We introduce the notion of almost continuability of the solution of the differential equation of first order dy/dx = f(x, y) to the whole real axis. We give a criterion for the almost continuability of solutions for the case in which the right-hand side of the equation is a meromorphic function of one variable y: f(x, y) = g(y). As an example, we work out the case of a rational and, in particular, an entire function g(y).

Summary form only given. A new generation of semiconductor closing switches based on reverse switched dynistors (RSD) has been developed to switch high-power current pulses with microsecond duration. In this report the results of theoretical and experimental investigations of RSD at peak current more than 500 kA and pulse duration up to 500 mus (at 0.1 Imax) are observed. The criteria of extreme peak current for switch taking into consideration the longtime performance under pulse-periodical mode are gave. The design and test results for switch under single pulse mode at operating voltage up to 25 kV and peak current up to 300 kA are described. The possibility of using such a switch in the ISKRA-6 capacitor bank is estimated.

Calculations are reported relating to images obtained in a scanning laser microscope. The resolving power of the microscope is determined and it is shown that it is higher than for a conventional optical microscope. Moreover, the resolving power is independent of the degree of coherence of the radiation supplied by the light source and can be improved by subtracting the constant component of the video signal.

Stimulated emission of visible radiation was obtained from multicomponent semiconductor lasers pumped by an electron beam. The lasers operated at room temperature in a pulse-periodic regime. A cadmium sulfide laser emitted radiation pulses of 100 kW power.

A scanning optical microscope, based on a kamebax electron-probe unit, is described. The laser beam is scanned by deflection of the electron probe. The laser is made of a cadmium sulfide single crystal. The microscope can produce images in reflected, transmitted, or scattered light at various scanning rates, including those used in television. The resolution is estimated to be 1 μ. A magnification of 100–1000 can be covered without a change of the objective. Induced-current operation is also possible.