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 note generalizes Moore’s theorem on convergence multipliers for summable series from scalar Voronoi-Nörlund methods to series with terms in a Banach space and operator-valued multipliers between Banach spaces. For a normal numerical matrix satisfying a summability condition on its inverse coeff…
The paper studies completeness of systems of powers \(z^{\lambda_k}\), with nonnegative integer exponents, on unbounded curves in the complex plane under weighted \(L_2\) approximation. Extending earlier polynomial completeness results, it gives sufficient conditions in terms of the density of the o…
The paper studies generalized solutions of linear differential-difference equations with constant coefficients on bounded domains, formulated in spaces of compactly supported smooth functions and their duals. Using the Fourier transform, the equation is reduced to multiplication by an exponential po…
This paper investigates how sheet thickness affects the temperature dependence of coercive force in nickel and iron-nickel alloys, especially in the thin range where coercivity rises sharply. Coercive force was measured ballistically from minus 196 to 300 degrees Celsius for rolled and annealed spec…
This note examines the statistical basis of corrections to the Debye theory of strong electrolytes, focusing on the Debye, Debye-Hückel, and Bjerrum treatments of the ionic contribution to free energy. Using Bogolyubov’s method of correlation functions, the authors derive an approximate binary corre…
This paper investigates the synthesis and characterization of alkylgermanium hydrides and the previously unreported organic alkylgermanium deuterides. A series of methyl and ethyl substituted germanium hydrides and deuterides was prepared from corresponding alkylgermanium halides using lithium hydri…
This paper reports shipboard measurements of telluric currents in the Atlantic Ocean and considers their possible role in magnetic declination and the latitudinal component of the geomagnetic field. Using paired lead electrodes lowered from the vessel Sedov, the author measured potential gradients a…
The paper studies oscillation and nonoscillation of solutions to the linear equations \(y''' + p(x)y = 0\) and \(y^{\mathrm{IV}} + q(x)y = 0\), where the coefficients are continuous on a half-line. It establishes Sturm-type separation bounds for zeros under sign restrictions on the coefficients, pro…
This paper formulates boundary conditions for generalized hydrodynamics of a monatomic gas at a nonuniformly moving, heat-conducting boundary with partial accommodation and mixed diffuse and specular reflection. Starting from a Maxwell-type kinetic boundary condition in the frame of the moving surfa…
This paper investigates the electrons responsible for hard X-ray emission in powerful pulsed hydrogen discharges, motivated by earlier evidence that such radiation may share a mechanism with neutron emission in deuterium discharges. The authors use a discharge chamber with an axial aperture, photogr…
This study examines the preparation of sodium carboxymethylcellulose suitable for blood-substitute solutions, focusing on how degree of polymerization, degree of etherification, purification, and degradation method affect biological performance. More than forty carboxymethylcellulose preparations we…
This note studies the stability of partial indices for the Hilbert boundary value problem with several unknown functions, where the coefficient is a nonsingular Hölder continuous matrix on a smooth contour. The authors characterize stable systems of partial indices: stability holds exactly when the …
Using oxygen-18 isotopic tracing and mass spectrometric analysis, this study examines the anodic formation, hydrolysis, and thermal decomposition of percarbonate, perborate, and perphosphate salts. The results indicate that water oxygen does not participate in the electrolytic formation of percarbon…
This paper investigates the use of transmission electron microscopy with colloid and carbon replica techniques to visualize ferroelectric domain structures beyond the resolution of optical microscopy. Replicas from etched and unetched barium titanate and Rochelle salt single crystals reveal domain r…
This paper examines the nature of bonding between platinum and unsaturated molecules in complex compounds, focusing on ethylene, propylene, and carbon monoxide complexes. Through critical analysis and reproduction of infrared spectra, together with calculations of skeletal vibrations and force const…
This paper examines the implementation of discrete correctors for signal systems that detect and correct distortions, emphasizing single-cycle circuits that reduce correction time and relay-element requirements compared with multicycle receiving devices. It formulates the construction of correctors …
This note studies the stability and limiting behavior of Fredholm integral equations when a kernel is discontinuously perturbed, in the case where the unperturbed equation has an eigenvalue at one and hence a family of solutions. It analyzes perturbations obtained by removing a small interval from t…
This study examines the mechanism of iodination of aromatic amines, aminocarboxylic acids, and aminosulfonic acids by comparing reaction kinetics for protiated and deuterated substrates. Rate measurements under varied iodine, iodide, amine, and buffer conditions show that most reactions follow a tri…
This paper proposes a phenomenological model of proton structure motivated by experimental indications of a nonpoint charge distribution. Treating the proton as a fixed core surrounded by a single meson cloud, the author formulates a relativistic wave equation for a spin-zero meson interacting with …
This paper studies the nonlinear boundary value problem arising in the longitudinal bending of a rod with variable stiffness, reformulated as a nonlinear integral equation for the curvature. Using methods developed by Uryson, it constructs positive solutions by successive approximations from a suita…
This note examines limiting cases of the Plemelj-Privalov theorem for singular Cauchy type integrals on a Lyapunov curve, focusing on the endpoints of the usual Hölder scale where the classical equivalence fails. It introduces function classes defined by second-difference conditions and by best appr…
This paper examines topochemical diffusion processes in which growth of a porous product layer slows reaction by increasing the diffusion path, producing the usual parabolic rate law under constant external concentration. Using a quasistationary approximation with a linear concentration gradient and…
The study investigates the equilibrium potentials and valence state of zirconium in molten lithium chloride and potassium chloride eutectic melts containing zirconium chlorides. Using zirconium or molybdenum electrodes against a chlorine reference electrode, the authors followed the reduction of tet…
This paper examines the motion of fast polarons in polar crystals in the strong-coupling limit, with attention to velocities at which resonance with optical lattice vibrations becomes important. Using a semiclassical variational treatment with velocity-dependent trial wave functions and anharmonic d…
This paper investigates reactions of monomercurated carbonyl compounds that proceed with transfer of the reaction center from carbon to oxygen, enabling preparation of metallic derivatives of vinyl alcohol. Lithium and sodium vinylates were obtained by cleavage of the mercury-carbon bond in mercurat…
This paper studies the torsion of an infinite cylindrical shaft with a circular annular groove, focusing on the determination of maximum shear stresses where exact solutions are unavailable. Using the method of majorant domains, it constructs upper and lower bounds for the stress vector and derives …
This paper describes the preparation of new organosilicon intermediates and titanium-organosilicon derivatives containing mixed alkyl and aryl substituents at silicon, developed to study the effect of such siloxy groups on titanium compounds. Phenyldimethylchlorosilane and methyldiphenylchlorosilane…
This study examines equilibrium deuterium distribution in hydrogen isotope exchange between water and several thiols containing S-H groups, a class of systems for which prior data were limited. Normal butanethiol, secondary butanethiol, isoamylthiol, normal hexanethiol, and thiophenol were synthesiz…
This study examines the previously unreported isomerization of gamma-oxides, specifically tetrahydrofuran and alpha-substituted tetrahydrofurans, into aliphatic carbonyl compounds. The authors pass these compounds in the vapor phase over platinized charcoal at about 235 to 250 degrees and analyze li…
This study examines whether catalytic hydrogenolysis of the furan ring proceeds through hydrogenation to a dihydrofuran or tetrahydrofuran intermediate before cleavage of the carbon oxygen bond. The authors compare vapor phase hydrogenation of silvan and dihydrosilvan at 250 to 260°C over platinized…
This paper develops a theoretical explanation for bubble formation in superheated liquids traversed by fast charged particles, addressing observed dependences of bubble density on particle velocity and liquid parameters. It estimates the radial localization of energy loss around a particle track, in…
This study examines the relationship between the structure of phenazine derivatives and their ability to form free nitrogen radicals. A series of monoacyldihydrophenazines was synthesized, characterized by melting points, elemental analysis, dipole moments, and ultraviolet spectra, and then oxidized…
This paper studies a boundary value problem for first order linear elliptic systems in a simply connected plane domain, reduced to a complex equation in the unit disk with measurable principal coefficients satisfying a uniform ellipticity bound. The analysis treats separately nonnegative and negativ…
This paper studies the Milne problem for radiative transfer in a plane parallel half space with absorption and an arbitrary scattering indicatrix, a case not reducible in general to the classical scalar integral equation treated by Hopf-Wiener methods. Working directly with the integral equation, it…
This study examines how association of organic acids affects their adsorption from nonpolar solvents on siliceous adsorbents. Adsorption isotherms were measured for formic and acetic acids in cetane and alpha-methylnaphthalene on natural tripoli and KSK silica gel at 20 and 60 degrees, with molecula…
This study examines fission products formed when lanthanum oxide is irradiated with 660 MeV protons, a case in which low fission yields are difficult to distinguish from more abundant spallation products. The authors used radiochemical separation, including anion exchange chromatography and addition…
This paper studies singularly perturbed differential systems whose fast variables form, in the limit of a small positive parameter, a Hamiltonian system with closed phase trajectories. By introducing action-like variables based on the Hamiltonian level curves and a phase variable along each periodic…
This paper develops a representation theory for uniformly elliptic first-order systems of 2n real equations in the plane, written in a complex canonical form involving a matrix coefficient Q. Extending Vekua’s theory for the scalar case, it introduces Q-holomorphic vectors, constructs a Cauchy kerne…
This paper examines whether glassy polymers can be treated as solid sorbents whose porosity is evaluated by vapor sorption of liquids inert toward the polymer. Sorption isotherms at 25 degrees C were measured for methyl alcohol on two polystyrene fractions and for n-hexane on cellulose, polyvinyl al…
This paper develops an electronic theory for the adhesion of two metals separated by a thin semiconducting interlayer, focusing on the electrostatic contribution produced by overlapping double layers at the metal-semiconductor boundaries. Under assumptions of one carrier type and weak ionization of …
This paper develops a band-theory description of the formation of a latent electrophotographic image in photoelectrets, using kinetic equations for electron transitions between the valence band, conduction band, and trapping levels in a sulfur single-crystal model. It argues that the electrophotogra…
This paper examines the mechanism of anodic dissolution of magnesium in aqueous solutions, focusing on the negative difference effect and the role of an unstable monovalent magnesium intermediate. The authors propose a branched reaction scheme in which adsorbed monovalent magnesium either undergoes …
This paper develops a theory of Stark broadening of spectral lines in a plasma that treats the radiating atom as perturbed by the collective electric field of many moving charged particles, rather than by successive binary encounters alone. Within a classical, random, homogeneous, and adiabatic fiel…
This note addresses an inverse problem in potential theory concerning how a mass-bearing region must change when its density is increased while its exterior potential is kept fixed. Using a harmonic test-function method attributed to V. P. Simonov, it proves that for two star-shaped plane regions wi…
This paper examines the relation between permanent internal photopolarization in dielectrics and the formation of latent electrophotographic images, using polycrystalline sulfur photoelectrets and electrophotographic development by triboelectrically charged powders. It establishes an approximately l…
The paper evaluates the practicality of applying the alternating Schwarz method on electronic digital computers to the finite difference Dirichlet problem for the Laplace equation in a rectangular domain subject to internal storage limitations. It derives convergence estimates for a two-subdomain de…
This paper reports the synthesis and characterization of a series of arylalkylsilanes, focusing on phenylalkylsilanes, 3,4-xylylalkylsilanes, and previously undescribed 4-isopropylphenylalkylsilanes. The compounds were prepared chiefly through reactions of magnesium or lithium organometallic reagent…
This paper examines how the length to diameter ratio of a heated vertical tube affects critical heat flux during forced flow of steam, water mixtures and subcooled water. Experiments were performed in 3 mm stainless steel tubes of 150 and 35 mm length at pressures of 26 and 180 ata, mass velocities …
This note studies the fundamental solution of a homogeneous linear partial differential equation with constant coefficients, under the assumption that the characteristic cone of the associated polynomial has no singular points away from the origin. Using a regularized spherical integral representati…
