SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper examines the connection between inversion formulas for the Sommerfeld integral, used to represent solutions of the two-dimensional Helmholtz equation, and the Kontorovich-Lebedev transformation. Starting from the odd form of the Sommerfeld density and assuming suitable analyticity and dec…
This paper examines the reactivity of diferrocenylmercury as a reagent for preparing substituted ferrocene derivatives. The authors report reactions with triphenylchloromethane, sulfonyl halides, acetyl chloride, rhodanogen, and selenium tetrabromide, isolating ferrocenyltriphenylmethane, phenylferr…
This study examines the dehydrogenation of n-pentane and isopentane over an alumina, chromia, potassium catalyst, focusing on the effects of temperature, space velocity, and cycle duration between regenerations. Experiments with activated and periodically regenerated catalyst measured olefin and iso…
This note develops a residue method for solving mixed problems for systems of linear differential equations with piecewise smooth coefficients on several intervals, under boundary conditions that may connect values and derivatives at multiple endpoints and include time derivatives. By reducing assoc…
This paper proposes simplified variants of an abstract Chaplygin method for approximate solution of operator equations in semi-ordered spaces. It replaces exact residuals in the iterative construction by suitably bounded elements, using additive positively invertible majorants and, for uniqueness, m…
This paper studies representations of solutions to the Euler, Poisson, Darboux equation with negative coefficient in domains adjoining the boundary line y = 0. Extending earlier results for positive coefficients, it proves integral representations in terms of analytic functions of one complex variab…
This paper studies square roots and factorizations of bounded linear operators between dual locally convex spaces embedded around a Hilbert space, extending earlier results that required complete continuity. Under compatibility assumptions on the triples of spaces, the authors prove that a positive …
This note extends trace and a priori estimate results for Sobolev spaces \(W_p^{(l)}\), \(1<p<\infty\), on smooth domains. It proves that normal derivatives up to order \(l-1\) of a function in \(W_p^{(l)}(\Omega)\) belong to the corresponding fractional spaces on the boundary, and conversely constr…
This note studies continuous mappings of closed orientable n-dimensional manifolds into Euclidean n-space, or into n-dimensional orientable manifolds with degree zero, focusing on homology classes that contain cycles mapped to zero. It introduces numerical invariants measuring independent image cycl…
This study examines how temperature and high pressure affect the self-adhesion of powdered thermoplastic polymers during pressing, with emphasis on polyvinyl chloride and comparison with polystyrene and polymethyl methacrylate. Specimens were pressed in a heated cylindrical mold under varied pressur…
This note proves nonexistence results for linear polynomial operators that would approximate every function with error of the same order as the best trigonometric polynomial approximation. For continuous periodic functions, the argument shows that such an operator would imply a uniform bound of the …
This paper studies convergence of the method of averaging functional corrections for linear Fredholm integral equations of the second kind with square integrable real kernel and inhomogeneous term. It formulates the iterative scheme, estimates successive corrections in the \(L^2\) norm using Minkows…
The paper develops an integral equation formulation for radiation transfer and radiant heat exchange in systems bounded by gray bodies and filled with an absorbing, possibly moving medium with internal heat sources. It treats both fundamental and mixed boundary formulations, establishes existence an…
This paper develops calculation equations for electrochemical reactions in which a principal depolarizer is oxidized or reduced either directly at an electrode or through an intermediate reagent in solution. Combining electrode kinetics with chemical kinetic balances under steady-state conditions, t…
This paper proposes a general functional series framework for deriving numerical formulas for ordinary differential equations, extending earlier approaches to broader classes of integration schemes. By expanding the series terms and matching coefficients with the Taylor expansion, the derivation of …
This paper examines the use of multistage electron-optical light amplifiers to increase the efficiency of photon recording in astrophysical observations where telescope aperture alone cannot provide the needed sensitivity. It estimates the sensitivity gain relative to photographic plates, considers …
The paper studies binary additive representations involving primes, principally integers of the form n = p1 + p2^p3, where p1 and p3 are prime and p2 is a fixed prime. Using estimates based on the Brun-Schnirelmann sieve and an identity of Romanov, it derives an asymptotic formula for the number of …
The paper studies the Tricomi boundary value problem for a general Lavrent’ev-Bitsadze equation of mixed elliptic-hyperbolic type in a domain bounded by a curve in the elliptic half-plane and characteristics in the hyperbolic half-plane. It establishes uniqueness using maximum principles for general…
This paper supplies a proof scheme for previously derived formal asymptotic expansions of solutions to singularly perturbed systems of differential equations near a breakdown point, where the relevant Jacobian determinant vanishes. After reducing the system to a normal local form, the authors divide…
This study examines whether differences in the polarizing ability of alkali metal ions affect the structure and differential capacitance of the electrical double layer at a dropping mercury electrode. Differential capacitance was measured in methanolic solutions of KF, LiCl, NaCl, and KCl, motivated…
This study investigates chemical synthesis in oxygen-free water saturated with gases characteristic of a reducing atmosphere under high-intensity ultrasonic irradiation. Using purified gas mixtures and colorimetric or spectrophotometric assays, the authors examined the formation of ammonia, hydrocya…
This paper reports the liquid-phase oxidation of a p-diisopropylbenzene fraction obtained as a by-product in the boron fluoride catalyzed alkylation of benzene with propylene. The authors describe isolation of the diisopropylbenzene fraction by vacuum rectification, oxidation in a stirred glass reac…
This paper investigates the chemistry of triallylboron and its use in preparing new allyl derivatives of boron. Triallylboron was synthesized from allylmagnesium bromide and boron trifluoride etherate, then reacted with water, alcohols, and n-butylamine to give allylboronic acid anhydride, allylboro…
The study examines how anodic and cathodic polarization affect the mechanical properties of annealed steel-3 during tensile deformation in sulfuric acid, caustic soda, and sodium chloride electrolytes. Using a modified tensile testing machine, specimens were ruptured under controlled external curren…
This paper studies the convergence of formal power series solutions for nonlinear Uryson integral equations with analytic nonlinearities and small parameters. It extends the theory of formal power series from numerical to functional coefficients and applies Lyapunov, Schmidt reduction to relate form…
This paper examines the polarographic behavior of the tropylium ion in supporting electrolyte, focusing on the origin of the first two reduction waves apart from the proton discharge wave caused by hydrolysis. Using polarization and electrocapillary measurements, concentration and mercury column hei…
The paper develops a moment formulation of the Boltzmann equation intended for rapid gas-dynamic processes, without imposing restrictions on the ratio of molecular relaxation time to the characteristic time of the process. Expanding the single-particle distribution function in generalized Hermite po…
The paper analyzes plane outflow from a vessel whose walls form a small angle, with emphasis on the shape and contraction of the emerging jet. Using Chaplygin’s formulation in terms of velocity potential and stream function, together with asymptotic expansions of Chaplygin’s auxiliary function due t…
This study examines isotope exchange reactions between halogenated or aromatic hydrocarbons and deuterium-containing partners in the presence of aluminum chloride, with the aim of testing cationic exchange pathways. Using deuterium analysis and, for the toluene and benzene system, carbon-14 labeling…
This paper studies asymptotic behavior of solutions to boundary-value problems whose boundary data oscillate rapidly along time or boundary coordinates. Extending earlier work on elliptic equations, it treats parabolic equations, hyperbolic equations, elliptic operators with a small degenerating par…
This paper reports the synthesis of cancerolytic peptide derivatives containing sarcolysine and related beta chloroethylamino aromatic acyl groups. Using 1,3-dicyclohexylcarbodiimide condensations, the authors prepared N-formylsarcolysine dipeptide esters, phenacetylsarcolysine ester, N-acyl amino a…
The paper develops a theory of cyclotron resonance in single-crystal metal films in the regime of a sharply anomalous skin effect, focusing on how a finite film thickness modifies the surface impedance when the thickness is smaller than the electron orbit diameter. Using Maxwell’s equations and the …
This paper reports 1957 experiments at the Institute of Atomic Energy on the possible production of element 102 by irradiating plutonium-239 and plutonium-241 targets with 102 MeV oxygen-16 ions in a cyclotron. The authors describe a recoil collection and photographic emulsion method designed to det…
This paper reports extended field measurements of shear stress relaxation along the lateral surface of loaded piles frozen into permafrost soils at the Yakutsk research site. Using electrical strain measurements in instrumented duralumin pile tubes under stepwise tensile and compressive loads, the s…
This paper examines why organic compounds and polymers containing labile bonds often show much greater thermal stability in the solid state than in solution or melt. Using thermal decomposition of methylphenyltriazene in hydrocarbon, polymer, and hydrocarbon-polymer media, the authors relate decreas…
Photoelectric measurements of the zenith twilight sky were made at several visible wavelengths and compared with numerical calculations of first order scattering in a spherical atmosphere, including absorption by ozone. The comparison shows that first order scattering accounts for observed brightnes…
This note addresses the weakened Burnside problem for groups with a fixed finite number of generators and prime exponent, reducing the question to a nilpotency problem for Lie rings of characteristic p satisfying an Engel condition. Using iterative constructions of special Lie elements and an analys…
This paper studies the distribution of divisor functions and values of primitive positive binary quadratic forms in arithmetic progressions, especially for moduli too large for existing estimates based on Kloosterman sums. It develops mean square, or dispersion, estimates showing that the expected a…
This note studies the distribution of nodes required for uniform convergence of S. N. Bernstein’s modified interpolation process on the interval \([-1,1]\), in contrast to the classical impossibility result for ordinary Lagrange interpolation on arbitrary continuous functions. It proves that if Bern…
The note studies the asymptotic behavior of solutions to systems of linear equations with infinite matrices whose entries vary smoothly with the indices. It first derives explicit formulas and limiting results for finite banded Toeplitz systems in terms of the zeros of an associated Laurent polynomi…
The paper develops embedding theorems for classes of functions of several variables whose partial derivatives with respect to different variables are measured in possibly different Lebesgue metrics. It defines anisotropic classes with separate smoothness orders and exponents, then proves conditions …
The note presents a standard construction that associates to each pair of isometric surfaces in elliptic or Lobachevsky space a pair of isometric surfaces in three-dimensional Euclidean space, and conversely constructs corresponding pairs in spaces of constant curvature from Euclidean isometric surf…
This paper develops a relaxation model for the amplification of shock waves passing through a combustion zone in explosive mixtures, motivated by experimental observations for benzene and air. It introduces a diffusion kinetic relaxation time comparable to the reaction time and derives expressions f…
This paper develops an approximate treatment of the quantum many-body problem for a Bose gas in the regime where the condensate population need not be large. Using a canonical transformation of Bogolyubov type, with parameters determined by minimizing the mean Hamiltonian at fixed particle number, t…
The paper analyzes heat transfer in the boundary layer on a rotating disk, comparing the turbulent tangential momentum equation with the energy equation for an incompressible fluid. It shows that for a quadratic wall-temperature distribution and unit Prandtl number, the temperature and tangential-ve…
This paper studies Temlyakov integral representations for analytic functions of two complex variables in bicircular domains with specified convexity properties. It establishes continuity and analyticity properties of Temlyakov integrals of the first kind under Hölder-type boundary assumptions, analy…
This study examines isotopic exchange in molecular nitrogen on iron catalysts for ammonia synthesis with different contents of potassium oxide and aluminum oxide promoters, addressing conflicting reports on their effect at low pressures. Catalyst samples were reduced, passivated, reactivated, and te…
This paper reports preliminary experimental measurements of the ellipticity of polarization in light scattered by near-ground atmospheric layers, a quantity relevant to multiple scattering and to characterizing aerosol contributions. The authors used a visual polarimeter with a quarter-wave plate, W…
The paper studies second-order linear differential equations with periodic coefficients, focusing on bounds for Floquet multipliers when the coefficient is a generalized derivative \(p=q'\) with a fixed quadratic constraint on \(q\) and zero mean. It establishes sharp restrictions on which instabili…
