期刊：
Results in Mathematics,2024年79(2) ISSN：1422-6383
通讯作者：
Chen, SL
作者机构：
[Chen, Shaolin; Chen, SL] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.;[Chen, Shaolin; Chen, SL] Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Peoples R China.;[Hamada, Hidetaka] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai 2 Chome,Higashi Ku, Fukuoka 8138503, Japan.
通讯机构：
[Chen, SL ] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Peoples R China.
关键词：
Bloch type space;complex-valued harmonic function;composition operator;hardy space;pluriharmonic functions
摘要：
The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general doubling weights to study the composition operators from harmonic Bloch type spaces on the unit disc D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {D}}$$\end{document} to pluriharmonic Hardy spaces on the Euclidean unit ball Bn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {B}}<^>n$$\end{document}. Furthermore, we develop some new methods to study the composition operators from harmonic Bloch type spaces on D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {D}}$$\end{document} to pluriharmonic Bloch type spaces on D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {D}}$$\end{document}. Additionally, some application to new characterizations of the composition operators between pluriharmonic Lipschitz type spaces to be bounded or compact will be presented. The obtained results of this paper provide the improvements and extensions of the corresponding known results.
摘要：
Conjugate gradient methods can be used with advantages such as fast convergence and low memory requirement in real applications. A conjugate gradient-based neuro-fuzzy learning algorithm for zero-order Takagi-Sugeno inference systems is proposed in this paper. Compared with the existing gradient-based algorithm, this method enhances the learning performance.
作者机构：
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421008, Hunan, Peoples R China.;[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.;[Ponnusamy, Saminathan] IST, Chennai Ctr, 110 Nelson Manickam Rd, Madras 600029, Tamil Nadu, India.
通讯机构：
[Liu, Gang] H;Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421008, Hunan, Peoples R China.
会议名称：
7th International Conference on Complex Analysis and Dynamical Systems (CA&DS VII)
会议时间：
MAY 10-15, 2015
会议地点：
Nahariya, ISRAEL
会议主办单位：
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421008, Hunan, Peoples R China.^[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.^[Ponnusamy, Saminathan] IST, Chennai Ctr, 110 Nelson Manickam Rd, Madras 600029, Tamil Nadu, India.
会议论文集名称：
Contemporary Mathematics
关键词：
Analytic;anti-analytic;harmonic;biharmonic;p-harmonic;polyharmonic and composition
摘要：
The paper is devoted to the study of compositions of polyharmonic mappings in simply connected domains. More precisely, we determine necessary and sufficient conditions of polyharmonic mapping $f$ such that $f\circ F$ (resp. $F\circ f$) is $l$-harmonic for any analytic function (or harmonic mapping but not analytic, or $q$-harmonic mapping but not $(q-1)$-harmonic) $F$.
摘要：
In this paper, by constructing a generalized Armijo search method, a novel conjugate gradient (CG) model has been proposed to training a common three-layer backpropagation (BP) neural network. Compared with the classical gradient descent method, this algorithm efficiently accelerates the convergence speed due to the existence of the additional conjugate direction. Essentially, the optimal learning rate of each epoch is determined by the given inexact line search strategy. The presented model does not significantly increase the computational cost in dealing with real applications. Two benchmark simulations have been performed to illustrate the promising advantages of the proposed algorithm.
作者机构：
[Zeng, Y. H.] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.
会议名称：
International Conference on Software Engineering and Information Technology (SEIT)
会议时间：
JUN 26-28, 2015
会议地点：
Guilin, PEOPLES R CHINA
会议主办单位：
[Zeng, Y. H.] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.
关键词：
Even order;Distributed deviating arguments;Neutral;Half-linear;Oscillation
摘要：
In this paper, oscillation of even order half-liner neutral differential equation with distributed deviating arguments is studied. By means of yang inequality, the generalized Riccati transformation and the averaging technique, several sufficient conditions are obtained for oscillation of all solutions of the equation.
摘要：
Non-dominated sorting multi-objective optimization algorithms can constantly lead to the population of Pareto front optimal. However, the non-dominated sorting strategy lacks high capability to explore the Pareto front in the evolutionary subsequent process. We introduce a mixed strategy game model into evolutionary algorithms in this paper. Based on this strategy, we propose a novel multi-objective evolutionary algorithm (MSG-MOEA). A player adopts a strategy against the rest of the players with a certain probability in their respective strategy space instead of some specific strategy. According to the results of the game earning, the player constantly updates this probability to maximize the interest of his own objective. Through the players' constant pursuit of the maximal interest, a kind of tension could be brought to the population, which would push forward the population to the Pareto front. The proposed approach has been used some test functions and metrics for validation which are taken from the standard multi-objective optimization evolutionary literature. The experiment results have been compared against the NSGAII algorithm, which is one of the most highly competitive EMO algorithms. Algorithm analysis and simulation results show that the proposed algorithm performs well in solving complex multi-objective optimization problems.
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.
摘要：
In this paper, we investigate the oscillation of second-order half-linear neutral dynamic equations with distributed deviating arguments. By using the generalized Riccati transformation and the inequality technique, we establish some new oscillatory criteria for all solutions to second-order half-linear neutral dynamic equations being oscillatory on the time scale .
作者：
Li, Liulan*;Ponnusamy, Saminathan;Vuorinen, Matti
作者机构：
[Li, Liulan] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.;[Ponnusamy, Saminathan] Indian Stat Inst ISI Chennai Ctr, SETS, Madras 600113, Tamil Nadu, India.;[Vuorinen, Matti] Univ Turku, Dept Math & Stat, Turku 20014, Finland.
会议名称：
International Workshop on Complex Analysis and Its Applications
摘要：
In this paper, A class of third-order nonlinear neutral damped functional differential equations with distributed deviating arguments are studied. By using a generalized Riccati transformation and Kamenev-type or Philos-type integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero.
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.
