幂方根不等式的推广及应用

给出并证明了幂方根不等式的推广及其推论 ,利用此推广简证了几个重要不等式 ,利用其推论完善了一类初等代数问题     

自反Banach空间一类完全广义集值强非线性混合似变分不等式问题

研究了一类完全广义集值强非线性混合似变分不等式在自反Banach空间下的问题，借助一个极大极小不等式，证明了这类完全广义集值强非线性混合似变分不等式的解的存在唯一性定理。     

超凸度量空间中KKM理论的一些应用

在超凸度量空间利用广义度量KKM映象原理的特性得到一类新的广义极大极小不等式,并进一步借助这类极大极小不等式,在更广泛的条件下,获得鞍点问题的一个新的存在性结果。     

模糊时滞系统控制器依赖于状态时滞的H∞控制

针对一类非线性时滞系统，研究了该系统基于T—S模糊模型的H∞控制器设计问题。采用线性矩阵不等式LMI的方法，设计一个依赖于状态时滞的模糊控制器，得到了系统存在模糊控制器的充分条件，此充分条件等价于一类线性矩阵不等式的可解性，最后通过仿真说明了控制器的有效性。     

一类偶数阶非线性中立型偏微分方程组的振动判据

讨论一类偶数阶非线性中立型偏微分方程组的振动性,利用Green公式和边值条件将这类非线性中立型偏微分方程组的振动问题转化为中立型微分不等式不存在最终正解的问题,并利用最终正解的定义和微分不等式方法,获得了该类方程组在两类不同边值条件下所有解振动的若干充分性条件。所得结果为解决物理学、生物学、工程学等学科领域中的实际问题提供了数学理论基础。     

非线性时滞系统模糊控制的一种新方法

针对一类状态变量具有时滞的非线性系统，研究了其模糊控制器的设计问题。采用线性矩阵不等式（LMI）的方法，设计了与状态变量导数有关的模糊控制器，得到了系统存在模糊控制器的充分条件，并利用线性矩阵不等式的解给出具体的形式，最后通过仿真说明了控制器的有效性。     

关于具有给定极点的有理函数导数的不等式

给出了一类具有给定极点的有理函数的导数在Lp 尺度下的Varma型和Turán型不等式,从而推广了有关文献中关于多项式的著名不等式.     

具连续分布滞量的非线性抛物型偏微分方程的振动准则

考虑一类具连续分布滞量的非线性抛物型偏微分方程的振动性,借助Green定理将多维振动问题转化为关于某一类具连续分布滞量的非线性微分不等式的一维问题,给出了该类方程在Robin,Dirichlet边值条件下所有解振动的若干充分判据。所得结论充分地表明,振动是由时滞量引起的。     

离散系统的绝对稳定性

给出了离散系统绝对稳定性问题的充分条件:约束条件下的矩阵不等式的正定解;基于这一思路可以构造控制器来镇定一类非线性系统;最后还给出了设计实例以说明结果的有效性。     

一类非线性时滞系统的时滞相关稳定性分析

针对一类非线性时变时滞系统,基于T-S模糊模型,采用自由权矩阵的方法,研究了该系统的稳定性问题。设计了一个与系统状态变量的导数有关的模糊控制器,推导出该控制器使闭环系统渐近稳定的充分条件,该条件等价于一类线性矩阵不等式（LMI）的可解性,并以仿真算例证明了控制器的有效性。     

The impact of military spending and income inequality on economic growth in Turkey

An extensive literature on the effect of military expenditures on economic growth yields conflicting results. However, a crucial issue that has not been investigated in this context is the possible effect of inequality. The impact of military expenditures on economic growth in Turkey has also received substantial attention. Yet, the majority of these studies are not constructed based on a structural model, but rather examine the causality between the variables in question. Considering these two shortcomings in the literature and the lack of consistent results, this study attempts to provide further evidence for the relationship between military expenditures and economic growth for the case of Turkey by considering income inequality within an augmented Solow growth model. Our findings for the 1963–2008 period show that while income inequality has a positive impact on economic growth, military expenditures have no significant effect.     

Defence Spending and Income Inequality in Taiwan

The rising trend in income inequality has recently attracted a renewed interest in the determinants of this growing trend across many countries. This article adds to the debate by investigating the impact of defence expenditure as a possible determinant of inequality in Taiwan, a country once was considered to be a poster child of an equitable growth, but now income inequality has become one of the Taiwan’s growing challenges. Applying the bounds test approach to cointegration and four long-run estimators for the period from 1976–2011, we found a long-run relationship between the various measures of inequality and defence expenditure where defence expenditure exerts a positive and a statistically significant impact on the worse income inequality in Taiwan. Further application of the lag-augmented causality test procedure also reveals a unidirectional causality running from defence expenditure to income inequality with defence expenditure causing income inequality to rise.     

利用詹森不等式推广几个数学问题

詹森（Jensen）不等式是解决不等式问题的一个重要方法，也是发现数学问题的重要手段。运用詹森不等式的关键是通过观察所给代数式的函数特征，构造一个凹或凸的函数，以利解题。     

新疆城乡居民收入差距的关联分析——基于灰色关联理论

现阶段城乡居民收入差距不断扩大，这不仅影响社会公平，而且影响经济社会长期稳定的持续发展。本文以新疆为例，选取1978—2008年的统计数据，对新疆城乡居民收入差距的现状进行分析，并利用灰色关联理论分析影响新疆城乡居民收入差距的主要因素，据此提出缩小城乡收入差距的对策和建议。     

The future challenges of NATO: An economic viewpoint

This article identifies and evaluates likely challenges facing NATO today and into the next millennium. These contingencies include ethnic‐based civil wars in Europe, transnational terrorism, rogue states, increased world income inequality, out‐of‐area conflicts, and environmental and resource security. Using concepts and tools from collective action, I assess these challenges and suggest effective policies for addressing them. NATO still has a crucial role to play in maintaining world security in the post‐Cold War era.     

控制不等式的改进

讨论了随机过程控制关系产生的不等式,对这个不等式给出了一个新系数,改进了以前的结果,并将其应用于局部平方可积鞅.     

Does Income Inequality Derive the Separatist Terrorism in Turkey?

Separatist terrorism has been a severe problem for Turkey since the mid-1980s. The conventional wisdom contends that economic deprivation in southeastern Turkey is the fundamental reason for the long-running battle against the Kurdish rebels. Considering that there is limited empirical literature on the roots of terrorism in Turkey, yielding conflicting results about the claim that the main cause of terrorism is deprived economic conditions, this study aims to answer whether there is a causal relationship between income inequality and separatist terrorism in Turkey. To this end, the Global Terrorism Data Base for the period of 1973–2006, two Theil indices of pay inequality as proxy for income inequality, and the vector autoregression and Autoregressive Moving Average (ARMA) methods are utilized. The results support the early findings that income inequality, a particular focus in this paper and an essential indicator of economic deprivation, is not a main cause of escalation of separatist terrorism in Turkey.     

Military expenditure and income distribution in South Korea

This paper attempts to investigate the long-run and the causal relationship between military expenditure and income distribution in South Korea for the period 1965–2011. Applying the bounds test approach to cointegration, we found a long-run relationship between military expenditure and the Gini coefficient with military expenditure having a positive and a statistically significant impact on income inequality. A 1% rise in military expenditure increased the Gini coefficient by 0.38%. Application of the lag-augmented causality test also reveals a unidirectional causality running from military expenditure to income inequality. The evidence seems to suggest that devoting more resources to the military sector may further worsen income inequality in South Korea.