OSCILLATION FOR NONAUTONOMOUS NEUTRAL DYNAMIC DELAY EQUATIONS ON TIME SCALES

The article is concerned with oscillation of nonautonomous neutral dynamic delay equations on time scales. Sufficient conditions are established for the existence of bounded positive solutions and for oscillation of all solutions of this equation. Some results extend known results for difference equations when the time scale is the set Z of positive integers and for differential equations when the time scale is the set R of real numbers.     

资源共享方式若干问题的研讨

社会公用服务系统和工程技术系统，存在共同的资源共享问题。本文通过典例就资源共享方式的若干问题加以探究：讨论广义的多用户系统中人工资源共享方式的分类；阐述常用的共享方式的特点、优缺点；分析系统时间性能及其改进与共享方式的关系等。文章还提出在系统工程范畴里，应对社会公用服务和工程技术两类系统的资源共享方式予以综合研究，并相互借鉴和移植。     

Dynamical intricacy and average sample complexity of amenable group actions

In 2018, Petersen and Wilson introduced the notion of dynamical intricacy and average sample complexity for dynamical systems of ?-action, based on the past works on the notion of intricacy in the research of brain network and probability theory. If one wants to take into account underlying system geometry in applications, more general group actions may need to be taken into consideration. In this paper, we consider this notion in the case of amenable group actions. We show that many basic properties in the ?-action case remain true. We also show that their suprema over covers or partitions are equal to the amenable topological entropy and the measure entropy, using the quasitiling technique in the theory of the amenable group.

     

Interrupted Imino‐Nazarov Cyclization of 1‐Aminopentadienyl Cation and Related Cascade Process

Facile 4π conrotatory imino‐Nazarov cyclization of a 1‐aminopentadienyl cation generated from condensation an aldehyde and secondary aniline in the presence of a catalytic amount of a Lewis acid has been developed. Silver(I)‐catalyzed intramolecular arene trapping of the resulting cyclic oxyallyl cation leads to formation of tricyclic indoline‐fused cyclopentanone. The use of lanthanide salts allows transformation after the initial trapping to afford tetrahydroquinoline‐fused cyclopentenone in a concise manner.     

3000A液态下阴极电解制备稀土金属关键技术研究

设计了一台3000A液态下阴极电解槽,阴极为轧制钨板设置在槽底部,电解过程中阴极表面形成一层金属液而充当液态阴极作用,继续析出的金属流入坩埚中,阳极为方块状石墨块,由导杆悬挂于可升降的水平导电母线上,阴极处于阳极投影下方,阴阳极之间水平平行布置.在此设计的电解槽上进行金属钕的电解试验,电解槽稳定运行,电解槽电压与传统上插阴阳极式电解槽相比,槽电压大幅降低至6V以内,电流效率达到80％以上,本文还考察了该电解槽的电压分布情况、电流电压曲线、电解槽的热场分布情况.     

NdF3-LiF-Nd2O3熔盐体系中下阴极电解金属钕研究

设计了下阴极结构的稀土金属电解槽,该电解槽底部以钨材料为容器兼阴极,上部悬挂多块石墨作阳极,在NdF3·LiF-Nd2O3体系中,探索研究了液态下阴极电解制备金属钕的工艺技术条件.研究表明,在槽温990～1020℃,阴极电流密度1～3 A·cm-2.槽电压5.6 V条件下,电解可平稳进行,电流效率达65.64%,稀土回收率达88%～92%;该工艺与目前主流上插阴极电解工艺相比,其电解温度和槽电压明显降低,降低了电耗.