带一般微分算子的二阶奇异边值问题的正解

用锥拉伸与压缩不动点定理,研究带一般微分算子的二阶奇异边值问题,其中线性微分算子的函数系数也允许具有奇异性.在非线性项满足超线性或次线性条件下,得到了该问题至少存在一个正解,并给出一个实例检验所得结果的有效性.     

赋值Banach代数的锥度量空间中的一类新型不动点定理

定义了一种向量版本的α-可容许函数,在不考虑锥的正规性的条件下,给出了赋值Banach代数的锥度量空间中的带有α-可容许函数条件的几类压缩型映射的不动点定理,所得结果大大地改进了前人的一些结果,并且举例验证了所得到的结论.      

抽象半线性发展方程正解的存在性

利用线性算子半群理论和抽象锥上的不动点定理 ,在合适的条件下建立了偏序Banach空间中半线性发展方程全局正解的存在性结果     

Microstructure and properties of in-situ synthesized Cu-1 wt%TiC alloy followed by ECAP and post-annealing

A dispersion-strengthened copper alloy with 1 wt% TiC for commercial electrical-contact wires was prepared by in-situ reaction casting, grain-ultrafining by equal-channel angular pressing (ECAP) and subsequent annealing with aim to obtain excellent comprehensive performance. The results showed that fine TiC particles were in-situ synthesized in the as-cast Cu matrix and aggregated in clusters, and thus mechanical properties of the as-cast alloy deemed insufficient. Continued ECAP at 473 K significantly refined the grains of the as-cast alloy and improved the distribution of TiC particles. Due to multiple strengthening mechanisms, the ECAP-processed alloys maintained good conductivity with obviously enhanced tensile strength and hardness values. After post-ECAP annealing, the elongation and conductivity of the fine-grained copper alloy increased with the adequate tensile strength. The novel combined process endows the alloy appropriate performance to serve current high-frequency electrification railway systems.     

锥度量空间中两对非相容映象的一个新的公共不动点定理

 自锥度量空间的概念被提出以来,已经有数位学者对其结构和性质进行了探讨.研究了锥度量空间中非相容映象对,并利用非相容映象对的性质和压缩条件得到一类映象的公共不动点定理,其结果推广了相关文献的结果.     

木塑复合材料燃烧性能的研究

利用锥形量热仪等评价方法,从引燃时间、释热、质量损失和发烟等方面对木塑复合材料（WPC）以及阻燃WPC的燃烧性能进行了研究。结果表明：WPC的引燃时间为27 s,比人工林木材的引燃时间长,与中密度纤维板（密度086 g/cm3）相当;WPC的释热速率峰值404 kW/m2,燃烧1 200 s的释热总量为180 MJ/m2,平均有效燃烧热为28 MJ/kg,燃烧释热高于人工林木材;WPC的平均质量损失速率为7 g/(s·m2),低于人工林杨木和马尾松木材;WPC的发烟总量高于人工林木材。相对于聚丙烯（PP）而言,WPC的释热速率峰值远低于PP,木材的引入降低了PP的高释热速率,且质量损失率峰值也大幅度降低。阻燃WPC的释热速率和释热总量有所降低,但发烟量增大,尤其是含卤阻燃物质。因此,对于WPC不宜选择有卤阻燃剂。     

锥度量空间中两个集值映射的公共不动点定理

在度量空间中引入了一种新的广义压缩条件,利用这种条件,在不要求正规锥的前提下,得到了满足广义压缩条件的集值映射的公共不动点的存在性结果.这些结果推广了一些锥度量空间中关于两个集值映射的最常见的公共不动点定理.     

锥形束图像重建的一般公式

在一般扫描路径背景下推广了Tuy反演公式,使得计算速度更快,实现了图像的快速重建．     

Conotoxins of the O-superfamily affecting voltage-gated sodium channels

The venoms of predatory cone snails harbor a rich repertoire of peptide toxins that are valuable research tools, but recently have also proven to be useful drugs. Among the conotoxins with several disulfide bridges, the O-superfamily toxins are characterized by a conserved cysteine knot pattern: C-C-CC-C-C. While ω-conotoxins and κ-conotoxins block Ca²⁺ and K⁺ channels, respectively, the closely related δ- and μO-conotoxins affect voltage-gated Na⁺ channels (Na_v channels). δ-conotoxins mainly remove the fast inactivation of Na_v channels and, thus, functionally resemble long-chain scorpion α-toxins. μO-conotoxins are functionally similar to μ-conotoxins, since they inhibit the ion flow through Na_v channels. Recent results from functional and structural assays have gained insight into the underlying molecular mechanisms. Both types of toxins are voltage-sensor toxins interfering with the voltage-sensor elements of Na_v channels. Received 27 December 2006; received after revision 30 January 2007; accepted 19 February 2007     

Lidstone边值问题多个单调正解的存在性

对含有各阶导数的2m阶微分方程:y(2m)(t)=f(t,y(t),y′(t),…,y(2m-2)(t),y(2m-1)(t)),t∈(0,1),y(2i+1)(0)=y(2i)(1)=0,0≤i≤m-1,其中(-1)mf:[0,1]×R2m→[0,∞)是连续的。笔者首先给出方程的Green函数及其一些性质,并赋予f一定的增长条件,利用5个泛函的不动点定理,然后给出上述边值问题的3个单调正解的存在性。