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
The paper studies inductively semireflexive and inductively reflexive locally convex spaces, defined through the inductive topology on the dual generated by equicontinuous sets. It establishes criteria for these properties: inductive semireflexivity is equivalent to completeness in the strongest Sch…
The paper analyzes open resonators formed by equidistant conducting curves or surfaces and seeks parameter regimes in which only one transverse mode is supported. Using high-frequency asymptotics for the Helmholtz equation, the transverse-mode problem is reduced to one-dimensional Schrödinger-type e…
This paper studies Markov chains modeling homogeneous networks of formal neurons with spontaneous activity, where each neuron is activated either by local persistence from neighboring states or by random self-excitation. It develops upper bounds for the probabilities of finite blocks of active neuro…
The paper investigates the time required to establish equilibrium vacancy concentrations in metals under quasi-equilibrium conditions, a parameter important for high-temperature diffusion processes. A pulse heat-capacity method is used in aluminum, lead, and an aluminum-copper alloy, varying pulse d…
This paper studies the rank of an abelian variety over a number field by relating it to Galois cohomology groups associated with a fixed prime and a maximal ramified p-extension. Under assumptions on the fields of definition of p-power torsion, it constructs global and local exact sequences involvin…
The paper studies quasi-equivalence of bases in finite centers of Hilbert scales, focusing on unconditional bases in centers associated with completely continuous, not necessarily nuclear, scales. It develops a proof using Hilbert norm equivalence for unconditional bases, estimates based on Kolmogor…
This paper studies the congruence class modulo 4 of the ideal class number of real quadratic fields K(sqrt p), where p is a prime congruent to 1 modulo 4 and p is represented as a sum of two squares. Using Hasse’s formulas for the circular unit, Gauss sums, and products over quadratic residues and n…
The paper studies a general boundary value problem for a two-function first order system of composite type in a simply connected plane domain, with one hyperbolic characteristic family and one elliptic Beltrami-type equation. Under smoothness assumptions on the coefficients and nondegeneracy conditi…
This paper derives experimental consequences of assuming that a particle form factor is analytic in the complex momentum-transfer plane with the standard cut and satisfies the growth restrictions of local field theory. Using results from complex function theory, including a maximum principle, the Ph…
This note extends operator methods for the stability analysis of difference schemes from real to complex Hilbert spaces. For two-layer schemes with constant operators, it reduces stability in weighted energy spaces to stability of an associated explicit scheme and derives necessary and sufficient, o…
This note studies first-kind integrals of Temlyakov-Bavrin type associated with integral representations for holomorphic functions in bounded convex complete bicircular domains. For the special choice \(r_1(\tau)=\tau/a\) and \(r_2(\tau)=(1-\tau)/b\), it considers kernels defined on a product of par…
This paper examines diffraction effects that affect measurements of ultrasonic velocity and absorption when plane radiators are treated by one-dimensional wave methods. It develops a calculation method based on representing the radiator field as packets of normal waves, with the apparatus spectrum a…
This paper studies how Banach space topology determines order-theoretic properties in normed partially ordered structures, especially KB-lineals and KN-spaces. It compares three notions of countable type, one order-theoretic and two topological, proving their equivalence for norm-complete KN-spaces …
The paper studies topological homogeneity of extremally disconnected bicompact spaces, especially absolutes of compact spaces of weight continuum, using cardinal invariants such as pi-weight, cellularity, and weakly inaccessible cardinals. It proves auxiliary results on the attainment of cellularity…
This note studies factorial s-mappings from spaces with a point-countable base onto Hausdorff spaces of point-countable type. It proves that such an image satisfies the first axiom of countability, by reducing to the bicompact case, establishing a sequence selection lemma, showing that the mapping i…
This paper derives computational formulas for crystallographic structure factors and their coordinate derivatives when anisotropic thermal vibrations are included, a case in which standard tabulated formulas for space groups are no longer directly applicable. Using a symmetry-based treatment, the au…
This paper studies a fixed-terminal-time differential game of approach between pursuing and pursued controlled motions with bounded convex control sets, where the payoff is the terminal distance between selected components of the two phase vectors. Under a specified “rough case” involving convex att…
This paper studies the Cauchy problem for normally hyperbolic equations whose lower order coefficients may be unbounded in the usual Lebesgue scale. It introduces mixed norm Banach spaces and proves embedding results for Sobolev spaces into these spaces, including compactness under a strict paramete…
This paper examines aerodynamic heating of blunt bodies in hypersonic air flow when radiation transfer is coupled to the gas dynamics rather than treated as a separate postprocessing correction. The authors formulate and solve equations near the stagnation line including viscosity, thermal conductiv…
The paper studies homeomorphism theorems for elliptic boundary value operators in Sobolev type spaces, including spaces with boundary trace components and quotient or graph norm constructions. Starting from a known homeomorphism theorem for a properly elliptic operator with normal covering boundary …
This paper examines radiative processes relevant to colliding electron positron beam experiments, focusing on photon emission in electron positron scattering. Using methods previously applied to electron electron collisions, it derives cross sections for emission of photons of arbitrary energy into …
This note studies the approximation of nonperiodic continuous functions on a finite interval by partial sums of their trigonometric Fourier series, focusing on the effect of a jump in the periodic continuation at an endpoint. Using estimates based on moduli of continuity and extremal constructions f…
The paper reformulates the equations of motion for a self-gravitating, centrally symmetric medium in general relativity. Starting from the stress-energy conservation laws and Einstein field equations, it introduces the radius and a mass-like Lagrangian coordinate as independent variables, reducing t…
This paper studies zero-sum games on the unit square whose continuous payoff kernels have a prescribed simple form on connected components outside a closed set. It introduces families of multivalued mappings associated with this closed set and proves a sufficient condition under which both players p…
This note studies numerical characteristics of the unit sphere of a Banach space, especially the functions beta and delta introduced in earlier work, and relates them to isomorphic norms, subspaces, bases, and reflexivity. It proves existence results for almost isometric copies of l1 and c0 under su…
Measurements of the spectra of 55 discrete cosmic radio sources were made in the decameter range from 25 to 12.6 MHz, using a broadband radio telescope with electrical beam steering, with reliable tabulated flux densities for 38 sources. The results show that many low-frequency spectra deviate subst…
This paper analyzes the dynamic stability and vibration of three-layer panels or beams subjected to supersonic gas flow. Starting from the small-vibration equation for a sandwich plate and using linear piston theory for the aerodynamic load, the study reduces cylindrical bending to a sixth-order ord…
This paper examines similarity criteria for optical fields in turbid media, focusing first on the established use of specific scattering as a criterion when scattering indicatrices are identical. Laboratory experiments measured relative brightness at varying optical depths and directions in media wi…
This paper analyzes the supersonic flutter of finite three-layer plates using previously derived elastic equilibrium equations that account for bending stiffness of the load-bearing layers, shear stiffness of the core, inertia, in-plane loads, and aerodynamic loading. Assuming piston-theory aerodyna…
The paper studies local solvability of quasilinear evolution equations in Banach spaces of the form v'(t)=A(t)v(t)+f(t,v(t)), where A(t) generates contraction semigroups with a common domain and the nonlinear term may be unbounded on the base space. It extends earlier existence and uniqueness result…
This paper extends earlier results on linear polynomial operations from periodic real functions to analytic functions in a finite complex domain with rectifiable boundary and simply connected complement. Using Faber polynomials and conformal mapping, it introduces shift and even shift operations and…
This paper extends astronomical calculations of climatic insolation variations caused by secular changes in the Earth’s orbital eccentricity, longitude of perihelion, and obliquity. Building on Milanković’s formulation and later recalculations, the authors revise trigonometric precession formulas, d…
The paper studies dynamic instability in linear Hamiltonian systems with small almost periodic, specifically trigonometric polynomial, perturbations. It defines resonant frequency vectors through the leading Lyapunov exponent and uses averaging together with quadratic Lyapunov function estimates to …
The paper studies initial problems for general constant coefficient systems of partial differential equations that are not solved with respect to the highest time derivatives, motivated by cases where the usual Cauchy problem is ill posed. Using Fourier transformation in the spatial variables and es…
The paper studies the Dirichlet problem for nonlinear elliptic equations of arbitrary order under coercivity, growth, and monotonicity assumptions of Leray and Lions type. It constructs finite difference approximations on grid subspaces, proves solvability of the discrete problems using coercivity a…
This note studies extremal quasiconformal homeomorphisms between closed oriented Riemann surfaces of genus greater than one under a prescribed measurable restriction on the Beltrami characteristic, generalizing classical Teichmüller extremal mappings. Using Banach spaces of weighted Beltrami and qua…
This paper examines the theoretical justification of transport laws and kinetic coefficients for isotropic dense multicomponent media within nonequilibrium statistical mechanics. Using Zubarev’s nonequilibrium ensemble method, it expands the distribution function about a local equilibrium form and d…
This study examines the carbon K alpha x-ray emission band in homogeneous titanium carbides across 12 to 24 wt.% carbon, with comparison to graphite and diamond, in order to clarify the electronic structure and bonding of carbon in TiC. Spectra were recorded under identical conditions using an ultra…
This paper analyzes reference-beam-free holography for three-dimensional holograms, extending earlier results for two-dimensional recording media where reconstruction yields the Patterson function of the object. Using a Fourier representation of the recorded interference intensity and applying the W…
This paper studies homeomorphic mappings of a ball in Euclidean space belonging to the Sobolev-type class \(BL^{n/2}\), with emphasis on obstructions to mapping onto domains in dimensions at least three. Using an inequality for such mappings and the theory of prime ends, it proves an analogue of Lin…
This paper addresses finite-time control of linear systems with lumped parameters, seeking admissible controls that transfer a system from a prescribed initial state to a specified terminal state in a fixed time. Using Fourier transforms and the Wiener-Paley theorem, the problem is reduced to constr…
This paper examines the growth and disappearance of two-dimensional zirconium crystals adsorbed on crystallographically distinct regions of tungsten and niobium single-crystal surfaces. Using field-emission microscopy and Arrhenius analysis of temperature-dependent growth and two-dimensional sublima…
This study examines the surface ionization of the radical C4H10N formed when diethylamine interacts with heated tungsten and oxidized tungsten in weak electric fields. Using retarding-potential measurements in a mass spectrometer, the authors compare the velocity distribution of C4H10N positive ions…
This paper investigates the etching of Yakut diamond octahedra in molten hydroxides, nitrates, and peroxide-containing mixtures of potassium and sodium compounds in air at 560 to 700°C. Etching rates were determined from weight loss and surface area estimates, while etched surface morphology was exa…
The paper presents a method for deciphering a Patterson function by exploiting multiple peaks in the vector system, using two selected peaks to generate quadrilaterals and then successively enlarged polygons that isolate shifted copies of the basic atomic system. The authors argue that comparison an…
The paper studies absolute and uniform convergence of Fourier series with respect to eigenfunctions of a self-adjoint elliptic operator of arbitrary order 2m in an N-dimensional domain, under general boundary conditions. Extending earlier results for second order operators, it gives sufficient Sobol…
This paper studies internal inverse problems in potential theory, concerned with determining the domain and density of a body from equality of its potential on an interior intersection. For generalized potentials associated with uniformly elliptic second order operators, it gives a lemma reducing eq…
This note studies large deviation probabilities for sums of independent identically distributed centered random variables with unit variance when Cramér’s condition is violated, assuming a density with tails asymptotic to exp of minus a subexponential power. It gives asymptotic formulas for the tail…
This paper studies approximate finiteness for von Neumann algebras with finite trace, extending crossed product results from commutative algebras to approximately finite factors and algebras. It proves that crossed products of an approximately finite type II1 factor by finite cyclic, and more genera…
This paper studies third order dynamical systems in a bounded domain with a smooth contact free boundary, under the restriction that closed trajectories are absent. It formulates necessary and sufficient conditions for structural stability under small perturbations of the right hand sides and their …
