期刊：
Nonlinear Analysis, Theory, Methods and Applications,2010年73(2):440-449 ISSN：0362-546X
通讯作者：
Sun, JT
作者机构：
[Yang, Liu; Chen, Haibo; Sun, Juntao] Department of Mathematics, Central South University, Changsha, 410075 Hunan, China;[Yang, Liu] Department of Mathematics, Hengyang Normal University, Hengyang, 421008 Hunan, China
通讯机构：
[Sun, Juntao] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
34B08;34B37;Impulsive differential equations;Boundary value problems;Critical points;Variational method;Local linking
期刊：
OSAKA JOURNAL OF MATHEMATICS,2009年46(4):1097-1141 ISSN：0030-6126
通讯作者：
Li, Liulan
作者机构：
[Xiantao Wang] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China.;[Ken'ichi Ohshika] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan.;[Liulan Li] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Li, Liulan] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
摘要：
In this paper, we generalise the first Klein-Maskit combination theorem to discrete groups of Mobius transformations in higher dimensions. The application of the main theorem is discussed in the last section.
期刊：
JOURNAL OF INEQUALITIES AND APPLICATIONS,2018年2018(1):324- ISSN：1029-242X
通讯作者：
Huang, Haiwu
作者机构：
[Xiongtao Wu; Haiwu Huang] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.;[Qingxia Zhang] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China.;[Haiwu Huang] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.
通讯机构：
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.
关键词：
ANA random variables;Complete convergence;Weighed sums;Equivalent conditions
摘要：
In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz-Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones.
作者：
Wu, Xiongtao;Tao, Wenyu;Chen, Yanping*;Zhu, Kai
期刊：
JOURNAL OF FUNCTION SPACES,2018年 ISSN：2314-8896
通讯作者：
Chen, Yanping
作者机构：
[Tao, Wenyu] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China.;[Chen, Yanping] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China.;[Zhu, Kai] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China.;[Wu, Xiongtao] Hengyang Normal Univ, Sch Math & Stat, Dept Math, Hengyang 421008, Peoples R China.
通讯机构：
[Chen, Yanping] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China.
摘要：
Let L=-div(A delta) be a second-order divergence form elliptic operator, where A is an accretive nxn matrix with bounded measurable complex coefficients in Rn. In this paper, we mainly establish the Lp boundedness for the commutators generated by bI(BMO) and the square function related to fractional differentiation for second-order elliptic operators.
作者机构：
[Haibo Chen; Liu Yang] Department of Mathematics, Central South University, Changsha, Hunan 410075, China;[Liu Yang] Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China
通讯机构：
[Chen, Haibo] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Riemann-Liouville differentiation;Fractional differential equation;Positive solution;Iterative schemes;Boundary value problem
关键词：
Improved ant colony optimization;improved Tabu search;vehicle routing problem;simultaneous pickups and deliveries;time window constraints
摘要：
A mixed integer programming mathematical formulation of vehicle routing problem with simultaneous pickups and deliveries, and time window constraints (VRP-SPDTW) is presented in this paper. The proposed model aims at minimizing the vehicle number and the overall travel cost. A novel two-stage hybrid metaheuristic method for VRP-SDPTW is also proposed. The first stage adopts improved ant colony optimization (TACO) to determine the minimum number of used vehicles. The second stage employs improved Tabu search to optimize the total travel cost, in which the initial solutions are obtained by TACO in the first stage. Experimental results demonstrate the effectiveness of the proposed metaheuristic method.
期刊：
Nonlinear Analysis, Theory, Methods and Applications,2011年74(2):413-423 ISSN：0362-546X
通讯作者：
Sun, J.(sunjuntao2008@163.com)
作者机构：
[Yang, Liu; Chen, Haibo; Sun, Juntao] Department of Mathematics, Central South University, Changsha, 410075 Hunan, China;[Yang, Liu] Department of Mathematics, Hengyang Normal University, Hengyang, 421008 Hunan, China
通讯机构：
[Sun, Juntao] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Asymptotically linear - Non-Linearity - Nonlinear SchrdingerPoisson system - Positive solution - Vanishing potential - Variational methods
摘要：
In this paper, we study the Schrodinger-Poisson system {-Delta u + V(x)u + lambda phi(x)u = K(x)f(u), in R(3), -Delta phi = u(2), u > 0, in R(3), (SP) and prove the existence of positive solutions for system (SP) when the nonlinearity f has growth at most linear for lambda small, allowing the potential V(x) to vanish at infinity. In addition, also we obtain the nonexistence of a nontrivial positive solution for lambda >= 1/4. (C) 2010 Elsevier Ltd. All rights reserved.
期刊：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY,2010年36(2):217-238 ISSN：1735-8515
通讯作者：
Wang, ZG
作者机构：
[Jiang, Y. -P.] Hunan Univ, Sch Math & Econometr, Changsha 410082, Hunan, Peoples R China.;[Wang, Z. -G.] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Wang, Z. -G.] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
摘要：
We introduce and investigate some new subclasses of close-to-convex and quasi-convex functions with respect to 2k-symmetric conjugate points. Such results as inclusion relationships, integral representations, convolution properties, integral-preserving properties, growth and covering theorems for these function classes are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.
期刊：
Journal of Systems Science and Complexity,2010年23(5):989-998 ISSN：1009-6124
通讯作者：
Tong, X.(tongxj@csust.edu.cn)
作者机构：
[Tong Xiaojiao] Department of Mathematics and Computing Science, Hengyang Normal University, Hengyang 421002, China;[Zhou Renjun] School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410014, China;[Luo Xiao] Department of Electrical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong;[Liu Chunping] Hebei Extra High Voltage Branch, Shijiazhuang 050070, China
通讯机构：
[Tong, Xiaojiao] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421002, Peoples R China.
会议名称：
3rd International Symposium on Optimization and Systems Biology
会议时间：
SEP 20-22, 2009
会议地点：
Chinese Acad Sci, Zhangjiajie, PEOPLES R CHINA
会议主办单位：
[Tong, Xiaojiao] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421002, Peoples R China.^[Liu, Chunping] Hebei Extra High Voltage Branch, Shijiazhuang 050070, Peoples R China.^[Luo, Xiao] Hong Kong Polytech Univ, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China.^[Zhou, Renjun] Changsha Univ Sci & Technol, Sch Elect & Informat Engn, Changsha 410014, Hunan, Peoples R China.
关键词：
Available transfer capability (ATC);smoothing newton method;static security;wind generation
摘要：
The approach of available transfer capability (denoted as ATC) incorporating wind generation has been paid very high attention since the development of wind generation. Based on the maximum function, this paper presents an ATC model. The characteristic of the new model is twofold. First, it considers wind turbines connected to power system and static security of power system simultaneously. Second, it is a system of semismooth equations and can be solved easily. By using the smoothing strategy, a smoothing Newton method is adopted for solving the proposed new ATC model. Numerical simulation results of the IEEE 30-bus and 118-bus system show that the new model and algorithm are feasible and effective. The impact of wind turbines connected to power system on ATC is also analyzed.
作者机构：
[Yang, Xiaoxia; Yang, Liu; Chen, Haibo] Department of Mathematics, Central South University, Changsha, Hunan 410075, China;[Yang, Liu] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, China
通讯机构：
[Chen, Haibo] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
摘要：
For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which we prove that the derivative has ultra-convergence of order O(h (k+3)) (k a (c) 3/4 3 being odd) and displacement has order of O(h (k+4)) (k a (c) 3/4 4 being even) at the locally symmetry points.
期刊：
Applied Mathematics and Computation,2010年216(1):192-204 ISSN：0096-3003
通讯作者：
Wang, Z.-G.(zhigangwang@foxmail.com)
作者机构：
[Acu, Mugur] Department of Mathematics, Lucian Blaga University of Sibiu, 5-7 Ion Ratiu Street, Sibiu, 550012, Romania;[Wang, Zhi-Gang] Department of Mathematics and Computing Science, Hengyang Normal University, Hengyang, 421008 Hunan, China;[Xu, Neng] Department of Mathematics, Changshu Institute of Science and Technology, Changshu 215500 Jiangsu, China
通讯机构：
[Wang, Zhi-Gang] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China.
摘要：
By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
期刊：
Central European Journal of Mathematics,2008年6(4):568-575 ISSN：1895-1074
通讯作者：
Yang Zhifeng
作者机构：
[Yang Zhifeng; Yang, ZF] Hengyang Normal Univ, Dept Math, Hengyang Hunan 421008, Peoples R China.
通讯机构：
[Yang Zhifeng] Hengyang Normal Univ, Dept Math, Hengyang Hunan 421008, Peoples R China.
关键词：
viscoelastic equation;initial boundary value problem;blow-up;life-span
摘要：
The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.
期刊：
Advances in Difference Equations,2011年2011(1):404917- ISSN：1687-1847
通讯作者：
Yang, L
作者机构：
[Chen, Haibo; Yang, Liu] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.;[Yang, Liu] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Yang, Liu] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
摘要：
We study a nonlocal boundary value problem of impulsive fractional differential equations. By means of a fixed point theorem due to O'Regan, we establish sufficient conditions for the existence of at least one solution of the problem. For the illustration of the main result, an example is given.
作者机构：
[Peng, Guojun; Peng, GJ] Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
通讯机构：
[Peng, Guojun] Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
关键词：
fractional order;chaos;synchronization
摘要：
The chaotic dynamics of fractional order systems have attracted much attentions recently. In this Letter, we study the synchronization of the fractional order chaotic systems with a unidirectional linear error feedback coupling. The numerical results show that the fractional order chaotic systems can also be synchronized. (C) 2006 Elsevier B.V. All rights reserved.
期刊：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2014年65(5):885-903 ISSN：0044-2275
通讯作者：
Yang, Zhifeng
作者机构：
[Dai, Qiuyi; Yang, Zhifeng] College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, China;[Yang, Zhifeng] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan, China
通讯机构：
[Dai, Qiuyi] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China.
关键词：
35L05 - 35L20 - 35L70 - 93D15 - Exponential decay of the solutions - Exponential decays - Global existence - Initial-boundary value problems
期刊：
Complex Variables and Elliptic Equations,2013年58(12):1647-1653 ISSN：1747-6933
通讯作者：
Saminathan Ponnusamy
作者机构：
[Liulan Li] Department of Mathematics and Computational Science , Hengyang Normal University , Hengyang , Hunan 421008 , People's Republic of China;[Saminathan Ponnusamy] Department of Mathematics , Indian Institute of Technology Madras , Chennai 600 036 , India
通讯机构：
[Ponnusamy, Saminathan] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India.;Department of Mathematics , Indian Institute of Technology Madras , Chennai 600 036 , India
摘要：
The convolution of two univalent harmonic mappings of the unit disc onto convex domains is not necessarily univalent. Dorff, Nowak and Wołoszkiewicz formulated an open problem concerning the convolution of two right half-plane mappings when one of them is fixed. In this article we solve this open problem.
期刊：
Nonlinear Analysis, Theory, Methods and Applications,2011年74(17):6459-6468 ISSN：0362-546X
通讯作者：
Chen, H.(mathchb@mail.csu.edu.cn)
作者机构：
[Sun, Juntao; Yang, Liu; Chen, Haibo] Department of Mathematics, Central South University, Changsha, 410075 Hunan, China;[Yang, Liu] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, 421008 Hunan, China
通讯机构：
[Chen, Haibo] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
关键词：
Homoclinic solutions;Hamiltonian systems;Fountain theorem;Critical point
期刊：
Applied Mathematics and Computation,2015年266:539-559 ISSN：0096-3003
通讯作者：
Li, Xiaoyue
作者机构：
[Ouyang, Mengqian] School of Mathematics and Statistics, Hengyang Normal University, Hengyang, China;[Ouyang, Mengqian; Li, Xiaoyue] School of Mathematics and Statistics, Northeast Normal University, Changchun, China
通讯机构：
[Li, Xiaoyue] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China.
