547 )   PDF (249KB) ( 895 )   Save

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The asymptotical stability problems of a class of neutral type singular systems with time delays are considered. First, the neutral type singular system with time delays is transferred into a neutral type system with the constraints. Then, two sufficient conditions for the stability of systems are obtained by using the theorem of Lyapunov stability and the technologies of linear matrix inequality. The results in this paper may also be the criteria of stability for linear singular time delayed systems, and are less conservative than the existing ones. Finally, the simulation experimentations illustrate the effectiveness of the proposed methods.

An alternating group method for a fifthorder dispersive equation

ZUO Jinming

J4. 2009, 44(4):  79-83 .  doi:

Abstract ( 1278 )   PDF (210KB) ( 705 )   Save

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Generalized Egoroff theorems of sequence of fuzzy valued functions

LI Yanhong

J4. 2009, 44(4):  88-91 .  doi:

Abstract ( 1575 )   PDF (195KB) ( 972 )   Save

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On the general fuzzy measure space, aiming at the sequence of measurable fuzzy valued functions, we present the concepts of almost everywhere convergence(or pseudoalmost everywhere convergence)and almost uniform convergence(or pseudoalmost uniform convergence), study the implication relationship of almost everywhere convergence and pseudoalmost everywhere convergence or almost uniform convergence and pseudoalmost uniform convergence. Thereby many different kinds of fuzzy generalized Egoroff theorems are obtained.