线性规划在长清县种植业最优布局中的应用

1982年以来,我们在山东省济南市长清县农业资源调查和农业区域规划定性分析的基础上,开展了用运筹学方法进行农业资源开发的研究工作.这一工作的主要目的,是寻找一个全县规模的种植业最优布局,以期达到纯收入最高和改善生态效益等.这项工作共动用了三百多万个数据,历经一年左右的时间,最后针对不同气候条件确定了四个大型线性规划模型(共有三千多个变量及一百多个约束条件),通过上机计算,求得相应的最优方案,然后     

一类奇摄动椭圆方程在摄动区域上的渐近解

研究了一类具有摄动边界的非线性椭圆方程摄动问题.经过极坐标变换,在适当的条件下,通过构建近似解以及校正项,利用上下解方法和微分不等式理论得到了解的渐近性态,并通过实际例子进行了验证.     

Performance analysis of LDPC codes on OOK terahertz wireless channels

Atmospheric absorption, scattering, and scintillation are the major causes to deteriorate the transmission quality of terahertz(THz) wireless communications. An error control coding scheme based on low density parity check(LDPC) codes with soft decision decoding algorithm is proposed to improve the bit-error-rate(BER) performance of an on-off keying(OOK) modulated THz signal through atmospheric channel. The THz wave propagation characteristics and channel model in atmosphere is set up. Numerical simulations validate the great performance of LDPC codes against the atmospheric fading and demonstrate the huge potential in future ultra-high speed beyond Gbps THz communications.     

一类非线性分数微分方程正解的存在唯一性

通过构造上、下控制函数,结合上、下解方法及不动点理论,研究了一类非线性项不具任何单调性的分数微分方程,获得了其正解存在性及唯一性的充分条件,推广了已有的一些结果.     

Effect of magnetic field on the terahertz radiationdetection in high electron mobility transistors

In this paper, we make a theoretical investigation of the plasma-wave instability mechanism in a two-dimensional electron fluid in a high electron mobility transistor (HEMT) driven by the terahertz radiation in the presence of a perpendicular magnetic field. It is found that the resonant peaks of the gate-to-source/drain admittances and detection responsivity depend on the strength of the external magnetic field. Such phenomena can be used to produce a desired effect by adjusting the intensity of the magnetic field.     

Detection of a directly modulated terahertz light with quantum-well photodetector

We demonstrate a wireless transmission link at 3.9 THz over a distance of 0.5 m by employing a terahertz （Hz） quantum-cascade laser （QCL） and a THz quantum-well photodetector （QWP）. We make direct voltage modulation of the THz QCL and use a spectral-matched THz QWP to detect the modulated THz light from the laser. The small signal model and a direct voltage modulation scheme of the laser are presented. A square wave up to 30 MHz is added to the laser and detected by the THz detector. The bandwidth limit of the wireless link is also discussed.     

Real-time video signal transmission over a terahertz communication link

A 2.4-m communication link operating at 3.9 THz based on a terahertz quantum cascade laser and a terahertz quantum well photodetector （THz QWP） are introduced. The lumped electrical models of THz QWP for small signals are presented. A discussion of the bandwidth limit of the detecting circuit is presented. Using direct on off-keying modulation and intensity detection, the transmission of digital video signal with a data rate of 2.5 Mb/s is demonstrated. Pseudo-random binary sequences are transmitted to investigate the bit-error rate （BER） at different rates. Result shows the error free transmission when the rate is below 5 Mb/s.     

一类具有时滞及反馈控制的非自治非线性比率依赖食物链模型

该文研究了一类具有时滞和反馈控制的三种群非线性非自治比率依赖的食物链模型.首先,基于时滞微分不等式理论,提出了一些新的分析方法,并构造了一个合适的李亚普诺夫函数.其次,得到了系统正解的持久性和全局吸引性的充分条件.第三,利用理论分析和不动点理论,讨论了相应的周期系统,建立了周期系统正周期解的存在性、唯一性和稳定性的充分...     

一类时滞反应扩散方程的周期解和概周期解

通过构造上、下控制函数，结合上、下解方法及相应的单调迭代方法研究了一类时滞反应扩散方程，证明了在反应项非单调时，如果一雏边值问题存在一对周期（或概周期）上、下解，则方程一定存在唯一的周期（或概周期）解．并给出了二维边值问题周期（或概周期）解存在唯一性的充分条件．推广了已有的一些结果。