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
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
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.
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：
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.
关键词：
Fourth-order differential systems;Solution generated from a boundary condition;Critical point
摘要：
In the article, the variational iteration algorithm LFVIA-II is implemented to solve the diffusion equation occurring in non-differentiable heat transfer. The operators take in sense of the local fractional operators. The obtained results show the fractal behaviors of heat transfer with non-differentiability.
作者机构：
[Chen, Shaolin] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.;[Su, Zhenhua] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China.
通讯机构：
[Chen, Shaolin] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
会议名称：
International Conference Geometric Function Theory
会议时间：
OCT 23-24, 2013
会议地点：
Univ Belgrade, Fac Math, Belgrade, SERBIA
会议主办单位：
[Chen, Shaolin] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.^[Su, Zhenhua] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China.
关键词：
Hardy-Littlewood type theorem;majorant;hyperbolic harmonic function
摘要：
In this paper, we first show that a result of Girela et al. on analytic functions can be extended to hyperbolic-harmonic functions, and then we establish Hardy-Littlewood-type theorems on hyperbolic harmonic functions.
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：
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.
期刊：
Complex Variables and Elliptic Equations,2013年58(12):1647-1653 ISSN：1747-6933
通讯作者：
Ponnusamy, Saminathan
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.
作者机构：
[Liu, Zhisu; Ouyang, Zigen] School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001, China;[Yang, Liu] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, Hunan, 421008, China
通讯机构：
[Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
Multiplicity;Kirchhoff type equation;Critical growth
摘要：
In this paper, we study the following Kirchhoff type equation with critical growth {-(a + b integral(Omega) vertical bar del u vertical bar(2)dx) del u = lambda u + mu vertical bar u vertical bar(2)u + vertical bar u vertical bar(4)u in Omega, u = 0 on partial derivative Omega, where a > 0, b >= 0 and Omega is a smooth bounded domain in R-3. When the real parameter mu is larger than some positive constant, we investigate the multiplicity of nontrivial solutions for the above problem with parameter lambda belonging to a left neighborhood of the Dirichlet eigenvalue of the Laplacian operator -Delta. (C) 2016 Elsevier Ltd. All rights reserved.
作者机构：
[Cata, Adriana] Department of Mathematics, University of Oradea, Str. Universitaii, No. 1, Romania;[Wang, Zhi-Gang] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008, Hunan, China;[Liu, Zhi-Hong] Department of Mathematics, Honghe University, Mengzi 661100, Yunnan, China
通讯机构：
[Wang, Zhi-Gang] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
作者机构：
[Chen, Shaolin] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.;[Ponnusamy, Saminathan] Chennai Ctr SETS, Indian Stat Inst, MGR Knowledge City, Madras 600113, Tamil Nadu, India.;[Rasila, Antti] Aalto Univ, Dept Math & Syst Anal, Aalto 00076, Finland.
关键词：
Majorant;Bloch space;Hardy space;Lipschitz space
摘要：
In this paper, we establish a Bloch-type growth theorem for generalized Bloch-type spaces and discuss relationships between Dirichlet-type spaces and Hardy-type spaces on certain classes of complex-valued functions. Then we present some applications to non-homogeneous Yukawa PDEs. We also consider some properties of the Lipschitz-type spaces on certain classes of complex-valued functions. Finally, we will study a class of composition operators on these spaces.
期刊：
Computers and Mathematics with Applications,2016年72(6):1629-1640 ISSN：0898-1221
通讯作者：
Liu, ZS
作者机构：
[Liu, Zhisu] School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001, China;[Yang, Liu] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, Hunan, 421008, China;[Yang, Liu] Department of Mathematics, Hunan University, Changsha, Hunan, 410075, China
通讯机构：
[Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
期刊：
Proceedings of the Indian Academy of Sciences: Mathematical Sciences,2012年122(4):583-595 ISSN：0253-4142
通讯作者：
Wang, X.(xtwang@hunnu.edu.cn)
作者机构：
[Wang, X.; Chen, S.] Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China;[Ponnusamy, S.] Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India;[Chen, S.] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, China
通讯机构：
[Wang, X.] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China.
作者机构：
[Wang, Yanqun; Huang, Lihong] College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China;[Huang, Lihong] Hunan Women's University, Changsha, Hunan, China;[Wang, Yanqun] Department of Mathematics and Computing Sciences, Hengyang Normal University, Hengyang, Hunan, China
通讯机构：
[Huang, Lihong] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China.
关键词：
Competitive neural networks;Mixed time-varying delays;Discontinuous activation;Global exponential stability;Convergence in finite time
摘要：
In this paper, the global stability has been investigated for a novel class of competitive neural networks with mixed time delays and discontinuous activations. Without presuming the boundedness of activation functions, we draw two set of sufficient conditions ensuring the existence, uniqueness of the equilibrium, global exponential asymptotic stability of the solution and the associated output of the solution converging to the output equilibrium point in measure, by linear matrix inequality, M-matrix, Leray-Schauder alternative theorem in multivalued analysis, general Lyapunov method, topological degree theory of set-valued map. Meanwhile, we present a result on the global convergence in finite time of given neural networks. The results in the literature are generalized and significantly improved. Finally, one example and simulations are presented to demonstrate the effectiveness of the theoretical results. (C) 2014 Elsevier B.V. All rights reserved.
