Special John-Nirenberg-Campanato spaces via congruent cubes

Let p ∈ [1, ∞), q ∈ [1, ∞), α∈ R, and s be a non-negative integer. Inspired by the space JNp introduced by John and Nirenberg(1961) and the space B introduced by Bourgain et al.(2015), we introduce a special John-Nirenberg-Campanato space JN^con_(p,q,s) over Rⁿ or a given cube of R;with finite side length via congruent subcubes, which are of some amalgam features. The limit space of such spaces as p →∞ is just the Campanato space which coincides with the space BMO(the space of functions with bounded mean oscillations)when α = 0. Moreover, a vanishing subspace of this new space is introduced, and its equivalent characterization is established as well, which is a counterpart of the known characterization for the classical space VMO(the space of functions with vanishing mean oscillations) over Rⁿ or a given cube of Rⁿ with finite side length.Furthermore, some VMO-H¹-BMO-type results for this new space are also obtained, which are based on the aforementioned vanishing subspaces and the Hardy-type space defined via congruent cubes in this article. The geometrical properties of both the Euclidean space via its dyadic system and congruent cubes play a key role in the proofs of all these results.     

具有外部干扰的耦合时滞神经网络固定时间二分同步

针对结构平衡图与结构非平衡图的网络拓扑,考虑了一类具有外部干扰的耦合时滞神经网络模型,分别设计了其固定时间同步控制协议.借助固定时间稳定性理论与不等式技巧,获得了耦合网络在固定时间内达到同步的充分性判据,给出了具体的收敛时间上界,并验证了固定时间同步网络的鲁棒性与抗干扰性.为了扩大网络模型的适用性,考虑的神经网络激活函数为非连续的函数,可借助微分包含与集值李导数理论解释非连续微分方程的动力学行为.最后,分别在结构平衡图和非平衡图下对耦合神经网络的固定时间二分同步进行了数值仿真,验证了控制算法的有效性及理论结果的正确性.     

血管内皮生长因子结合可降解壳聚糖治疗大鼠心肌梗塞的研究

摘要:目的 研 究 血 管 内 皮 生 长 因 子 ( vascular endothelial growth factor, VEGF ) 结 合 可 降 解 壳 聚 糖 ( degradablechitosan,DC)对心肌梗塞大鼠的治疗作用。 方法 将 32 只 SD 大鼠随机分为假手术组、模型组、VEGF 组和 VEGF+ DC 组,每组 8 只。 4 组大鼠均采用结扎冠状动脉左前降支的方法进行造模,其中假手术组只穿线不结扎。 造模后, 向模型组大鼠心肌注射 100 μL 生理盐水,VEGF 组大鼠于同一位置注射同体积 VEGF 溶液,VEGF+DC 组大鼠注射 VEGF+DC 溶液。 造模 4 周 后,对 所 有 实 验 大 鼠 进 行 超 声 心 功 能 检 测,考 察 左 心 室 收 缩 期 及 舒 张 期 前 壁 厚 度( LVAW;s 和 LVAW;d) 、左心室收缩期及舒张期内径( LVID;s 和 LVID;d) 、左心室收缩期及舒张期容积( LV Vol;s 和 LV Vol;d) 、左室射血分数( EF% )及短轴缩短率( FS% ) ,血流动力学考察左室舒张末压( EDP ) 和等容收缩期及 舒张期左心室内压力上升最大速率( + dp / dt 和 - dp / dt) ,计算左心室指数( LVM / BW) 并对心肌进行苏木素-伊红 ( HE)染色观察各组实验大鼠心肌病理变化。 结果 VEGF 组和 VEGF+DC 组大鼠的心肌梗塞均得到有效改善,其 中 VEGF+DC 组的改善作用更加显著。 结论 VEGF 结合 DC 对心肌梗塞大鼠的心功能具有改善作用,具有一定的治疗作用。     

基于不确定控制理论的最优策略研究

本文在不确定理论的框架下,研究一类带背景状态变量的最优控制模型.在乐观值准则下,利用不确定动态规划的方法,证明了不确定最优性原则,得到最优性方程.作为应用,求解一个固定缴费(DC)型养老金的最优投资策略问题,在乐观值准则下,以工资变量为背景状态变量,建立养老金模型.通过求解不确定最优性方程得到最优投资策略和最优支付率.     

环境规制、政府研发投入与全要素生产率 ——基于省级面板数据的分析

使用空间计量模型对我国除西藏外的30个省区市和东、中、西部各区域环境规制强度、政府研发投入对地区全要素生产率的影响进行了理论与实证分析,研究表明环境规制对地区生产率提升存在显著抑制作用,环境规制政策影响企业在创新方面的投资,约束地区生产率的提升;政府研发资金投入有利于提高企业研发积极性与市场竞争力,提升地区生产效率;东部地区政府研发投入对生产率的影响程度较小,中部地区环境规制强度对生产率的影响最大.     

埋入式传感器与沥青混合料的交互影响研究

为研究埋入式应变传感器与沥青混合料的交互影响,利用ABAQUS有限元软件,建立了在四点弯曲加载条件下埋入应变传感器的梁试件有限元模型,分析了荷载大小、传感器测力杆长度和传感器封装材料模量等因素对沥青混凝土梁试件及传感器的力学响应与应力集中的影响.研究结果表明:传感器埋入沥青混合料梁试件后,在梁试件上与传感器法兰相接触的沥青混合料发生了应力集中的现象,但应力集中系数较小,最大值仅为2.95.传感器的测力杆也发生了应力集中现象,其应力集中系数最大值为26.83,远高于梁试件的应力集中系数.     

Ultrahigh Loading Copper Single Atom Catalyst for Palladium-free Wacker Oxidation

Wacker oxidation is an industry-adopted process to transform olefins into value-added epoxides and carbonyls. However, traditional Wacker oxidation involves the use of homogeneous palladium and copper catalysts for the olefin addition and reductive elimination. Here, we demonstrated an ultrahigh loading Cu single atom catalyst(14% Cu, mass fraction) for the palladium-free Wacker oxidation of 4-vinylanisole into the corresponding ketone with N-methylhydroxylamine hydrochloride as an additive under mild conditions. Mechanistic studies by ¹⁸O and deuterium isotope labelling revealed a hydrogen shift mechanism in this palladium-free process using N-methylhydroxylamine hydrochloride as the oxygen source. The reaction scope can be further extended to Kucherov oxidation. Our study paves the way to replace noble metal catalysts in the traditional homogeneous processes with single atom catalysts.     

Developing Flexible Quinacridone-Derivatives-Based Photothermal Evaporaters for Solar Steam and Thermoelectric Power Generation

Solar-driven interfacial vaporization by localizing solar-thermal energy conversion to the air−water interface has attracted tremendous attention. In the process of converting solar energy into heat energy, photothermal materials play an essential role. Herein, a flexible solar-thermal material di-cyan substituted 5,12-dibutylquinacridone (DCN−4CQA)@Paper was developed by coating photothermal quinacridone derivatives on the cellulose paper. The DCN−4CQA@Paper combines desired chemical and physical properties, broadband light-absorbing, and shape-conforming abilities that render efficient photothermic vaporization. Notably, synergetic coupling of solar-steam and solar-electricity technologies by integrating DCN−4CQA@Paper and the thermoelectric devices is realized without trade-offs, highlighting the practical consideration toward more impactful solar heat exploitation. Such solar distillation and low-grade heat-to-electricity generation functions can provide potential opportunities for fresh water and electricity supply in off-grid or remote areas.