一类含参半正二阶离散周期边值问题正解的存在性

用Guo-Krasnoselskii不动点定理给出半正二阶离散周期边值问题正解的存在性和多解性结果, 其中λ>0为参数, ［1,T］_z={1,2,…,T}, f: ［1,T］_z×［0,∞)→R连续且存在常数D>0, 使得f(t,u)≥-D, (t,u)∈［1,T］_z×［0,∞), a: ［1,T］_z→(0,∞), 02(π/2T).     

根的存在定理的推广及其应用

众所周知，在《数学分析》中会遇到连续函数的一个重要定理，即根的存在定理，此定理对方程根的存在性判别起着重要作用.将这方面已有的定理进行推广，并用例题说明其应用情况.     

FeCo-based hybrid MOF derived active species for effective oxygen evolution

Metal-organic frameworks(MOFs) have been regarded as promising catalyst materials due to the richness of coordinately unsaturated metal sites on the surface,which can act as catalytic active centres.In this study,a hybrid MOF material composed of Fe-based MOF and Co-based MOF was prepared with the involvement of graphene oxide nanosheets as additive.It was demonstrated that the hybrid MOF materials showed much higher electro-catalytic activity towards oxygen evolution than the single-phase counterparts.To drive current density of 10 mA cm~(-2),the hybrid CoFe-based MOF only needed an over potential of 290 mV in 1 M KOH.The catalytic activity could sustain for a longer time with only slight current density decrease.During oxygen evolution operation,the MOF catalyst evolved into catalytic active species but kept well the microscale sheet-like structure.It is thus believed that this study will provide an avenue for the development of advanced electrocatalysts.     

自主机器人人工进化方法研究

在介绍人工进化研究状况的基础上 ,着重阐述了进化机器人学的关键问题 :基本概念、进化技术、进化计算和实验研究方法等 ,探索了进化机器人学未来的研究趋势及所面临的挑战 .     

线粒体蛋白组研究进展

线粒体蛋白组是指在线粒体中出现的所有蛋白质的集合,包括线粒体自身基因组编码的和 由核基因组编码的蛋白质.线粒体作为真核生物的重要细胞器,它参与去除氧化、产生能量和还原 性物质等等一些重要的生命活动过程.这些功能都依赖于线粒体蛋白组中的蛋白河的相互作用.要 对其有一个较为全面的认识,就必须对其蛋白组进行广泛且深入的研究.根据现有的一些研究成 果,对线粒体蛋白组在起源与进化、跨膜运输、研究方法和计算机预测作了简要综述.     

关于Cauchy中值定理逆问题的渐近性

对Cauchy中值定理的逆问题作了进一步的研究,得到了Cauchy中值定理逆问题的渐近性.     

Banach空间中一类强非线性发展方程的反周期解

本文讨论一类强非线性发展方程的反周期解的存在性。针对一大类既含有单调非线性算子又含有非单调非线性算子的发展方程。我们巧妙地结合单调算子理论与Leray-Schauder不动点理论，证明了其反周期解的存在性。最后，举例说明理论结果在2m阶拟线性抛物型方向的时间反周期问题中的应用。     

有关勾股定理、射影定理的研究性论题

本文对勾股定理、射影定理的研究性论题进行了研究。     

High precision topographic data on Lop Nor basin's Lake "Great Ear" ? and the timing of its becoming a dry salt lake

High precision elevation measurements using DGPS were carried out along three representative tran- sects for the "Great Ear" area, a dry salt lake within the Lop Nor basin. Results indicate that the Lop Nor basin is only 5.2 m deep and its lowest point occurs at the center of the "Great Ear". In addition, the basin is asymmetric - steeper in the southwest (0.19‰) and gentler in the northeast (0.09‰). Points along the same "Great Ear" ring were found to have an identical elevation value, but different when from different ones (lower towards the center). The spacing of the "Great Ear" rings was found to be closely related with the surface steepness. The closer the "Great Ear" rings are spaced, the steeper the ground surface, and vice versa. These findings support the argument that the "Great Ear" rings are the former shoreline trails left behind by Lop Nor water during the last few episodes of recession towards its total dry up. A comprehensive analysis of the high precision elevation data, historical accounts, aerial and satellite photographs and imagery, and official topographic maps of the study area suggests that the "Great Ear" area in the Lop Nor basin was incorrectly mapped as being covered by a great body of water on the 1963 topographic maps. A re-interpretation of the 1958 aerial photographs and newer remote sensing imagery indicated that the "Great Ear" ring structure was already in place in 1958 and it continued to appear on the subsequent remote sensing data without any major changes. It is estimated that lake water in the "Great Ear" area of the Lop Nor basin disappeared between the late 1930s and early 1940s.     

遗传算法模式理论研究

给出了多种交叉方式遗传算法的模式定理及相关的证明.该定理避免了遗传算法模式理论的不足,使模式理论更加准确、严格.