Existence of solutions for some non‐Fredholm integro‐differential equations with the bi‐Laplacian

We prove the existence of solutions for some semilinear elliptic equations in the appropriate H⁴ spaces using the fixed‐point technique where the elliptic equation contains fourth‐order differential operators with and without Fredholm property, generalizing the previous results.     

半群的(U,V)-区间值模糊双理想

在半群中引入(U,V) 区间值模糊双理想的概念, 并讨论其基本性质. 给出半群的(U,V) 区间值模糊双理想与模糊双理想以及区间值模糊双理想的关系, 证明半群的(U,V) 区间值模糊双理想的交仍然是半群的(U,V) 区间值模糊双理想, 并讨论半群的(U,V) 区间值模糊双理想直积的相关特性.     

Post modification of zinc based coordination polymer to prepare Zn‐Mo‐ICP nanoparticles as efficient self‐supported catalyst for olefin epoxidation

Preparation, characterization, and catalytic properties of bimetallic coordination polymer constructed from 2‐aminoterephthalic acid as linker, zinc cations as node, and cis‐dioxo molybdenum units as catalytic active sites are reported via two pathways. Molybdenum centers were placed in N,O positions created by condensation reaction of 2‐aminoterephthalic acid with salicylaldehyde while zinc cations coordinated via carboxylic acid groups of linker to achieve infinite chains of metalo‐ligand. The obtained coordination polymer was fully characterized and its catalytic properties in the epoxidation of olefins with tert‐butyl hydroperoxide (TBHP) described. In comparison with previously reported heterogenized molybdenum catalysts, this new coordination polymer exhibited good conversion as well as high selectivity in the epoxidation of olefins. The catalyst is stable under ambient conditions and could be reused as active catalyst for at least five times.     

双半环的粗糙性质

在双半环上引入了粗糙集并研究了粗糙子双半环,利用双半环的非空子集上关于同余关系的上、下近似,给出了双半环的粗糙子双半环的定义,证明了双半环的子双半环一定是双半环的子双半环,理想一定是粗糙理想。     

Wavelet bi‐frames with uniform symmetry

Wavelet bi‐frames with uniform symmetry are discussed in this paper. Every refinable function in the bi‐frame system is symmetric, which is very useful in the image processing and curve and surface multiresolution processing. By the aid of the lifting scheme, bi‐frame multiresolution algorithms can be divided into several iterative steps, and each step can be shown by a symmetric template. The template‐based procedure is established for constructing bi‐frames with uniform symmetry and N > 2 generators. In particular, we take the bi‐frame with three generators as an example to provide a clearer picture of the template‐based procedure for constructing bi‐frames. Three types of bi‐frames with three generators are studied, and some examples with certain smoothness are constructed. These examples include some bi‐frames with interpolating property. Copyright © 2016 John Wiley & Sons, Ltd.     

基于联系数a+bi理论的学生综合素质评价方法

在学生综合素质评价中,往往受人为主观因素和不确定因素的影响,使评价出现诸多弊端。运用联系数a+bi理论,提出了一种新的学生综合素质评价方法,并建立相应评价模型。该模型方法避免了其他评价方法的弊端,而且能够保证评价的客观、公正。最后通过实例验证了该方法的有效性和正确性。     

基于区间需求下系统总时间最小的混合交通网络设计优化模型

假定需求为不确定数,运用交通网络设计双层规划理论,通过将连续交通网络设计问题转化为离散交通网络设计问题,建立基于系统总时间最小条件下区间不确定混合交通网络设计模型.根据区间运算和混合交通网络设计模型的特点,结合区间分析和遗传算法进行求解.求解结果表明:该模型及算法具有很好的稳定性.     

沥青加铺层温度应力研究(Ⅰ)：力学模型

研究比较了3维有限元模型、平面有限元模型和弹性地基上双层叠合梁模型在分析旧混凝土路面上沥青加铺层温度应力的适用性,指出加铺层路面结构变形视二垂直方向变形之叠加是可行的.由于旧混凝土路面接缝造成的结构间断,加铺层层底应力集中现象明显,收敛较其截面内力(弯矩和轴向力)困难,加铺层受力状况宜用其截面内力表征.调整双层梁的水平剪切变形和竖向拉压变形效应系数,弹性地基上双层叠合梁模型的加铺层截面内力计算结果与2维平面模型的结果具有很好的一致性.     

一个双目标单机调度问题及其几个多项式可解情形

研究了一个双目标单机调度问题及其几个多项式可解的情形。问题的主目标是延误工件数最小,在此条件下,最小化各工件加权提前期的总和,由于该问题是NP一难的,故研究求解它的一个启发式算法及问题的几个多项式可解的特殊情形。     

具有弹性夹层的文克勒地基上双层叠合梁的解

将双层叠合梁之间的接触状况拟合为一符合 Goodman假设的弹性夹层 ,导出了Winkler弹性地基上双层叠合梁的微分方程组及其解析解。通过引入“广义夹层反应模量”计入了夹层水平和竖向反力引起的梁截面的剪切和拉压形变效应 ,它有效地提高了计算精度 ,尤其是在双层梁结构有间断的场合。