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 develops properties of Orlicz classes and Orlicz spaces generated by variable N-functions on sigma-finite measure spaces. It introduces a generalized Delta2 prime condition, relates it to derivative inequalities for a variable N-function and its complementary function, and establishes den…
A local approximation is developed for the electrodynamics of London superconductors using microscopic Green’s function equations in a magnetic field. After extracting gauge-invariant phases and passing to a mixed coordinate-momentum representation, the authors derive zeroth-order gradient relations…
The paper examines how the principle of microcausality can be formulated for generalized functions used in axiomatic quantum field theory, especially in relation to dispersion relations for scattering amplitudes. It compares three mathematically regular formulations of microcausality for a class of …
The paper studies tests of prescribed level for multidimensional polynomial hypotheses concerning the means and covariance matrices of several multivariate normal populations. It reformulates the problem in terms of sufficient statistics and exponential family parameters, reducing the characterizati…
This paper investigates the relationship between photomechanical behavior and photoconductivity in cadmium sulfide crystals, with particular attention to cases of negative photoconductivity under infrared illumination. Microhardness measurements were made on CdS plates exposed to filtered infrared l…
The paper studies interpolation processes associated with node systems on the interval, focusing on Bernstein’s modified interpolation scheme and on an extended system of Chebyshev nodes that includes the endpoints. It addresses whether quasi-uniform distribution of nodes is sufficient for uniform c…
This note studies countably additive real set functions on Borel subsets of an n-dimensional cube that satisfy absolute continuity or translation continuity only in specified coordinate directions. It shows that, unlike the classical full-dimensional case, directional absolute continuity and directi…
The paper studies R. S. Phillips’s problem of extending an invariant dual pair of subspaces in a Hilbert space with an indefinite scalar product to a maximal invariant dual pair. For a commutative algebra generated by J-unitary operators, the author proves such an extension under power boundedness o…
The study investigates how triplet excitons in benzophenone crystals interact with excited impurity molecules under varying excitation intensities at 90 K, using phosphorescence spectra and quantum yield measurements for impurities including phenanthrene, naphthalene, alpha-bromonaphthalene, and an …
This paper examines the structure and luminosity of meteor trails using instantaneous-exposure photographs obtained in Dushanbe and Odessa, with attention to wake-type trails and terminal blending between meteor images. The authors compare observed intensity distributions for several bright meteors …
This paper studies embedding problems for ordered and quasi-ordered semigroups, focusing on potential right divisibility, potential left invertibility of subsets, and embeddings into semigroups with one-sided invertibility. It introduces explicit compatibility conditions on a binary relation or subs…
This paper studies existence and conjugacy criteria for subgroups of finite groups whose order and index are not necessarily relatively prime. It introduces almost Sylow and separable divisors relative to a normal series, defines subgroup types with respect to such a series, and proves a main theore…
This paper develops a theoretical model for the vertical structure of tidal currents in a homogeneous sea covered by ice, treating the ice as a flexible film that follows vertical wave motion while retarding horizontal flow. The analysis formulates the rotating tidal-current equations with no-slip c…
This note studies mean approximation on the boundary of a simply connected domain for analytic functions of class Ep, p greater than 1, under a smoothness condition on the boundary. It sharpens Al’per’s Jackson type inequality by deriving order-refined estimates relating best polynomial approximatio…
The paper determines the crystal structure of hydrothermally synthesized sodium samarium orthosilicate, NaSmSiO4, using single-crystal X-ray diffraction data. Patterson, ordinary Fourier, and difference Fourier syntheses establish a tetragonal body-centered cell with space group I4/m, parameters a =…
For a system of two nonlinear differential equations $$\frac{dx}{dt}=f(x)+\nu u$$, the question of the reachability of the origin is considered. Here $$x=(\xi,\eta),\quad\frac{dx}{dt}=\biggl(\frac{d\xi}{dt},\frac{d\eta}{dt}\biggr),\quad f(x)=(f_1(\xi,\eta),f_2(\xi,\eta))$$ are variable vectors of th…
This paper proposes a gas laser scheme in which the upper laser level is populated through charge exchange between negative and positive ions and remains in thermodynamic equilibrium with the gas, while the lower level is depleted by radiation. Using a Landau-Zener based expression for the charge-ex…
This paper examines bursts of Pc-1 geomagnetic micropulsations occurring during characteristic intervals of decreasing period, using simultaneous magnetic field records from the magnetically conjugate stations Kerguelen and Sogra. Sonograms and amplitude time records from selected events in 1964 and…
The equation $\ddot{x}=f(x)-R(x,\dot{x})$ with a discontinuous right-hand side, which can be interpreted as a generalized pendulum equation, is considered. This work is devoted to the issues of the existence and relative positioning of global limit cycles. Estimates of the distance between two globa…
This paper investigates structural changes in alpha quartz during heating through the alpha to beta transition, with attention to whether atomic rearrangement occurs abruptly or over an extended temperature interval. Using x-ray diffuse scattering and Laue photography, the authors track changes in r…
This note studies when a regular row-finite complex matrix transforms every sequence tending to infinity within a prescribed unbounded domain of the complex plane into a sequence tending to infinity within another such domain. It extends notions related to complete regularity from real divergent seq…
The paper studies periodic solutions of functional differential evolution equations with retarded arguments by analyzing the shift operator along trajectories in spaces of continuous vector functions. Using cone and wedge methods, it establishes semipositivity and complete continuity of the period s…
This paper formulates a class of convex stochastic programming problems in which the objective coefficients and constraint matrix elements are random variables with given second moments. By representing the decision variables in Hilbert spaces of square integrable random variables, the problem is re…
The paper studies Cauchy problems for second order nonlinear abstract hyperbolic equations in a Hilbert space with time dependent positive self-adjoint operators. Using semigroup methods, successive approximations, energy estimates, and a coefficient-freezing reduction for an operator depending on t…
The paper studies bases for the algebra of unary primitive recursive functions under addition, superposition, and iteration, extending earlier results based on second order arithmetic progressions. For any strictly increasing primitive recursive arithmetic progression of order k at least 2, it analy…
This paper studies uniqueness of weak solutions to the Cauchy problem for a first order conservation law with two independent variables, allowing nonconvex flux functions beyond the earlier convex setting. It introduces a broad class of bounded measurable functions possessing one sided traces on Lip…
This paper examines possible links between solar wind variations and the tropospheric temperature field, using spacecraft measurements from Mariner 2, IMP, Mariner 4, Pioneer 6, and Soviet missions compared with meteorological data, chiefly from regions along the Soviet Black Sea coast. The author a…
The paper investigates a singular Cauchy problem for the generalized wave equation $$ z_{xx}=z_{ss}+\frac{a}{s}z_s+b^2z,\quad z(x,0)=\tau(x),\quad \tau_s(x,0)=0.\tag{1}$$ Using the integral representation of its solution, the author constructs basis series expansions of two types for $z(x,\lambda s;…
The paper studies upper bounds for the defect of a metrizable space, defined as the least dimension of a remainder in its compact extensions, in relation to the set of points at which the space is not peripherally compact. It proves auxiliary dimension theoretic lemmas on finite closed covers of tot…
In connection with the study of one-dimensional mixed problems for second-order parabolic systems containing time derivatives in the boundary conditions, this paper provides an asymptotic representation of the solution to the spectral problem (1)–(2) for a system of ordinary differential equations o…
The paper derives inversion formulas for the fundamental integral representation of p-analytic functions in the right half-plane with characteristic p = x^k. Using the adjoint p-analytic function, its relation to generalized analytic functions, and an auxiliary x^{2-k}-analytic function, the argumen…
This paper examines possible effects of the 11-year solar activity cycle on the Northern Hemisphere sea-level pressure field. Using U.S. Weather Bureau monthly pressure maps for 1899 to 1939, the authors calculated annual mean pressures on a latitude and longitude grid and estimated amplitudes and p…
This note studies abstract structures equipped only with a lattice order and scalar multiplication by nonnegative real numbers, motivated by the positive cone of a K-space. It defines and analyzes \((l,\lambda)\)-systems, their components and projections, and introduces additional axioms governing d…
This paper proposes a nonholonomic continuum model for metal fatigue in which stress, strain, temperature, and an additional history dependent parameter describe the transition from elastic behavior to plastic deformation under cyclic loading. The analysis links the fatigue threshold to specimen hea…
This paper studies Cauchy and mixed boundary value problems for second order linear and quasilinear hyperbolic equations whose principal part may degenerate in the domain and on the boundary. It gives sufficient smoothness, integrability, and structural positivity conditions on the coefficients and …
This study examines the short-range atomic structure of amorphous germanium formed by bombarding polycrystalline germanium films with 50 keV argon ions, in order to assess possible mechanisms of ion-induced amorphization. Electron diffraction patterns were analyzed by Fourier methods to obtain a rad…
The paper studies rings of cohomology operations and Adams type spectral sequences for extraordinary cohomology theories, with emphasis on complex cobordism and stable k-theory. It gives conditions under which an Adams spectral sequence based on a spectrum converges to stable homotopy groups, then c…
The paper develops a mod 2 degree theory for certain continuous mappings from bounded subsets of Banach spaces into the unit sphere, extending ideas related to the Leray Schauder degree. It defines a class of admissible mappings via finite-dimensional subspaces and linking coefficients, proves invar…
The paper examines how elementary particles may acquire an effective spatial extent through interaction with a gravitational field, arguing that this scale is the Planck length formed from the gravitational constant, Planck’s constant, and the speed of light. Using fluctuation estimates and the Fold…
This paper investigates how external elastic uniaxial stresses affect the galvanomagnetic effect in thin permalloy films. Films prepared by thermal evaporation were subjected to controlled bending strains, and changes in resistance during magnetization reversal were recorded oscillographically and c…
The paper develops a general variational framework for constructing relativistic models of continuous media in a pseudo-Riemannian space, allowing the material Lagrangian to depend on tensor or spinor parameters, their derivatives up to arbitrary finite order, motion variables, and the metric Lamé t…
This paper estimates parameters of the Tunguska cosmic body using new mapped data on forest fall from the 1961 expedition and a shock wave analysis of the interaction between explosive and ballistic waves. Treating the main radial forest destruction as the effect of a spherical explosion wave, the a…
The paper proves a spatial global injectivity theorem for quasiconformal mappings: a locally homeomorphic quasiconformal mapping of three-dimensional Euclidean space into itself is in fact a homeomorphism, and its image is all of space. The argument develops modulus estimates for families of curves …
The paper reports an X-ray crystallographic determination of the ternary compound Mo3CoSi, found in the Mo, Co, Si alloy system over a limited homogeneity range. Single-crystal and powder diffraction data were used to establish a tetragonal cell with a = 12.649 Å and c = 4.889 Å, to analyze extincti…
The paper studies algebraic unitary and orthogonal invariants of systems of square matrices, with emphasis on minimal integral rational bases and minimal complete systems. It establishes general reductions relating unitary and orthogonal invariants to affine invariants, showing that traces of produc…
This paper studies boundary value problems for properly elliptic equations in which the Shapiro-Lopatinskii condition fails at every boundary point but a uniform form of noncoercivity is present. Using generalized homogeneous expansions near the boundary and singular integro-differential or pseudodi…
This paper examines modern vertical movements of the Earth’s surface in Tashkent using repeated precision leveling conducted before and after the 1966 earthquake. Comparing leveling data from 1939 to 1940, 1962 to 1965, and 1966, the authors compile maps and profiles of relative vertical displacemen…
The paper develops sharper inequalities for comparing distribution functions through their Fourier-Stieltjes transforms, improving on classical Berry and Esseen estimates in settings relevant to uniform central limit approximations. These inequalities are combined with a new bound for characteristic…
