Journal of Jishou University(Natural Sciences Edition)

Infinitely Many Solutions of p-Laplacian Equations with a Nonsymmetric Term

GENG Di, LIU Di-Sheng

journal6, 2008, 29(5): 1-4.

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A class of p-Laplace equation with a nonsymmetric term on a bounded domain is studied.By using the large Morse index of the corresponding Laplace equation,we give a growth estimate about the series of min-max values of associated functional for the problem.The estimate is better than the given result in some range.It is shown that the problem possesses infinitely many weak solutions.

New Solutions of the Burgers Equation

XIE Yuan-Xi

journal6, 2008, 29(5): 5-9.

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By utilizing the transformation and introducing an intermediate function,many novel explicit and exact solutions to the Burgers equation,which include the rational function solution,the solitary wave solutions,the singular traveling wave solutions and the trigonometric function periodic wave solutions,are successfully derived in a simple manner.

Monotone Coefficients and Monotonicity of Weak Orlicz

CUI Yun-An, AN Hong-Na, JIANG Ze-Hong

journal6, 2008, 29(5): 10-13.

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The criteria for monotonicity,strict monotonicity,uniform monotonicity and locally uniformly monotonicity of weak Orlicz space are given.At the same time,monotone coefficients of weak Orlicz space and a point of this space are computed.

Ishikawa Iterative Procedure and Stability for Nonlinear Mixed Variational Inclusions

LI Hong-Gang

journal6, 2008, 29(5): 14-18.

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A new class of generalized nonlinear mixed variational inclusions involving (A,η)-accretive mappings is studied in Banach spaces,an existence theorem of solution for this kind of variational inclusion is proved,and a new Ishikawa iterative algorithm is established,and the stability and the convergence of iterative sequences generated by the algorithm is discussed in q-uniformly smooth Banach spaces.

On the Completion Problems of Operator Partial Matrix

REN Fang-Guo, GAO Rong-Li

journal6, 2008, 29(5): 19-22.

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Let H and K be complex Hilbert spaces,and the triple (A,B,C) of operators is given,where A∈ B(H),B∈B(K),C∈ B(K，H).For operator matrix A CX B defited on H  K,the intersection of the resolvent set of MX is charecterized when X is taken all operator in B(H，K).

Crossing Number of the Cartesian Product of a 6-Vertex Graph with S*n

ZHANG Li-xi, LI Bo, HUANG Yuan-Qiu

journal6, 2008, 29(5): 23-29.

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There are several known exact results on the crossing numbers of Cartesian products of stars with “small” graphs. In this paper we extend these results to the cartesian products of a specific 6-vertex with the star K1，n and determine its crossing number is z(6,n)+4n. In addition we give the crossing number of the graph Hn obtained by adding 2 edges to the graphin K2,4,n such a way that these new edges respectively join a pair of vertices of degree n+2 of the graph K2,4,n.

G¹ Continuous Interpolation Curve on Smooth Surface

SU Guo-Rong, YANG Song-Lin

journal6, 2008, 29(5): 30-33.

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In computer aided geometric design,an interpolation curve restricted on a given smooth surface is a new research aspect.The main solution is to transfer to the common curve interpolation based on the relation between the surface and its parameter domain.A new and practical method is introduced in this paper.The basic idea is as follows:at first the given data points and tangent vectors on the surface are projected to a plane,then construct a spline curve interpolating the projected data points on the plane.The intersect curve of the surface and the projecting cylinder of the spline curve is the G1 continous interpolation curve.

Framework of the Distributed Coordination Intrusion Detection System Based on the Ring Structure

JIANG Hua-Bin

journal6, 2008, 29(5): 34-38.

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Through analyzing the characteristics and the cooperating mode of the present Distributed Intrusion Detection System (DIDS),this paper proposes a kind of architecture based on Ring Distributed Coordinated Intrusion Detection System （RDCIDS）.Furthermore,it expatiates on the event-generator,and event-analyzer,event-responder of the DIDS;adopts the protocol analysis,the data analysis,command interpreter and cooperate processor.It provides more convenience for the RDCIDS and overcomes the defects such as complicated structure and load imbalance in each subsystem of the present distributed intrusion detection system.

Image Encryption Algorithm Based on Lorenz Chaotic System

LIU Zhen-Hua

journal6, 2008, 29(5): 39-41.

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It proposed one kind of image encryption algorithm according to the Lorenz chaotic system.The experiment showed that the algorithm has stronger resistance for the exhaustion,count attack,the known-plaintext attack.The security of the algorithm is high.

Technology for Distributing Streaming Media Content over P2P Network Based on Multi-Agent

WANG Xia

journal6, 2008, 29(5): 42-44.

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Technology for Distributing Streaming Media Content over P2P Network based on Multi-Agent is proposed,for solving finding of peer nodes and detecting of disabled peer nodes.Firstly,the study development of distributing streaming media content is introduced;then the model of distributing streaming media content over P2P based on Multi-Agent is proposed;finally,its foreground and challege are put forward.

New Extension of Complex Number Field and Their Physical Meaning

ZHANG Yi-Fang

journal6, 2008, 29(5): 45-48.

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Based on a brief review on developments of number system,a new developed pattern is proposed.The quaternion is extended to a matrix form aI+bA+cB+dC,in which the identity matrix I and three special matrices A,B,C correspond to number 1 and three units of imaginary number i,j,k,respectively.They form usually a ring,but some fields may be composed of three matrices aI+bA,aI+cB,aI+dC,and of some special 2-order,even n-order matrices.It is a new type of hypercomplex number fields.Finally,the possible physical meaning of the new number system is researched.

Stability Analysis and Control for a Class of Switched Systems with Time-Delay

WANG Lian-Gui, LI Sen

journal6, 2008, 29(5): 49-52.

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The problem of stability analysis and control for consisting of a class of multiple subsystem of switched systems with time-delay are studied,sufficient conditions of switched system asymptotic stability are given be using linear matrix inequality.Condition of asymptotic stability of the switched systems and design technique of the switch laws by using multiple lyapunov function were given.Design technique based on multiple Lyapunov Function can be expressed as linear matrix inequalities.The corresponding linear matrix inequalities based algorithms for determining stability bounds were derived.The switch laws and the maximum perturbation to ensure system stability can be calculated.The switched system consisting of multiple subsystems is simulated.The simulation results show effectiveness of the methods.

Fractal Dimension and Thermal Conductivity Model of Granular Powder Space in High Velocity Compaction

GU Cheng-Ling, QIN Xuan-Yun, ZHENG Zhou-Shun, CUI Cai-Hong

journal6, 2008, 29(5): 53-56.

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Based on the fractal theory,a formula of computing the fractal dimension of the granular powder space is deduced using the accumulated density,powder particles’density and density of the pore media.At the same time,with the method of equivalent resistance,a series fractal model referring to effective themal conductivity of powder dispersion’s space is established.In addition,a formula is given considering the heat radiation.Through the curves of the fractal dimension and effective thermal conductivity's formula,it is analysed that the packing density has the impact to fractal dimension and the fractal dimension and temperature have influence on the effective thermal conductivity.The results indicate that fractal dimension of granular powder space goes higher with packing density increasing and effective thermal conductivity decreases with fractal dimension and increases with temperature.

Vertex Coloring of a Graph Based on Genetic and Heuristics Search Algorithm

LIAO Hui-Chuan

journal6, 2008, 29(5): 57-60.

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Graph coloring is a typical NP-completely problem.This paper puts forward a new method of vertex coloring of a graph based on genetic algorithm and heuristics search algorithm.This algorithm involves the coding methods of chromosome,the design of fitness function and the selection operators.Experiments show that this new algorithm can improve time complexity and obtain solutions of excellent quality.

DCT-Based Image Compression Algorithm Technology and the Improvement

ZHAO Zhuan-Zheng

journal6, 2008, 29(5): 61-63.

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This paper mainly presents some improvements on computing discrete cosine transforms (DCT) and quantization part in the standard of JPEG image processing.Among these,the method of searching tables takes place of general DCT method for rasing the computation speed.In quantization part,the author use a vector quantization scheme based on simple and efficient “double test algorithm” instead of the general Euclidean distance vector searching algorithm,apparently speeding up the codebook searching speed.

Image Randomly Encryption Algorithm Based on Chaos Mapping

WANG Chao, HUANG Feng

journal6, 2008, 29(5): 64-67.

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A digital image encryption algorithm based on chaotic mapping is presented in this paper.The paper formulates the approach of the map，designs a method of key generation and analyses the security of the proposed image encryption.The simulation results show that the proposed encryption approach is valid.Analysis shows that the map can encrypt compressed images or arbitrary length of data sets.

Application of Improved Genetic Algorithms in the Distribution Network Reactive Power Optimization

YANG Yan-Ling, FENG Lin-Qiao, LIU Jin-Ling

journal6, 2008, 29(5): 68-71.

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This paper presents and comprehensive objective function considering network energy loss,node voltage level and investment reactive compensation equipment.Penalty function is considered to deal with variables violating the constraints.Its principal means is to regulate transformer rate and to parallel with capacitors.This paper implements reactive power optimization calculation based on above mathematical model by genetic algorithm,which has good algorithm efficiency and ability of global optimization.The method proposed in this paper is proved to be applicable and effective.

Calculation of Gear Corner Contact Meshing Impact Rate

TANG Qian-Peng, CHEN Yan

Journal of Jishou University(Natural Sciences Edition), 2008, 29(5): 72-74.

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Considering friction and error ,the model of gear pairs vibration is set up in this article.Ascertaining the equivalent point position of the starting point of corner contact on the meshing line,the radius from corner contact to gear center and computation of both of the gears’ load angle of the corner contact point ,it also proposes the calculating method of corner contact impact rate.

Preparation and Characterization of Cd-group Core/Shell Luminescent Composite Nanoparticles

CHEN Li-Hua, QIN Shi-Dong, PENG Gui-Cai, XIAO Guo-Dong

journal6, 2008, 29(5): 75-80.

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CdSe/ZnS，CdTe/ZnS and CdSexTe1-x/ZnS core/shell luminescent composite nano-particles were synthesized in the aqueous to coat ZnS on water-soluble CdSe，CdTe and CdSexTe1-x QD (Quantum Dots) core.The properties of the as-prepared nano-particles were characterized by fluorescence spectra and transmission electron microscopy (TEM).Fluorescence spectra were used to probe the effect of time and the quantity of stable reagent (mercaptoethylic acid) on the spectral characterization of core/shell nano-particles.

Characteristics of Evergreen Broad-Leaved Forest in Xiaoxi National Natural Reserve,Hunan Province and Its Ecological Significance

DENG Tao, ZHANG Dai-Gui, CHEN Gong-Xi

journal6, 2008, 29(5): 87-93.

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Xiaoxi National Natural Reserve of Hunan Province,located at the middle of Wulingshan Mountains in Central China,extending from 110°06′50″～110°21′35″ E and ,28°42′15″～28°53′15″N ,with an area 3 520 ha,is the one of well-protected typical evergreen broad-leaved forest in China.The preliminary results show that the evergreen broad-leaved forest of Xiaoxi,which mainly consists of Castanopsis tibetana forest,Cyclobalanopsis xiangxiensisi forest,Manglietia patungensis forest,Machilus lichuanensis forest,Castanopsis eyrei forest,Castanopsis fargesii,Schima superba forest and Lithocarpus xiangxiensisi forest,is a typical lower evergreen broad-leaved forest,because it possesses not only the general subtropical evergreen broad-leaved forest characteristics,but also the high hot -wet and tropical-temperate characteristics.It is favorable for biodiversity conservation and ecology-environmental maintenance.Xiaoxi evergreen broad-leaved forest is rich of species diversity,as well as the rare and endangered species,and the special ecological habitatenvironment of valleys,in which the species are bred and conserved.It is of important value and significance to study the subtropical evergreen broad-leaved forest in China or even in the whol
e world,expounding the mechanism of vegetation formation and evolution,specially the mechanism of species speciation,diversity and maintenance in valleys.

Investigation and Assessment of Water Quality Situation at Conservation Areas of Drinking Water in Xiangxi Autonomous Prefecture

PENG Qing-Hua, GUO Ping, ZENG Jing, ZHANG You-Xiang

journal6, 2008, 29(5): 94-98.

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The number, location and pollutant discharge amount of the sewage outlets were investigated at 9 conservation areas of drinking water in Xiangxi Autonomous Prefecture, and the data of 24 monitored indices for water quality at these regions were analysed and assessed with single pollution index. The results showed that there was a profusion of drinking water sources in these regions, and the water quality was also good in general. However, the water quality decreased obviously due to a large pollutant discharge.

Review of Agricultural Pollution and Preventive Technology in China

SUN Jiang-Li

journal6, 2008, 29(5): 99-103.

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Harms and canses of agricultural pollution are reviewed.The measures of utilizing green chemical technology are proposed,such as proper use of pesticide and chemical fertilizer,development of organic fertilizer,development of poisnonsless,effective and remainderless fertilzer,utilization of agricultural waste,construction of bio-park,and so on.

Preparation and Application of Periplaneta Fulignosa Imunized Rabbit Sera

WU Shi-Jun, WANG Shi-Ping, XU Shao-Rui, ZHONG Fei, LI Wen-Kai

journal6, 2008, 29(5): 104-107.

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Soluble protein antigens from different developmental stages of Periplaneta fuliginosa were used to immunize rabbits.The immunological characteristics of antigens from different stages of Periplaneta fuliginosa were analyzed with SDS-PAGE and enzyme-linked immuno-blotting (ELIB).Rabbits anti-sera against nymph and adult antigens were used to screen the cDNA library of Periplaneta Americana nymph,and the positive clones were identified by PCR.Results showed that the egg antigens,nympha antigens,male and female adult antigens revealed 13,28,26,41 bands,respectively.The results also showed that there were cross-reactive antigen components among these groups.One and 6 new genes were screened with nympha and adult antigen immunized rabbit sera,respectively.

Rational Analysis of Aerobics Valuse in China from the Perspective of Belly Dancing Development

SONG Cai-Zhen, ZHU Xiao-Hong

journal6, 2008, 29(5): 108-112.

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This article tries to give a rational analysis of relations between belly dance development and the rational rejuvenation of China’s national aerobics.The effective way of the rational rejuvenation is to optimize the movements and arrangements,to set up a three-dimensional popularizing model of schools,society and government,to absorb more quintessence of national culture,to enrich the structure and content system,to improve the system of government and organization,and to enhance the ability of self-organization.

Optimization for the Portfolio Selection Model Maximizing Utility with the Different Lending and Borrowing Rate

ZHANG Peng

journal6, 2008, 29(5): 113-120.

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Considering the expected rate of the return of the portfolio and its risk (variance),the author proposed a maximizing the utility portfolio selection model with risk-free asset,and importantly studied the situation in which the lending and borrowing rates of risk-free asset were different.Under short sales situation,using the Lagrange method and Sherman-morrison’s equation,the paper gets the optimal investing rate of every security and studies the efficient frontiers’ character.Under no short sales situation,the paper solves the model by the pivoting algorithm.The algorithm solves the quadric programming problem without adding slack,surplus and artificial variables.It is very efficient and easy to operate.At last,the paper compares the two models using an example and gets the result that risk preference coefficient with short sales and without short sales could reflect the investor’s expected rate of return and variance within the entire interval,and risk-free assets can create investment chance.

Research on the Tourism Development of Ancient Towns in the Western Hunan——From the Destination System’s Perspective

YANG Wei-Shu

journal6, 2008, 29(5): 121-125.

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Starting from the current tourism situation of the ancient towns,and applying the theory of tourism destination system,this paper analyses the current tourism situation of the four ancient towns in the western Hunan.Some measures are proposed to develop the tourism of the ancient towms in western Hunan,such as,the development of infrastructure,environmental governance with much cooperation,brand-building,the development of tourism cluster and integrating them into the “Three Gorges” tourism circle and the “big Xiang Xi” tourism circle.

Students’ Quality and Establishment of Harmonious Campus

LIU Li

journal6, 2008, 29(5): 126-128.

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The students are the genuine master of a school,and establishing harmonious campus should start with students.Supervising the students to control over themselves is the foundation of establishing harmonious campus,advocating the students’ bravery is the internal drive of establishing harmonious campus,and fostering the students’ wisdom is the golden key to establishing harmonious campus.

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