Solving linear systems of differential and difference equations with respect to a part of the unknowns

The existence of solutions y to a linear differential or difference system whose components $y_{i_1 } ,...,y_{i_m } $ belong to a given class of functions and the problem of constructing such components are considered.     

Surface action of a heat pulse in a tangential flow

The three-dimensional unsteady problem of the action of a localized radiation pulse on an aluminum plate of finite thickness in a tangential airflow is solved on the basis of the Euler equations in the gas phase and the heat conduction equation in the solid. The process is accompanied by the intense evaporation of plate material and the subsequent (after the action of the radiation pulse ceases) intense condensation of aluminum vapor and condensate particles on the surface. The problem is solved on the assumption that the surface is not screened by its disintegration products and the processes associated with the self-radiation of the gas are disregarded. Heat pulses of intensityq=10⁶−10⁷ W/cm² and durationt _i ≈10⁻⁴ sec are investigated. Various regimes are calculated and the effect of the governing parameters on the impulse transmitted to the surface and ablation of the target material is established. A nontraditional approach, based on the idea of statistical modeling of the motion of an inviscid non-heat-conducting gas at the kinetic level, is used for solving the gas dynamic problem. The application of the approach in question to the solution of problems of this class is justified. Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.1, pp. 139–146, January–February, 1994.     

Phthalocyanines containing macrocyclic and azo chromophores in the molecule

4-[(Z)-(R)-Diazenyl]phthalonitriles and cobalt phthalocyanines on their basis are synthesized and their electron absorption spectra are studied.     

二分图中关于Enomoto问题的结果

设k,n1和n2是3个正整数,G=（V1,V2;E）是一个二分图,使得｜V1｜=n1,｜V2｜=n2,其中n1≥2k＋1,n2≥2k＋1并且n1-n2≤1．如果对任意不相邻的x∈V1和y∈V2,都有d（x）＋d（y）≥2k＋2,则G包含k个相互独立的圈．以上结果部分地回答了Enomoto提出的关于二分图有独立圈的问题．     

Interference bleaching and absorption in magnetic films under oblique incidence of counterpropagating waves

The interference control of absorbance and transmittance of a thin magnetic layer using variations in (i) phase difference of counterpropagating coherent waves that are incident at a certain angle on opposite sides of the layer and (ii) external magnetic field is studied. It is demonstrated that the absorbance depends on the parameters of the layer. Almost total absorption and dissipation-free transmission of energy are possible for the absorbing layer.     

Investigating semiconductor layered systems of photonics

The structure of a heterostructures-based semiconductor laser is experimentally investigated by complex means involving systems of scanning electron microscopy, scanning probe microscopy, and Raman spectroscopy. The possibilities of high-resolution microscopy for diagnostics of layered microelectronic systems are demonstrated.     

青蒿素转化成异氢化青蒿酸及有关反应

本文报道从青蒿素经六步反应转化成异氢化青蒿酸。青蒿素经酸处理得失碳倍半萜内酯3,3经硷水解再酯化生成α,β-不饱和酮酯5,然后由Wittig反应得共轭双烯酯6,用RaneyNi(W_2)催化氢化生成异氢化青蒿酸酯7,最后经硷水解得到异氢化青蒿酸8。