SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
This paper analyzes two linearly coupled oscillators whose frequencies and coupling vary slowly in time, focusing on how adiabatic invariants behave when complex resonance points are encountered. Using an asymptotic expansion for the associated fourth-order system and a contour matching procedure an…
This note discusses coefficient estimates for bounded holomorphic functions of several complex variables in complete circular domains, comparing earlier results with those of I. A. Aleksandrov and emphasizing cases where the relevant extremal quantities can be effectively computed. It identifies an …
The paper studies Saint-Venant torsion of composite anisotropic cylindrical bodies with cavities and a slightly curved axis, assuming each material has one plane of elastic symmetry perpendicular to the cylinder axis. By introducing a perturbative coordinate transformation that straightens the axis …
New trimethylalkyl, phenyl, and chloro derivatives of 1-oxa-2,6-disilacyclohexane were synthesized by alkaline hydrolysis of corresponding bis-(alkylchlorosilyl)propanes, which were prepared through Grignard substitution and platinum-catalyzed hydrosilylation routes. A related bicyclic siloxane was …
This paper examines how loss of ions from a discharge volume affects the ionization balance of helium impurities in a hot hydrogen plasma, a factor relevant to estimating energy losses and interpreting spectral line intensities. A phenomenological homogeneous-plasma model is formulated for neutral, …
This study reports direct adiabatic calorimetric measurements of the constant-volume heat capacity of 99.8 percent heavy water near the critical point, where prior data were limited. Measurements along selected isochores were compared with ordinary water under the same apparatus and conditions to as…
This study examines the thermal dehydration of palygorskite and the bonding mechanisms of its two forms of bound water, zeolitic water and water coordinated to octahedral cations. Infrared spectra of several cation-substituted forms were recorded during heating and evacuation, with detailed analysis…
This paper describes the development and testing of a geophysical prospecting method based on the pielectric effect of quartz-bearing rocks and veins, aimed at detecting quartz and pegmatite bodies that are difficult to identify by conventional electrical, seismic, or gravity methods. Laboratory, un…
The paper studies Cauchy problems for a degenerate hyperbolic equation and for its iterated form, with initial data prescribed on the line of degeneration. Under specified smoothness and weighted continuity assumptions on the coefficients, right hand side, and initial functions, it proves existence …
This editorial introduces the new All-Union monthly journal Differential Equations, established in Minsk under the Academy of Sciences of the BSSR beginning in 1965. It argues for the importance of differential and related integral equations as central tools in physical, technical, and applied scien…
The paper investigates how strong lattice distortions affect the critical magnetic fields and transition temperatures of superconducting indium, tin, and thallium. Metal films were produced by condensation on liquid helium cooled glass substrates, then progressively annealed, with electrical resista…
This paper studies when metrizability is preserved under quotient mappings from metric spaces, focusing on mappings satisfying a separation condition later described as a pi mapping. It proves that a paracompact p-space which is a quotient pi-image of a metric space is metrizable, first establishing…
Heats of wetting of aluminum oxide by solutions of 1-methylcyclohexene-1 and 1-methylcyclohexene-3 in n-heptane were measured calorimetrically at 20°C over the concentration range, and results were compared with prior adsorption and wetting data for cyclohexene. The nearly coincident wetting isother…
This paper examines how paramagnetic impurities affect the critical temperature of a superconductor in a two-band model, extending earlier work on nonmagnetic impurity scattering. Using averaged one-particle Green functions and the averaged product of Green functions, the author derives modified rel…
The paper calculates electric quadrupole transition probabilities between neighboring high-spin rotational states in even axially deformed nuclei, extending earlier nonadiabatic treatments of rotational spectra that allow the nuclear shape to deform during rotation. Using rotational-band wave functi…
This paper examines the copolymerization of vinyl chloride with ethylene and propylene using modified Ziegler catalyst systems based on titanium tetrachloride and alkoxy organoaluminum compounds. The authors compare catalyst compositions, concentrations, reaction times, and monomer ratios, showing t…
The paper studies functionally invariant solutions of second-order elliptic equations in three independent variables with prescribed positive symmetric principal part. Working in Cartesian coordinates and avoiding the earlier geometric formulation through line congruences, it derives necessary and s…
The paper addresses the ill-posedness of optimal control problems in which minimizing sequences for a cost functional may fail to converge uniformly to an optimal control, even when the corresponding trajectories and functional values are close to optimal. It proposes a regularization approach based…
This paper reports the preparation and characterization of salts and neutral esters of O,O-diphenylselenothiophosphoric acid, a class for which acid ester salts and thiol-structure neutral esters had not previously been described. The authors synthesized the potassium salt from O,O-diphenylchlorosel…
The paper studies error estimates for cubature formulas on regular lattices applied to periodic infinitely differentiable functions, extending earlier results for Sobolev spaces. It introduces classes of functions defined by bounds on derivatives with specified growth order and type, relates these c…
This study examines whether oriented polymer substrates can direct gas phase radiation polymerization to produce a readily crystallizing graft polymer in an oriented state. Vinylidene chloride was polymerized from the vapor phase onto uniaxially stretched polyethylene films, and the resulting polyvi…
This study examines the reaction of triethyl phosphite with hydrogen sulfide, a transformation for which prior data were lacking, and tests whether it proceeds through an Arbuzov-type pathway. Experiments with purified triethyl phosphite showed no reaction in the absence of bases, whereas traces or …
The paper examines the expansion of an ultrarelativistic gas in a gravitational field within general relativity, motivated by stellar explosions and as a Cauchy problem for Einstein’s equations. For a spherically symmetric, isentropic flow with an ultrarelativistic equation of state, the authors red…
This paper investigates the shear elasticity of thin liquid films at solid boundaries, a property relevant to the mechanical behavior of boundary layers and boundary friction. An ultrasonic method using an X-cut piezoquartz resonator was applied to liquid films of controlled thickness between quartz…
This paper addresses the problem of tuning the operating wavelength of optical quantum generators by introducing a dispersive element into the resonator. Using a ruby rod and a resonator containing three high-dispersion prisms, the authors examine how rotation of the end mirror selects the wavelengt…
The paper formulates an abstract Banach space analogue of the Rudin-Carleson theorem on extending continuous functions from measure zero subsets of the unit circle by functions analytic in the disk. It proves that, under a decomposition of the dual space into two subspaces satisfying weak closedness…
The paper studies invariant equipping of special type submanifolds in projective space whose higher order osculating spaces fail to have maximal dimension, a case not covered by existing equipping schemes. For the case where the third order osculating space has dimension lowered by one, the author c…
This note studies homotopy and topological invariance properties of rational Pontryagin classes of closed orientable manifolds, expressed through Hirzebruch L-classes. It proves that the class Lk in dimension 4k+1 is a homotopy invariant, establishes a conditional homotopy invariance result for cert…
The paper studies branching of small solutions of analytic nonlinear operator equations in Banach spaces when the kernel of the linearized operator has finite dimension greater than one. Using the Lyapunov-Schmidt reduction, Weierstrass preparation, greatest common divisors in rings of convergent po…
This paper examines whether unstable elementary particles have preparation-independent properties, like stable particles, and explores the consequences for production reactions, decay channels, and energy conservation. Khalfin argues that if unstable particles are elementary in this sense, their mas…
The paper studies the divisor problem in segments of arithmetic progressions, seeking asymptotic formulas for sums of the k-fold divisor function over residue classes with moduli as large as possible. It proves a uniform asymptotic formula for primitive progressions, with an explicit main term invol…
This paper examines the reactions of isolated and industrial lignins with aromatic diazo compounds in alkaline media, treating lignin as a polyhydric phenolic polymer capable of diazo coupling. Experiments with diazotized sulfanilic acid, anthranilic acid, p-nitroaniline, α-naphthylamine, and relate…
This paper studies infinitesimal bendings of convex surfaces with plane boundary subject to sleeve constraints, distinguishing elastic sleeves that move as rigid bodies from nonelastic sleeves that may themselves bend. For simply connected caps and doubly connected belts of positive curvature satisf…
The paper examines neutronization of matter during stellar collapse as a possible source of high-energy neutrinos, emphasizing that rapid compression makes the process nonequilibrium and requires kinetic treatment. Using simplified free-fall models for cold hydrogen and rough estimates for helium an…
This paper examines whether Baldwin’s empirical relations between crater diameter, depth, rim height, and explosion energy can be used to infer a meteoritic origin for lunar craters. Comparing Baldwin’s data with Yokoyama’s estimates for volcanic calderas, and with examples of explosive volcanic for…
The paper introduces characteristic coefficients for probability distributions as expectations of exponentials under the transformation z equals 2 arctan x, providing bounded quantities that exist for all distributions and can be statistically estimated when ordinary moments may fail to exist. It de…
Infrared spectra from 400 to 4000 cm−1 were measured for a series of mono- and dicyclopentadienyl titanium derivatives containing chloro, alkoxy, and carboxylate ligands, including compounds with alkyl-substituted cyclopentadienyl rings. The study relates shifts in ring C-H deformation bands and met…
This study examines reversible proton phototransfer in hydrogen-bonded two-component layers of organic compounds deposited by joint vacuum sublimation and cooled to low temperatures. Using fluorescence spectra as indicators of protonation state, the authors compare acridine derivatives with oxalic a…
This study examines whether radical formation in frozen solutions of triphenylmethane and amino-substituted triphenylmethane compounds proceeds through a two-quantum photochemical mechanism involving excited triplet states. Using low-temperature irradiation experiments in separate and simultaneous s…
The paper investigates whether constructive propositional logic has analogues of Sheffer’s stroke, understood as single formulas from which all formulas are expressible under substitution and equivalence in a given logic. It defines functional completeness and Shefferian formulas for superconstructi…
This note develops a theory of linear polynomial operations for functions on a compact commutative topological group with invariant normalized measure, generalizing trigonometric polynomial operators on the circle. Generalized trigonometric polynomials are defined as finite linear combinations of ch…
This note extends general ergodic theory for semigroups of linear operators from Banach spaces to spaces weakly normed over semifields, including complete locally convex settings. Using norms with values in the cone of a semifield, it defines basic systems of averaging operators and proves a Cesàro …
The study examines the reaction of triethylgermane with primary and selected secondary vinylacetylene carbinols in the presence of Speier catalyst, extending earlier work on tertiary analogues. Under similar conditions, these substrates react in two directions, giving both diene germanium-containing…
