摘要：
In this paper, the oscillation for a class of impulsive delay parabolic partial differential equations is investigated. By using impulsive delay differential equation, necessary and sufficient conditions and sufficient conditions for oscillation of all solutions of the equations are obtained under Newman boundary condition.
作者机构：
[Luo, Liping; Luo, LP] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, 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：
Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
关键词：
H -oscillation;vector parabolic equation;neutral type;continuous distribution delay
摘要：
The oscillations of boundary value problems for a class of neutral vector parabolic partial differential equations with continuous distribution delay are investigated. To reduce the multi-dimensional oscillation problems to the nonexistence problems of positive solutions of one-dimensional functional differential inequalities by employing the concept of H -oscillation introduced by Domslak and the method of reducing dimension with inner product, some sufficient criteria for H -oscillation of all solutions of the boundary value problems are given, where H is a unit vector in R(m).
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：
Department of Mathematics, Hengyang Normal University, Hengyang, China;Department of Electrical and Electronic Engineering, The University of Hong Kong
会议名称：
第8届国际最优化方法及应用大会
会议时间：
2010-12-10
会议地点：
上海
会议论文集名称：
第8届国际最优化方法及应用大会论文集
关键词：
Reward-risk measure;Performance ratio;Min-max optimization,CVaR deviation;Allocation of generation asset
摘要：
In this paper, we study reward-risk ratio models under partial known message of random variables, which is called robust (worst-case) performance ratio problem. Based on the positive homogenous and concave/convex measures of reward and risk respectively, the new robust ratio model is reduced equivalently to convex optimization problems. Such model exhibits a mix-max optimization framework.
