期刊：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2016年36(2):731-762 ISSN：1078-0947
通讯作者：
He, Yi
作者机构：
[He, Yi] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[He, Yi] C;Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
会议名称：
2013 Workshop on Variational Problems and Evolution Equations
摘要：
We study the existence, concentration and multiplicity of weak solutions to the
quasilinear Schrödinger equation with critical Sobolev growth
\begin{equation*}
\left\{ \begin{gathered}
- {\varepsilon ^2}\Delta u + V(x)u - {\varepsilon ^2}\Delta (u^2)u = W(x){u^{q - 1}} + {u^{2\cdot{2^*} - 1}} {\text{ in }}{\mathbb{R}^N},\\
u > 0{\text{ in }}{\mathbb{R}^N},\\
\end{gathered} \right.
\end{equation*}
where $\varepsilon $ is a small positive parameter, $N \ge 3$, ${2^ * } = \frac{{2N}}
{{N - 2}}$, $4 < q < 2 \cdot {2^ * }$, $\min V > 0$ and $\inf W > 0$. Under proper assumptions, we obtain the existence and concentration phenomena of soliton solutions of the above problem. With minimax theorems and Ljusternik-Schnirelmann theory, we also obtain multiple soliton solutions by employing the topology of the set where the potentials $V(x)$ attains its minimum and $W(x)$ attains its maximum.
期刊：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2016年36(2):683-699 ISSN：1078-0947
通讯作者：
Deng, Yinbin
作者机构：
[Deng, Yinbin; Shuai, Wei] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.;[Li, Yi] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA.
通讯机构：
[Deng, Yinbin] H;Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
会议名称：
2013 Workshop on Variational Problems and Evolution Equations
会议时间：
JUL 22-25, 2013
会议地点：
Xiamen Univ, Xiamen, PEOPLES R CHINA
会议主办单位：
Xiamen Univ
关键词：
p-Laplacain type equations;weighted Sobolev space;critical growth;variational method.;vanishing potential
摘要：
In this paper, we study the existence of positive
solution for the following p-Laplacain type equations with critical nonlinearity
\begin{equation*}
\left\{
\renewcommand{\arraystretch}{1.25}
\begin{array}{ll}
-\Delta_p u + V （x)|u|^{p-2}u = K(x)f(u)+P(x)|u|^{p^*-2}u, \quad
x\in\mathbb{R}^N,\\
u \in \mathcal{D}^{1,p}(\mathbb{R}^N),
\end{array}
\right.
\end{equation*}
where $\Delta_p u = div(|\nabla u|^{p-2} \nabla u),\ 1 < p < N,\ p^* =\frac
{Np}{N-p}$, $V(x)$, $K(x)$ are positive continuous functions which vanish at
infinity, $f$ is a function with a subcritical growth, and $P(x)$ is a bounded,
nonnegative continuous function.
By working in the weighted Sobolev spaces, and using variational method, we
prove that the given problem has at least one positive solution.
期刊：
Lecture Notes in Computer Science,2015年9301:245-259 ISSN：0302-9743
通讯作者：
Jin, Kai
作者机构：
[Jin, Kai] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.;[Cheng, Jin-San; Gao, Xiao-Shan] Chinese Acad Sci, AMSS, Key Lab Math Mech, Beijing, Peoples R China.
通讯机构：
[Jin, Kai] C;Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.
会议名称：
17th International Workshop on Computer Algebra in Scientific Computing (CASC)
会议时间：
SEP 14-18, 2015
会议地点：
Aachen, GERMANY
会议主办单位：
[Jin, Kai] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China.^[Cheng, Jin-San;Gao, Xiao-Shan] Chinese Acad Sci, AMSS, Key Lab Math Mech, Beijing, Peoples R China.
期刊：
Springer Proceedings in Mathematics and Statistics,2015年150:15-35 ISSN：2194-1009
通讯作者：
Fan, Aihua
作者机构：
[Fan, Aihua] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Fan, Aihua] Univ Picardie, CNRS, UMR 7352, LAMFA, F-80039 Amiens, France.
通讯机构：
[Fan, Aihua] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
会议名称：
20th International Conference on Difference Equations and Applications (ICDEA)
会议时间：
JUL 21-25, 2014
会议地点：
Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, PEOPLES R CHINA
会议主办单位：
Chinese Acad Sci, Wuhan Inst Phys & Math
会议论文集名称：
Springer Proceedings in Mathematics & Statistics
关键词：
Local fields;Spectral set;Tiling set;Fuglede conjecture
摘要：
With the rapid development of air transportation industry, the efficient arrangement scheme of the aircrew problem is becoming more and more important. This paper solves the aircrew problem by 0-1 integer programming model and genetic algorithm model. Especially it puts forward the suitable genetic operations to solve the the problem of group cross, group mutation and evolutionary cycle. In addition, according to different sizes of personnel issues, we set up the above two models and solve the models respectively by Lingo and Matlab programming. According to the analysis, we find that it is high efficiency to use integer programming to solve small personnel problem, and can find the global optimal solution in a short period of time, but it takes much time when faced with massive problems. However the calculated time does not significantly increase with the increasing scale of problem by the genetic algorithm, which explains the genetic algorithm has high efficiency for this problem, especially in solving large-scale of the aircrew problems.
期刊：
MATERIAL SCIENCE, CIVIL ENGINEERING AND ARCHITECTURE SCIENCE, MECHANICAL ENGINEERING AND MANUFACTURING TECHNOLOGY II,2014年651-653:2241-2244 ISSN：1662-7482
通讯作者：
Yu, Ying
作者机构：
[Zou, Xianglin; Yu, Ying] Cent China Normal Univ, Sch Comp Sci, Wuhan, Hubei Province, Peoples R China.;[Dong, Cailin] Cent China Normal Univ, Sch Math, Wuhan, Hubei Province, Peoples R China.
通讯机构：
[Yu, Ying] C;Cent China Normal Univ, Sch Comp Sci, Wuhan, Hubei Province, Peoples R China.
会议名称：
3rd International Conference on Advanced Engineering Materials and Architecture Science (ICAEMAS)
会议时间：
JUL 26-27, 2014
会议地点：
Huhhot, PEOPLES R CHINA
会议主办单位：
[Yu, Ying;Zou, Xianglin] Cent China Normal Univ, Sch Comp Sci, Wuhan, Hubei Province, Peoples R China.^[Dong, Cailin] Cent China Normal Univ, Sch Math, Wuhan, Hubei Province, Peoples R China.
摘要：
With the aim to meet the requirements of multi-directional choice, the paper raise a new approach to the invariant feature extraction of handwritten Chinese characters, with ridgelet transform as its foundation. First of all, the original images will be rotated to the Radon circular shift by means of Radon transform. On the basis of the characteristic that Fourier transform is row shift invariant, then, the one-dimensional Fourier transform will be adopted in the Radon domain to gain the conclusion that magnitude matrixes bear the rotation-invariance as a typical feature, which is pretty beneficial to the invariant feature extraction of rotation. When such is done, one-dimensional wavelet transform will be carried out in the direction of rows, thus achieving perfect choice of frequency, which makes it possible to extract the features of sub-line in the appropriate frequencies. Finally, the average values, standard deviations and the energy values will form the feature vector which is extracted from the ridgelet sub-bands. The approaches mentioned in the paper could satisfy the requirements from the form automatic processing on the recognition of handwritten Chinese characters.
会议名称：
7th International Joint Conference on Computational Sciences and Optimization (CSO)
会议时间：
JUL 04-06, 2014
会议地点：
Beijing, PEOPLES R CHINA
会议主办单位：
[Liang, Changzhi;Zhu, Xiaoqian] Univ Chinese Acad Sci, Sch Management, Beijing 100190, Peoples R China.^[Yao, Yanzhen] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.^[Li, Jianping] Chinese Acad Sci, Inst Policy & Management, Beijing 100190, Peoples R China.
会议论文集名称：
International Joint Conference on Computational Sciences and Optimization
关键词：
maximum entropy method;transfer entropy method;interbank exposure matrix
摘要：
Maximum entropy method (MEM) is the traditional approach to estimate interbank exposure matrix, which is the key to assess contagion effect in banking system. Recently, a new transfer entropy method (TEM) is proposed to estimate interbank exposure matrix. This paper employs the two approaches to estimate interbank exposure matrix of Chinese banking system, and then simulate the contagion process given the initial failure of a bank in the system. The comparison of the results indicate that MEM is consistent with TEM when it comes to general and qualitative features of Chinese banking system; while the differences begin to emerge when it comes to the exact and quantitative features of Chinese banking system.
摘要：
According to the characteristics of fuel transportation problem, the traditional genetic algorithm model is improved in this paper. The complexity of encoding is simplified by considering the condition of putting the distances of the tanker going halfway back and forth into the objective function. Scanning method is used to generate the initial population improving the quality of chromosomes in the initial population. Adopting the way of "interval crossover, random replacement" ensures the effectiveness and randomness of the crossover. Adding the operation of evolutionary cycle after crossover and mutation operation enhances the local search ability of the algorithm. Finally through MATLAB programming, the traditional genetic algorithm, the scanning genetic algorithm and the evolutionary cycle genetic algorithm and the improved genetic algorithm are compared which further verifies that the improved genetic algorithm is effective.
摘要：
Barrier coverage based on Wireless Sensor Networks (WSNs) has been widely used to prevent intruder trespassing in monitoring systems. Traditionally, enabling perfect barrier coverage is considered the most important goal of barrier coverage studies. Imperfect coverage has been deemed to be a failure. In our research, we attempted to use the redundant sensor nodes in WSNs to prolong the optimal network lifetime of barrier coverage by adding imperfect barrier coverage. Specifically, we devised two schemes, CIBC-1 and CIBC-2, to construct imperfect barrier coverage in order to improve the performance of the existing optimal network lifetime scheduling algorithms for barrier coverage. Our simulation results indicate that our schemes can significantly extend the network lifetime resulting from the state-of-the-art network lifetime scheduling algorithms.
期刊：
Linear Algebra and its Applications,2012年436(12):4400-4411 ISSN：0024-3795
通讯作者：
Li, Shuchao
作者机构：
[Zhang, Minjie; Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Zhang, Minjie] Huangshi Inst Technol, Fac Math & Phys, Huangshi 435003, Peoples R China.
通讯机构：
[Li, Shuchao] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
会议名称：
Workshop on Theory and Applications of Matrices Described by Patterns
会议时间：
JAN 31-FEB 05, 2010
会议地点：
Banff, CANADA
会议主办单位：
[Li, Shuchao;Zhang, Minjie] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.^[Zhang, Minjie] Huangshi Inst Technol, Fac Math & Phys, Huangshi 435003, Peoples R China.
作者机构：
[Shen, Jing] Naval Univ Engn, Sch Sci, Wuhan 430033, Hubei, Peoples R China.;[Fan, Yun] Cent China Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China.
会议名称：
IEEE 5th International Conference on Advanced Computational Intelligence (ICACI)
会议时间：
OCT 18-20, 2012
会议地点：
Nanjing, PEOPLES R CHINA
会议主办单位：
[Shen, Jing] Naval Univ Engn, Sch Sci, Wuhan 430033, Hubei, Peoples R China.^[Fan, Yun] Cent China Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China.
摘要：
This paper exhibits a distinguishing algorithmic feature of a phase transition point of a random system I of m linear equations over a finite field with n variables: the complexity of Gaussian elimination for testing satisfiability of the systems approaches maximum at the satisfiability threshold point m/n = 1, and the worst instances should be found at the point. It is very interesting that the algorithm exactly undergoes an easy/hard transition at the satisfiability threshold point.
作者机构：
[Chen, Guantao] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA.;[Hu, Zhiquan] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Li, Hao] Univ Paris Sud, LRI, UMR CNRS UPS 8623, F-91405 Orsay, France.
通讯机构：
[Chen, Guantao] G;Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA.
会议名称：
8th French Combinatorial Conference (FCC)
会议时间：
JUN 28-JUL 02, 2010
会议地点：
Orsay, FRANCE
会议主办单位：
[Chen, Guantao] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA.^[Hu, Zhiquan] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.^[Li, Hao] Univ Paris Sud, LRI, UMR CNRS UPS 8623, F-91405 Orsay, France.
关键词：
Cycle;Path;Degree;Toughness;Connectivity
摘要：
A path in a graph is called extendable if it is a proper subpath of another path. A graph is locally connected if every neighborhood induces a connected subgraph. We show that, for each graph G of order n, there exists a threshold number s such that every path of order smaller than s is extendable and there exists a non-extendable path of order t for each t is an element of {s, ... , n - 1} if G satisfies any one of the following three conditions: the degree sum d(u) + d(nu) >= n for any two nonadjacent vertices u and nu; P-4-free and omega(G - S) <= vertical bar S vertical bar for every cut set S of G: connected, locally connected, and K-1.3-free where P-4 and K-1,K-3 denote a path of order 4 and a complete bipartite graph with 1 and 3 vertices in each color class, respectively. (C) 2011 Elsevier B.V. All rights reserved.
会议名称：
IEEE international conference on emergency management and management sciences
会议时间：
2012-08-10
会议地点：
Beijing(CN)
会议主办单位：
[Yang Shi-da;Shan Zhi-yong] Wuhan Univ Sci & Technol, Coll Comp Sci & Technol, Wuhan 430072, Hubei, Peoples R China.^[Yi Ya-lin] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.^[Shan Zhi-yong] Donghua Univ, Coll Informat Sci & Technol, Shanghai 200051, Peoples R China.
会议论文集名称：
Proceedings of 2012 IEEE 3rd international conference on emergency management and management sciences
关键词：
artificial chemical reaction optimization algorithm;Numerical optimization
摘要：
Chemical reaction(ACR) optimization algorithm invented recently by Bilal Alatas is a heuristics algorithm. However, there is still an insufficiency in ACR algorithm regarding its solution search equation, which is good at exploration but poor at exploitation. Inspired by Particle swarm optimization, we propose an improved ACR algorithm called gbest-guided ACR (GACR) algorithm by incorporating the information of global best (gbest) solution into the solution search equation to improve the exploitation. The experimental results tested on a set of numerical benchmark functions show that GACR algorithm can outperform ACR algorithm in most of the experiments
摘要：
This paper introduces a novel feature matching algorithm using both Image interpolating method and edge detecting method to make feature matching more precise. The proposed feature matching is composed of four elements: inputting data, interpolating method, features extracting and matching. At first, the tasks in human anatomy and the method to input slices data are introduced. Secondly, we propose a novel slices matching using image interpolating method and edge detecting method. Experimental results demonstrate that the proposed approach owns the properties both quickly and exactly. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of ICAE2011.
作者机构：
[He, Sui; Wang, Fen; Zuo, Guoxin] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
会议名称：
International Symposium on Statistics and Management Science 2010
会议时间：
OCT 29-31, 2010
会议地点：
Nanjing, PEOPLES R CHINA
会议主办单位：
[He, Sui;Wang, Fen;Zuo, Guoxin] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
accelerated failure time;model checking;counting process;clustered recurrent event data
摘要：
In this article, we present a natural extension of accelerated failure time model for survival data to formulate the effects of covariates on the mean function of the counting process for Clustered Recurrent event data. For the inference on the unknown model parameter, generalized estimating equation methods are developed. Based on modern empirical process theory, the consistency and asymptotic normality properties of the proposed estimators are proved.
关键词：
energy loss of particles;proton scattering;quark-gluon plasma;hadrons
摘要：
With the initial conditions in the chemical non‐equilibrated medium and Bjorken expanding medium at RHIC, we investigate the consequence for parton evolution. With considering the parton equilibration, we obtain the time dependence of the opacity when the jet propagates through the QGP medium. The parton equilibration affect the jet energy loss with detailed balance evidently. Both parton energy loss from stimulated emission in the chemical non‐equilibrated expanding medium and in Bjorken expanding medium are linear dependent on the propagating distance rather than square dependent in the static medium. This will increase the energy and propagating distance dependence of the parton energy loss.
作者机构：
[Zhang, Xinan; Ma, Lianhua; Yang, Cuihong] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
会议名称：
7th Conference on Biological Dynamic System and Stability of Differential Equation
会议时间：
MAY 14-16, 2010
会议地点：
Chongqing, PEOPLES R CHINA
会议主办单位：
[Yang, Cuihong;Ma, Lianhua;Zhang, Xinan] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Limit cycle;invariant cone;vector field
摘要：
In this paper, we have found a bridge between a class of cubic vector fields in R-3 and the tangent vector fields of two-dimensional manifold S-2, and have proved the existence of at least 5 isolated closed orbits for a class of cubic system in R-3, which are located on the five invariant closed cones of the system.
作者机构：
[Cheng, Luan] Huazhong Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.;[Wang, Enke; Cheng, Luan] Huazhong Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.
通讯机构：
[Cheng, Luan] H;Huazhong Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.
会议名称：
10th International Conference on Nucleus-Nucleus Collisions (NN2009)
会议时间：
AUG 16-21, 2009
会议地点：
Beijing, PEOPLES R CHINA
会议主办单位：
[Cheng, Luan] Huazhong Normal Univ, Coll Math & Stat, Wuhan 430079, Peoples R China.^[Cheng, Luan;Wang, Enke] Huazhong Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.
摘要：
We report the evolution effects on jet energy loss with detailed balance. The initial conditions and parton evolution based on perturbative QCD in the chemical non-equilibrated medium and Bjorken expanding medium at RHIC are determined. The parton evolution affect the jet energy loss evidently. This will increase the energy and propagating distance dependence of the parton energy loss and will affect the shape of suppression of moderately high P_{T} hadron spectra. Comment: 4 pages, 2 figures, procedding of NN2009
期刊：
PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON PRODUCT INNOVATION MANAGEMENT, VOLS I AND II,2009年:1284-1288
作者机构：
[Lan, Wang] Hua Zhong Normal Univ, Sch Math & Stat, Wuhan 430070, Peoples R China.
会议名称：
4th International Conference on Productinnovation Management(第四届产品创新管理国际会议)
会议时间：
2009-08-22
会议地点：
武汉
会议论文集名称：
4th International Conference on Productinnovation Management(第四届产品创新管理国际会议)论文集
关键词：
business combination;pooling of interest method;purchase method
摘要：
This paper, based on reviewing the relevant documents, studies the financial effects of purchase method and pooling of interest method via analyzing and comparing the two methods with correlated cases. It comes to the conclusion that the reason for the disparate financial effects lies in the inconsistent valuation basis for assets and liabilities. Aiming at the special financing and regulatory environment in our nation, this paper points out that it's crucia l to handle the restrictions on the employment of pooling of interest method and to consider the recognition criteria of purchasers in using purchase method. Finally the paper puts forward a prospect for the new subject law in the applicat ion of the business combination in our nation.
