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 presents seismic evidence on the crustal structure and sedimentary cover of the central and southern Sea of Japan based on a 1963 profile exceeding 500 km. Deep seismic sounding and reflected wave measurements were used to identify refracted and reflected phases, construct travel time cur…
This note studies asymptotic formulas for fixed moments of the number of classes of purely radical quadratic forms of negative determinant. Using Gauss’s formula, the problem is reduced to estimating moments of Dirichlet L-series at 1, and then to bounds in the critical strip via the A. I. Vinogrado…
The paper develops a dual formulation of measure theory on linear spaces by associating a linear space with measure to the ring of measurable functions together with the closed generating subspace of measurable linear functionals. It shows that every such space is linearly isomorphic, modulo null se…
This paper studies mutually adjoint boundary value problems for a first order system of three partial differential equations of composite type, reducible to a canonical form combining a real characteristic component with a Beltrami type equation. For a simply connected domain with prescribed boundar…
This paper studies boundary value problems for second order abstract elliptic equations in a Banach space, with time dependent closed operators and general linear boundary conditions involving endpoint values and derivatives. Using analytic semigroups generated by square roots of the operators, the …
This paper examines the mechanism by which thallium enters galena, focusing on the proposed coupled substitution of lead by monovalent thallium and trivalent bismuth or related elements. Synthetic compositions in the PbS, BiTlS2 system were prepared from pure elements and studied by thermal analysis…
This paper applies Maslov’s inverse method for establishing derivability to decidable fragments of the classical predicate calculus. It introduces technical notions of decomposable and favorable sets, uses saturation and restricted inverse-method lists, and proves decidability for a class K defined …
The paper develops a rigorous solution for diffraction of a linearly polarized plane electromagnetic wave by several perfectly conducting spheres arranged in a linear system, with an arbitrary angle between the incident wave vector and the common axis of the spheres. Using Debye potentials, the elec…
The paper studies the decomposition of tensor products of representations in the positive discrete unitary series of the Lorentz group L3, with parameters allowed to be arbitrary positive real numbers. Using a basis method, it first derives the irreducible decomposition of the product of two such re…
This paper studies transformation operators and scattering data for the radial Schrödinger equation with a repulsive potential whose singularity at the origin is stronger than inverse square. Under differentiability, monotonicity, and integrability assumptions on the leading singular part and a pert…
This paper studies curvature restrictions for Kähler metrics that arise as Bergman metrics of bounded domains in complex Euclidean space. Building on known estimates for sectional curvature in analytic directions, it derives an upper bound for the Ricci curvature, showing that for a bounded domain i…
The paper studies functional completeness for partial functions in two-valued and many-valued logic under superposition, where undefinedness propagates through composed functions. For partial Boolean functions, it defines eight classes characterized by totality, preservation properties, extensibilit…
This paper applies a fixed-source meson-nucleon model with three nucleon states to meson scattering problems, extending earlier exact solutions for the discrete spectrum to continuous-spectrum scattering states. The authors solve the Schrödinger equation for a meson incident on a stable B particle, …
The paper studies systems of ordinary differential equations with a small parameter whose unperturbed part has an isolated rotational and oscillatory solution, while the perturbing terms are almost periodic in time and in angular variables. Under smoothness, Lipschitz, and nonresonance-type isolatio…
This note studies differentiable functions on Euclidean space whose derivatives have finite mixed norm and whose higher derivatives satisfy a multiple Hölder condition in the same norm. It gives a necessary and sufficient characterization of the class by representation as finite sums of series of en…
This note studies convergence and divergence of Fourier series of uniformly almost periodic functions whose Fourier exponents have a single limit point, considering separately the cases where the exponents tend to infinity or to zero. It recalls known convergence criteria of Bochner and Levitan, the…
This paper examines how moving atmospheric pressure disturbances, especially cyclones, can generate substantial depth-coherent oscillations in ocean currents that are not explained by steady wind-driven current theory. Using simplified linearized hydrodynamic models for a homogeneous, constant-depth…
This paper develops an energy balance treatment for radiation noise in solid state optical quantum generators, relating noise radiation density to resonator losses, gain, luminescence, and scattering of the generated flux. The authors derive spectral and integral expressions for noise produced by lu…
The paper studies the local analytic problem of determining all Riemannian spaces that admit a nontrivial geodesic mapping onto a given space, without restrictions on metric signature. It reformulates the existence of such mappings as a first order differential system for an auxiliary symmetric tens…
This paper examines how substrate temperature during oblique deposition affects the spectral distribution and sign inversion of the high-voltage photoelectric effect in thin CdTe layers. Measurements of short-circuit current spectra for CdTe films deposited at different substrate temperatures show t…
This note studies analogues in characteristic p of Cartan’s simple transitive pseudogroup Lie algebras, realized as derivation algebras of truncated polynomial rings. It describes the resulting Cartan type Lie p-algebras, general, special, Hamiltonian, and contact, and formulates the conjecture that…
The paper derives explicit coefficient formulas for asymptotic expansions that refine classical limit approximations among common probability distributions. It treats convergence of binomial and multinomial laws to Poisson and normal laws, Poisson probabilities to the normal density, binomial distri…
The paper studies stable solution of functional equations Au = f in settings where the inverse problem may be ill posed, relating stability to regularizability. In a Hilbert space framework with a positive self-adjoint operator defining a stronger norm, it analyzes a quadratic regularization functio…
This paper studies sector-restricted versions of the Hardy-Littlewood problem for representations of a large integer as a prime plus two squares, and of its indefinite analogue for primes of the form a fixed integer plus two squares. Combining Linnik’s dispersion method with unimodular transformatio…
This paper studies linear differential systems whose coefficient matrices are uniformly almost periodic and belong to the class of R-systems, aiming to extend Floquet-type structural results beyond the periodic and quasiperiodic cases. It develops auxiliary lemmas on limiting increments of functions…
This paper reports current measurements from the 38th cruise of the Vityaz aimed at clarifying the structure of equatorial currents in the western Pacific Ocean west of 150° E, especially the Equatorial Undercurrent. Using anchored buoy stations arranged along and near the equator, currents were rec…
This paper formulates thermocapillary hysteresis as a form of capillary hysteresis arising when surface tension varies with height because of a temperature distribution along a capillary. Using the capillary rise balance and a potential energy criterion, it identifies stable and unstable equilibrium…
This study examines infrared absorption spectra of diamonds with differing color, luminescence, ultraviolet transparency, irradiation history, and inferred impurity content, with special attention to the unresolved origin of absorption near 8 micrometers. Comparing multiple specimens before and afte…
The paper studies preservation of metrizability under finite-to-one mappings in general topology, focusing on spaces that map openly and closedly onto metric spaces. It proves that the inverse image of a metric space under an open-closed finite-to-one continuous mapping is metrizable, by constructin…
The paper studies a free-boundary problem for harmonic fluid motion in an annular domain, with boundary conditions in which the velocity on the unknown free surface depends on the surface position and its first two derivatives, as occurs for capillary-gravity waves with surface tension. The problem …
The paper studies upper bounds for the number of integer points in multidimensional boxes at which several parameter-dependent integral polynomials simultaneously take prime absolute values. Under irreducibility, non-association, coefficient growth, and local solubility assumptions, it combines alge…
This paper studies topological spaces that admit perfect irreducible mappings onto metrizable spaces, equivalently in relation to coabsoluteness with metric spaces. It proves a characterization: such a single-valued mapping exists precisely when the space is a paracompact p-space containing a dense …
This note addresses Molodenskii’s question of whether anomalies can be chosen on an auxiliary sphere so that, together with the normal field, they reproduce the external anomalous gravitational field of the real Earth without solving the integral equation for an auxiliary layer density. The paper gi…
This paper studies rational automorphisms and subgroup structure in algebraic groups, focusing on invariant Cartan subgroups, unipotent Borel subgroups, and fixed point phenomena. It proves a global analogue of the Borel, Serre, and Mostow invariance theorem: finite supersolvable groups of rational …
The paper develops a mathematical model for intermittency in turbulent flow, focusing on the squared transverse velocity gradient as a measurable indicator of localized intense fluctuations. It represents cascade intermittency by a branching random point process with self-similar fragmentation, deri…
This paper studies perturbations of eigenvalues and eigenelements of closed linear unbounded operators in a complex Banach space near a finite-dimensional eigenspace. Using projectors, solvability conditions for the associated nonhomogeneous equation, and a reduction to a finite homogeneous linear s…
The paper studies the large time behavior of solutions to a parabolic mixed boundary value problem arising from a model of chemical processes in a flat catalyst grain, focusing on a reduced scalar equation with nonlinear heat release. By analyzing stationary solutions through the associated nonlinea…
This paper proposes a randomized iterative heuristic for large 0,1 integer linear programming problems arising in optimal control and economic planning, where exact methods may be computationally impractical. The method replaces maximization by successive feasibility tests with increasing objective …
This bibliographic notice compiled for the February 1966 issue of Differential Equations surveys recent journal articles from 1965 related to differential equations, integral equations, stability theory, boundary value problems, numerical methods, and mathematical physics. The entries list authors, …
