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
The paper studies the limiting behavior, as a small parameter tends to zero, of solutions to a mixed boundary value problem for second order elliptic differential equations with Dirichlet conditions on one part of the boundary and oblique derivative conditions on another. The method represents the s…
This paper examines the infrared spectra of blue organometallic complexes formed by the interaction of titanocene dichloride with triethylaluminum or diethylaluminum chloride, systems relevant to soluble low pressure ethylene polymerization catalysts. The authors prepared the complexes under argon i…
This study examines how hydrostatic pressure affects the room-temperature crystal structure of tetragonal barium titanate, a ferroelectric material whose lattice distortion is small and therefore difficult to resolve by conventional high-pressure X-ray methods. The authors constructed a special atta…
This note gives a proof that every unitary irreducible representation of the full real or complex matrix group remains irreducible when restricted to the subgroup whose last row is fixed as \((0,\ldots,0,1)\). The argument avoids explicit classification formulas for representations and instead uses …
The study examines how methyl substitution in the aromatic ring affects the catalytic dehydrogenation kinetics of alkylaromatic hydrocarbons. The authors measured the dehydrogenation of m-isopropyltoluene, symmetrical isopropylxylene, and symmetrical ethylxylene in a steam diluted flow system over t…
This paper examines stress relaxation in isotactic crystalline polypropylene and distinguishes true relaxation processes from stress loss caused by cracking. Specimens stretched at 140°C were interrupted at different times and examined microscopically, with comparison to amorphous polypropylene, whi…
This study examines the phase composition and microstructure of nickel, chromium, boron alloys containing up to 50 at.% boron, with emphasis on alloys containing 33 to 50 at.% boron and on low boron boundary regions. Alloys prepared from high purity components were annealed at 1000°C and analyzed by…
This paper studies stability criteria for the second order linear equation with periodic coefficient, focusing on the zero stability zone in the sense of Lyapunov. It proves a lower estimate for the separation of zeros of nontrivial solutions under integral bounds on the positive part of the coeffic…
This paper studies a singularly perturbed autonomous system near a two-frequency torus generated by periodic solutions of the corresponding reduced system. Under smoothness assumptions, negativity of the real parts of the fast eigenvalues, and stability conditions for the nonzero characteristic expo…
This note studies spectral and metric isomorphism questions for normal dynamical systems through the spectral invariants of unitary multiplication operators. It relates the spectral invariants of an operator defined by multiplication by an exponential to Rokhlin’s metric invariants of the underlying…
This paper studies measurable functions integrable in the sense of the A-integral, defined through limits of truncated integrals together with a tail condition, and addresses the failure of ordinary almost everywhere A-integrability to behave well under multiplication. It shows that multiplication b…
This study examines how water vapor affects molecular ionic forms of anthracene adsorbed on aluminosilicate and related adsorbents, using diffuse reflection absorption spectra. Anthracene adsorbates on aluminosilicates were exposed in vacuum to controlled water vapor pressures, including capillary c…
This study examines the mechanism of radiation induced oxidation and reduction in the methylene blue, leuco base system in organic solvents by combining low temperature spectrophotometry with electron paramagnetic resonance detection of radiolysis radicals. Frozen methanolic, acetone, and nitrometha…
This paper formulates an analogue of the first boundary-value problem for a class of stable hypoelliptic differential operators in a bounded domain. It defines a Hilbert space associated with the principal quadratic form, introduces a generalized solution through an integral identity, and uses coerc…
This paper studies conditional stability of the zero solution for analytic systems of differential equations in a critical case, where the linear part has one block with eigenvalues of positive real part and another with eigenvalues of nonpositive real part. Building on the known invariant manifold …
This paper reports measurements of the saturated vapor pressure of niobium dioxide using a differential Knudsen effusion method with a molybdenum effusion chamber and radiolabeled material. Vapor pressures were determined at high temperatures, after calibration with silver, and fitted by the relatio…
This paper reports the synthesis of silicon-containing aminoketones, amino alcohols, and phenoxyacetate esters based on p-trimethylsilylmethylphenyl ketones, compounds of interest for possible physiological activity. Trimethylbenzylsilane was acylated to give several p-siliconeopentyl ketones, two o…
This paper develops a method for incorporating short-range repulsive forces into the equilibrium statistical description of a classical multicomponent system of Coulomb particles. Starting from the Bogolyubov chain equations, it introduces a separation of the short-range factor and expands the effec…
The paper examines the stability of Hartmann flow of a highly conducting incompressible viscous liquid between parallel plates across a magnetic field, focusing on the limiting case of large Hartmann number where the velocity is nearly uniform outside thin boundary layers. In a frame moving with the…
Low-temperature heat capacities and thermodynamic functions were determined for endo- and exo-2-cyano-bicyclo-(2,2,1)-heptane, stereoisomeric plastic-crystal-forming compounds differing in the orientation of the cyano group. Using vacuum adiabatic calorimetry from about 12 K to above the melting poi…
This study examines how the alkali cation in alkaline electrolyte affects proton diffusion in nickel oxide films, a process relevant to the kinetics of nickel oxide electrodes in alkaline storage batteries. Using anodized nickel foil with a thin oxide film, the authors measured changes in anodic cur…
This paper investigates whether relatively slow potassium ions can excite valence electrons into the conduction band of germanium, a process often neglected in treatments of ion implantation and sputtering at velocities well below the Bohr velocity. The authors measure transient changes in the condu…
This paper develops a statistical mechanical treatment of energy and particle transport between two systems connected by a capillary or membrane and maintained at different temperatures and chemical potentials. Using conservation laws, nonequilibrium statistical operators, and a linear expansion in …
The study examines the mechanism and direction of bond cleavage in the hydrolysis of vinyl ethyl, vinyl isopropyl, vinyl n-butyl, and alpha-chloroethyl ethers. Using water enriched with oxygen-18 and isotopic analysis of the alcohol products, the authors compare reactions under sulfuric acid catalys…
This paper examines quasiradical block copolymerization of conjugated aromatic polymers, focusing on the interaction of polyphenylene and polyazophenylene with p-diethynylbenzene under inert atmosphere at elevated temperature. Elemental analysis, infrared spectra, thermal stability measurements, EPR…
This paper studies nilpotent algebraic linear groups over perfect fields, extending structural results previously established mainly over algebraically closed fields. It proves several auxiliary results, including finiteness of periodic algebraic matrix groups in characteristic zero, nilpotency of t…
This paper studies strongly continuous semigroups of operators on Fréchet spaces in cases where the usual bounded-orbit condition required in the Hille-Yosida-Phillips theorem holds only on an everywhere dense subset. It develops conditions under which such dense subsets form suitable Fréchet spaces…
This paper examines buckling surfaces associated with local loss of stability in thin circular cylindrical, conical, and spherical shells under compression or external pressure. It proposes a method that separates determination of the buckling form from determination of the critical load, using nonl…
This paper examines how the multiple V=O bond in vanadyl ions responds to changes in solvent isotopic composition, using nuclear magnetic relaxation of solvent protons as an indicator of bond state. Proton relaxation times were measured for freshly prepared vanadyl sulfate solutions in ordinary wate…
This paper characterizes Fourier transforms of certain generalized functions defined through square mean estimates of finite differences. It proves that every generalized function in the class of derivatives of locally summable functions satisfying a Wiener type \(L^2\) central difference condition …
The paper studies when Boolean functions can be realized with arbitrarily high reliability by deterministic circuits built from a mixture of error-free elements and unreliable elements whose independent error probabilities are bounded below one half. Using Post’s theory of closed classes, it gives n…
The paper examines how experimentally observed absorption spectra in condensed media differ from the true spectral characteristics of absorbing particles. By comparing energy absorption expressions based on Bouguer’s law with Einstein absorption coefficients, it derives a frequency dependent correct…
This paper examines the slow step in radiolytic oxidation by hydrogen atoms under the Weiss mechanism, focusing on whether oxidation kinetics are governed by competition between hydrogen ions and another hydrogen atom acceptor. Experiments on deoxygenated sulfuric acid solutions containing FeII with…
This paper reports the preparation and characterization of previously undescribed tin and lead hydrocarbons containing 1,3-enyne radicals. The authors show that trialkyltin sodium and trialkyllead sodium react with alkenyl bromoacetylenes in liquid ammonia to give the corresponding enyne organotin a…
This note studies statistically similar zones for families of measures in repeated sampling, focusing on linear zonal statistics whose distributions do not depend on a scalar parameter. Using characteristic functions and methods from the theory of identically distributed linear statistics, it proves…
This paper examines the theoretical determination and transferability of electro-optical parameters used to calculate intensities and polarizations in infrared absorption spectra of polyatomic molecules. Within the valence-optical framework, the authors analyze the inverse problem of deriving bond d…
The paper examines the quasilinear development of electrostatic instability in a rarefied fully ionized plasma placed in a strong magnetic field, where oscillation frequencies and plasma pressure are small relative to the corresponding magnetic scales. By expanding the quasilinear kinetic equations …
This study examines how acidity affects exchange interactions between electron spins in aqueous vanadyl salt solutions, using electron paramagnetic resonance spectra of vanadyl chloride at different concentrations and acidities. Acid additions have little effect in dilute solutions, but in concentra…
The paper gives a functional analytic formulation of A. I. Markushevich’s duality principle for linear topological spaces forming a dual system. It proves that, for a continuous linear operator between such spaces, relative completeness of the image system in the operator range is equivalent to a co…
This note studies determining sets in a Hilbert space of Fourier transforms of square integrable functions supported in a bounded domain, where the problem is to characterize when a norm defined by integration over a measurable subset is equivalent to the usual norm. It introduces a refined set char…
This note studies the Dirichlet problem for a singularly perturbed elliptic equation whose coefficients may have first-kind discontinuities across a smooth hypersurface inside the domain. Using a stopped Markov diffusion associated with the operator, the solution is represented as the expected bound…
The paper develops a parametrization of the proper orthochronous Lorentz group by a three-dimensional complex vector and derives the corresponding composition law. Using a matrix representation built from antisymmetric matrices associated with the parameter, it shows how rotations, boosts, and their…
This study examines complex formation of thorium with several organic acids, including malic, trihydroxyglutaric, tartaric, alpha-hydroxyisobutyric, mandelic, acetic, thiosalicylic, and p-aminosalicylic acids, using ion exchange, infrared spectroscopy, and proton nuclear magnetic resonance. Ion-exch…
This note extends asymptotic formulas for solutions of singularly perturbed ordinary differential systems with a small parameter multiplying the highest derivative from finite intervals to the semi-infinite interval. For a scalar fast and slow variable system, the argument imposes stability of the a…
The paper studies boundary value problems for a second order differential equation in a Hilbert space, motivated by questions from periodic waveguide theory. It reduces the equation to first order systems and then to integral equations, analyzing self-adjoint boundary conditions and the compactness …
This paper examines the mechanism by which a latent electrophotographic image forms in zinc oxide layers, focusing on the role of a surface potential barrier in the discharge of surface charge under illumination. The authors propose a model in which negative surface charges are trapped in a potentia…
This note extends work related to Kloosterman’s formula and Linnik’s generalized additive problem for norms of ideals by addressing the dependence on an unproved form of Siegel’s theorem and the possible vanishing of the singular series. It outlines a proof of a Siegel-type bound for exceptional rea…
This note extends S. N. Bernstein’s inequality for applying a polynomial differential operator to a trigonometric polynomial of degree n. It shows that the theorem, originally proved for real polynomials with only real zeros and illustrated by a special family with nonreal zeros, remains valid when …
