作者机构：
[刘燕; 杨洁] School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;[李龙] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008, China;[刘燕] School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China
通讯机构：
[Liu, Y.] S;School of Mathematical Sciences, Dalian University of Technology, China
摘要：
In this paper, we investigate the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems. By using fountain theorem due to Zou, we obtain two new criteria for guaranteeing that second order Hamiltonian systems have infinitely many homoclinic solutions. Recent results in the literature are generalized and significantly improved.
作者机构：
[罗李平] Department of Mathematics and Computational Science, Hengyang Normal University, Hunan Hengyang 421008, China;[俞元洪] Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China
通讯机构：
Department of Mathematics and Computational Science, Hengyang Normal University, China
期刊：
Journal of Applied Mathematics and Computing,2011年35(1-2):323-340 ISSN：1598-5865
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, Hunan 410075, China;[Yang, Liu] Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China
通讯机构：
[Juntao Sun] D;Department of Mathematics, Central South University, Changsha, People’s Republic of China
关键词：
Boundary value problems;Critical points;Impulsive differential equations;Variational methods
摘要：
Many dynamical systems have impulsive dynamical behaviors due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations. In this paper, we study the existence and multiplicity of solutions for fourth-order impulsive differential equations. By using the variational methods and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one nontrivial solution, infinitely many distinct solutions under some different conditions, respectively. Some examples are given in this paper to illustrate the feasibilities of our main results.
作者机构：
[童小娇] Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421002, China;[童小娇; 周任军] College of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410114, China;[童小娇; 贺恩锋] College of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha 410114, China
通讯机构：
Department of Mathematics and Computational Science, Hengyang Normal University, China
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.
作者机构：
[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.
通讯机构：
[Tong, Xiaojiao] H;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：
Chinese Acad Sci
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：
[王智慧] Department of Mathematics, Shaoyang University, Shaoyang 422004, China;[欧阳自根] Department of Mathematics, Nanhua University, Hengyang 421001, China;[罗李平] Department of Mathematics, Hengyang Normal University, Hengyang 421008, China
作者机构：
[肖娟] Department of Mathematics, Hengyang Normal University, Hengyang 421008, China;[肖娟; 罗治国] College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China
