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 studies the cohomological equation for a measurable flow on a Lebesgue space with an indecomposable invariant measure, seeking an \(L^2\) function whose derivative along trajectories equals a given observable minus its mean. Using the spectral representation of the unitary group associated…
The paper studies the Dirichlet problem for a general elliptic system of two second-order differential equations in a bounded simply connected plane domain, with emphasis on when the problem is normally solvable rather than merely elliptic. It identifies boundary conditions on the characteristic roo…
An emulsion chamber exposed to 9 BeV protons was used to study 760 inelastic proton interactions with nucleons, separated into 492 proton-proton and 268 proton-neutron events by scanning along particle tracks and identifying secondary particles through multiple scattering and ionization measurements…
This paper examines hydrogen bonding in pi-electron systems and its influence on proton nuclear magnetic resonance, arguing that such bonds may form quasiaromatic six-membered rings in which pi-electron interaction is a decisive energetic contribution. Using NMR and infrared measurements in carbon t…
The study examines the polarographic behavior of nitroform, halotrinitromethanes, and tetranitromethane at a dropping mercury electrode in methanol, water buffer solutions over a broad pH range. Measurements of wave form, half-wave potential, limiting current, buffer capacity, salt concentration, su…
This note extends Jackson type approximation results of Timan, Dzyadyk, Freud, Brudnyi, and Trigub to bounded functions defined outside an interval or on separated unions of intervals. It proves the existence, for every positive degree parameter, of entire functions of finite exponential degree that…
This paper examines emulsion polymerization using surface-activated initiation as a way to combine high polymerization rates with easier isolation of the polymer product. The authors study how N-alkylpyridinium bromides and substituted derivatives activate the decomposition of cumene hydroperoxide i…
The paper studies the analytic structure of solutions to the nonlinear membrane equation for a circular thin plate under three boundary conditions: prescribed contour tension, absence of shearing forces, and absence of radial contour displacements. For the tension and displacement conditions, the eq…
This note studies one-dimensional diffusion processes depending on a numerical parameter and associated with parabolic equations whose diffusion coefficient may vanish. Under Hölder and boundedness assumptions on the coefficients and on the initial random variable, it establishes mean-square and alm…
This paper develops a theory for cylindrical bending of three-layer plates with light cores and fiberglass skins, accounting for reversible high-elastic deformation in the skins in addition to ordinary elastic strain. Using assumptions for a transversely compliant core and Reissner-type facings, the…
The paper studies when the Banach space of continuous functions on an n-dimensional cube can be isomorphically embedded into the space of continuous functions on an m-dimensional cube, with n greater than m, so that functions with a prescribed smoothness are sent to functions with higher prescribed …
The paper examines whether the Lehmann, Symanzik, and Zimmermann asymptotic condition follows from an alternative axiomatic formulation of quantum field theory based on Bogolyubov’s causality condition. Defining the Heisenberg field through the S-matrix and deriving a Yang-Feldman type representatio…
This note develops game theoretic models for collective behavior of interacting automata, emphasizing games in which each player’s payoff depends only on a small set of neighboring players. It defines and relates several classes of games, including Nash games, K-games with simultaneous maximization …
This study examines the kinetics and mechanism of bismuth discharge and ionization at bismuth amalgam electrodes in perchloric acid solutions using combined radiochemical and electrochemical measurements with bismuth-210. True anodic and cathodic rates, exchange currents, transfer coefficients, and …
This study investigates how polymerization affects electron-density distribution between iron atoms and ligands in several polyferrocenes. Iron K-edge x-ray absorption spectra were measured for five polyferrocene samples and compared with spectra of ferrocene and ferricinium, using corrected photogr…
This note addresses how to choose defining parameters that characterize the geometric anisotropy of a continuous medium, with emphasis on media classified by point symmetry groups such as crystals and textures. It formulates a tensorial framework in which tensors invariant under a given finite or co…
The paper examines the determination of Regge singularities from equations of Bethe-Salpeter type, motivated by difficulties in extracting Regge poles directly from perturbation theory when pole and cut contributions are mixed. It first analyzes the Schrödinger equation with Yukawa-type interactions…
This paper studies oscillation of solutions of nonlinear nonautonomous second order equations in the presence of multiple equilibrium positions. It proposes a classification of motions by zeros relative to equilibria, defines corresponding domains of initial data, and formulates problems concerning …
This study examines the high-temperature dissociation kinetics of carbon dioxide, for which rate data were lacking, using shock-tube experiments behind strong shock waves. Ultraviolet absorption at 2380 and 3000 Å was measured in heated carbon dioxide over temperatures of about 1300 to 6300 K, and t…
This note studies differentiability at zero, and at general points, of the Nemytskii operator between Orlicz spaces under Carathéodory assumptions. It establishes necessary conditions showing that a differentiable nonlinear operator requires the domain Orlicz function to grow essentially faster than…
This study examines the preparation of ammonium and hydrogen ion-exchange forms of type X zeolite, motivated by the difficulty of obtaining hydrogen zeolites through direct acid exchange. Sodium X zeolite was treated with ammonium salts under varied anion, concentration, temperature, and repeated-ex…
This paper studies the convolution ring of finite, locally constant functions on the group of unimodular two by two matrices over a totally disconnected locally compact nondiscrete field of characteristic not equal to two. Using the continuous and discrete series of representations of the group, the…
This note addresses Phragmen-Lindelof type growth questions for harmonic functions in a three-dimensional half-cylinder, especially when both the function and its normal derivative may grow on the lateral boundary. Using a modification of an integral representation method, it establishes a represent…
This paper examines possible applications in extragalactic astronomy of the gravitational deflection of light by galaxies, especially the observation of background “screened” galaxies whose images may appear as rings around foreground galaxies. It derives expressions for the illumination enhancement…
This study examines the mechanism of methyl-group migration in toluene under the action of aluminum bromide and hydrogen bromide, using toluene labeled with carbon-14 at a defined ring position. The authors formed the toluene, aluminum bromide, hydrogen bromide complex, decomposed it after reaction,…
This note studies projections, or structural isomorphisms, of arbitrary torsion-free metabelian groups, with particular attention to non-locally cyclic groups. Using preliminary lemmas on induced correspondences over abelian subgroups, two-generator torsion-free metabelian subgroups, and the behavio…
The paper improves the remainder term in Mertens’ formula for the partial Euler product at one. It introduces an averaged Euler product and analyzes its logarithmic derivative by means of a contour integral involving the logarithmic derivative of the Riemann zeta function, followed by standard conto…
This paper investigates the chemical form of organically bound germanium in brown coal, focusing on its association with humic acids and related functional groups. Vitrain fractions were treated with alkali and hydrogen peroxide to separate natural and regenerated humic acids, and the distribution o…
This paper studies the semiclassical scattering problem for the Schrödinger equation with a rapidly decreasing holomorphic potential, focusing on the asymptotics of the wave function and scattering amplitude as the Planck parameter tends to zero. The method reformulates the quantum problem in terms …
This paper examines how oxygen acts on oleic acid, an oxyhydryl flotation reagent, in order to clarify why aeration can improve mineral recovery and separation. Oleic acid was treated with oxygen and nitrogen for different times, peroxide numbers were measured chemically, and infrared spectra were r…
This paper proposes an interpretation of the Earth’s core transition layer F based on pressure-dependent crystallization in an iron, silicon liquid alloy. Using a qualitative phase-diagram argument, it suggests that silicon is progressively excluded during inner-core growth, producing density change…
This study examines the hydration kinetics of the principal Portland cement clinker minerals during hydrothermal treatment below 100°C, a temperature range important for accelerated hardening of reinforced concrete products. Synthesized clinker minerals were hydrated at several temperatures, the deg…
The paper analyzes automatic control systems with variable structure in the case where the operator multiplying the discontinuous control term is not unity, causing the switching function itself to become discontinuous. Using generalized derivatives, the authors reformulate the system through contin…
This paper studies Fourier-type transforms associated with a second-order boundary-value problem on the half-line for the operator defined by a complex potential satisfying an exponential decay condition and a general complex boundary parameter. Using spaces of test functions and generalized functio…
This study examines the photo and thermal decomposition of diphenylmercury, tetraphenyllead, and hexaphenyldilead in benzene using deuterium labeling and low-voltage mass spectrometry. Experiments with organometallic compounds in deuterated benzene, and with deuterated organometallic compounds in or…
This paper formulates regularization for ill-posed problems, with emphasis on Fredholm integral equations of the first kind and related inverse problems where exact solutions may fail to exist or depend discontinuously on data. It defines regularizing algorithms and constructs them through minimizat…
This study examines the mechanism of ethylene polymerization in cyclohexane using the soluble catalytic system tetraphenyltin, aluminum bromide, and vanadium tetrachloride, with particular attention to the role of aluminum bromide. Polymerization experiments varying component ratios show that cataly…
The paper develops a general method for constructing integral rational bases of polynomial tensor invariants for crystallographic groups, extending earlier procedures for invariant tensors. It formulates the problem through group averaging operators acting on spaces of monomials in tensor components…
This paper examines the relationship between thermodynamic stability and kinetic reactivity in complex compounds, prompted by recent nuclear magnetic resonance data on exchange reactions in mercury, cadmium, and zinc halide complexes. Comparing those results with earlier studies of platinum(II) comp…
This study examines reversible complex formation between palladium chloride and ethylene in strongly acidic aqueous chloride solutions, motivated by conditions under which ethylene oxidation by palladium chloride is inhibited. Ethylene solubility was measured at constant pressure in thermostated sol…
The paper studies the Dirichlet problem for equations involving the Monge-Ampère operator, focusing on cases where the right-hand side may have high growth in the gradient variables and where the boundary curve may have curvature that vanishes. It develops estimates for generalized convex solutions …
This paper studies first boundary-value problems for two classes of differential operators: anisotropic hypoelliptic operators with semi-bounded principal part, and operators of odd order in one distinguished variable and even order in the remaining variables, including parabolic-type cases. Using g…
This note studies convergence of the collocation method for boundary value problems involving ordinary and partial integro-differential equations. Using Kantorovich’s general theory of approximate methods, it formulates solvability and convergence theorems for polynomial collocation approximations w…
This study examines how halide ions depassivate passive iron based alloys and promote pitting, using activation potential as the main electrochemical criterion. Anodic polarization and potential time measurements were applied to Fe Cr and Fe Cr Ni alloys in halide solutions while varying halide conc…
This paper examines the stability loss of a thick, freely supported rectangular plate uniformly compressed in one direction, explicitly accounting for rotation angles in the sense of Novozhilov’s stability theory. Using small elastic plastic deformation relations for an incompressible material, the …
The paper proves two general theorems for estimating the error of approximate solutions of linear equations when the error is measured in a normed subspace rather than in the whole underlying linear space. These results are applied to Wiener-Hopf integral equations, first-kind equations with general…
This study examines how structural features of ether solvents affect solvation in the formation of sodium diphenyl and sodium naphthalene anion radicals. Equilibrium radical concentrations were compared in more than twenty ethers using electronic absorption and EPR measurements, and related to hydro…
This study examines ammonium pyrrolidinedithiocarbamate as an analytical reagent for niobium, focusing on conditions for quantitative precipitation and solvent extraction of the niobium complex. The reagent was synthesized and tested with niobium solutions prepared in tartaric, citric, and oxalic ac…
