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 a quantum mechanical treatment of the fine structure of the vibrational-rotational spectrum of water vapor, addressing the theoretical determination of line centers, intensities, and half-widths where experimental data are incomplete. The authors formulate an approximate Hamilton…
The paper studies sums of nonnegative multiplicative functions evaluated at shifted primes, motivated by problems where the function may take values less than one on primes. It proves an upper estimate for sums of the form \(\sum_{p\le N} f(N-p)\) under mild growth conditions on prime powers, using …
The paper studies topological spaces through the behavior of chi-points under continuous mappings, introducing two invariant classes: spaces whose continuous images are discrete or contain a chi-point, and spaces whose continuous images have every nonisolated point as a chi-point. It proves structur…
The paper develops conditions for applying a continuous analogue of Newton’s method to nonlinear functional equations in Banach spaces and to a nonlinear second order boundary value problem. It proves local convergence to a known unique solution under assumptions on differentiability, bounded invert…
This note develops a Hölder space regularity theory for special heat potentials associated with noncylindrical lateral surfaces and oblique derivative boundary problems for second order parabolic equations. It studies the direct boundary values of the oblique derivative potential Q and the simple la…
The paper constructs a sequence of strongly independent superintuitionistic propositional calculi using finite Gödelian Brouwer algebras. It defines a class of finite algebras, called Lambda algebras, and proves that any two such algebras are either incomparable in the relevant derivability ordering…
This paper examines how gas-forming additives placed at the source of a spark-discharge electric explosion affect wave motion in dry, weakly cohesive sand, and compares the results with chemical explosive tests. Soil mass velocity was measured by an induction method at varying distances, with reduce…
This paper analyzes Fresnel diffraction by opaque objects with rectilinear edges, including a narrow screen, slit, and half-plane, when the incident wave surface is nonspherical, specifically a paraboloid or parabolic cylinder. Using the Huygens-Fresnel principle, it derives expressions for the ligh…
The paper studies normalized extremal trigonometric polynomials of mixed cosine and sine type and relates their construction to extremal algebraic polynomials. It establishes a one-to-one correspondence between such trigonometric polynomials and pairs of analytic functions on the interval of the for…
This paper treats a nonlinear nonstationary problem for planetary scale atmospheric motions using a baroclinic two level model on the sphere. The stream functions at 300 and 700 mb are represented by a small set of spherical harmonic modes, and a Galerkin procedure reduces the governing equations to…
This note studies approximate solutions of infinite systems of linear equations arising from variational methods for expanding solutions of functional equations in a prescribed system of functions. It formulates an epsilon-approximation in the associated Hilbert space and analyzes a procedure based …
The paper develops a spectral analysis of a class of unbounded non-self-adjoint operators in Hilbert spaces equipped with an indefinite metric, using characteristic matrix functions. It defines quasi-Hermitian operators of finite rank, introduces their characteristic matrix function through defect s…
This paper analyzes ionizing shock waves in a gas placed in an arbitrarily oriented magnetic field, treating the wave structure through gasdynamic and magnetohydrodynamic equations with viscosity, thermal conductivity, and electrical conductivity, while neglecting the Hall effect. It shows that the …
This paper examines the infrared librational band of liquid water and dilute aqueous acetonitrile solutions, focusing on the complex structure of the broad absorption near 700 cm⁻¹. The authors decompose the spectral contour into three approximately Gaussian components and compare their frequencies …
The paper establishes sufficient criteria for absolute convergence of Fourier series of numerical almost-periodic functions in Besicovitch and Bohr classes. Using Parseval-type identities, Riesz-Fischer arguments, and best approximation quantities defined by spectral truncation, it relates convergen…
This paper examines the effective electrical conductivity of two component heterogeneous media when the conductivities of the constituents differ by more than two orders of magnitude, a range in which Odelevskii’s formula is reported to disagree with experiment. The authors derive approximate expres…
This paper reports radio astronomical measurements of small scale inhomogeneities in the interplanetary plasma using simultaneous observations of scintillations from compact radio sources at three stations separated by about 220 km. Applying a similarity method to daily observations of 3C-48 in 1967…
This note studies when a convex cone or convex set admits a supporting linear functional whose components lie between prescribed lower and upper bounds. It proves a general theorem, using positive bases and schemes of sections of a convex set, that characterizes the existence of a vector satisfying …
This paper examines how orbital states affect the theory of indirect exchange in magnetically ordered crystals modeled by a linear three-center, four-electron chain of the type cation, anion, cation. Using antisymmetrized wave functions classified by permutation and cubic-group representations, and …
This note studies definability and reducibility questions in higher order logic, introducing generally definable ordinals and formulas whose variable types are governed by such ordinals. It proves that every generally definable formula can be effectively reduced to a second-order formula preserving …
This paper derives retarded Green’s functions for a quantum Fermi system of charged particles interacting through the Coulomb potential in a compensating background, with collisions included in a kinetic equation framework. Starting from the equation for the one-particle quantum distribution functio…
This paper examines whether the sizes and masses of icy cometary nuclei can be inferred from the production of observed radicals such as CN and C2 through photodissociation of short lived parent molecules. Using photon fluxes, assumed dissociation energies, emission coefficients, and simple conserva…
This study reports quantitative Raman spectral parameters for liquid cyclic polydimethylsiloxanes with ring sizes n = 4 to 7, including frequencies, integral and peak intensities, depolarization ratios, half-widths, relative scattering coefficients, and polarizability derivative tensor components. M…
The paper studies realizations of Maslov’s canonical operator for hyperbolic equations in the setting where the auxiliary space is \(L^2(E^1)\) and the operator is \(-i\,d/d\tau\). Using a generalized stationary phase method, it derives convergent series representations for oscillatory integrals nea…
The paper investigates flash electroluminescence in organic liquid dielectrics exposed to strong steady electric fields, focusing on randomly occurring light pulses observed in a wide range of liquids. Using sealed electrode cuvettes, photomultiplier detection, gas saturation, and comparisons with s…
This paper analyzes a semiconductor dielectric heterocontact in which the semiconductor has a lower electron affinity than the dielectric, producing a potential well for electrons in the near-contact dielectric layer. Using kinetic and electrostatic equations with boundary conditions at the contact,…
The paper studies structural properties of hierarchies of sets in topological spaces of weight τ, including the spaces Dτ, Jτ, Dων, and Jων, under the assumption that τ is strongly inaccessible. It establishes the existence of universal sets and universal families for several basic classes, derives …
This paper examines a mechanism of radiationless energy transfer between donor and acceptor molecules mediated by virtual excitations of molecules in the surrounding medium, rather than by direct dipole-dipole interaction alone. The authors develop a perturbative treatment for a one-dimensional orde…
This note examines how imperfect or insufficiently rigid edge fixing can lower the critical external pressure for loss of stability in shallow strictly convex shells. Using a variational formulation for shell buckling under distributed pressure and edge forces, it derives an inequality relating crit…
The paper examines whether flute instabilities in a magnetically confined, low beta plasma can be stabilized by an external feedback system that controls the potential of a surface placed between the plasma and the chamber wall. Using a cylindrical plasma model with an effective radial gravity term …
This paper studies abstract Cauchy problems for operator differential equations in a Hilbert space, especially cases of order greater than two that are generally ill posed in the Hadamard, Petrovskii sense. It proves well posedness in Tikhonov’s sense under strict parabolic conditions, constructs a …
The paper presents an iterative averaging method for solving stationary linear boundary value problems by embedding them in an auxiliary nonstationary problem. A two-step process is analyzed in both continuous and finite-difference forms, using a special double-averaging operator applied to the solu…
The paper studies similar tests for a general linear hypothesis in normal linear models when observation variances, or weights, are unknown and may differ. Extending results of Linnik on Scheffé-type tests and Neyman structures beyond the Behrens-Fisher setting, it considers tests defined through in…
This paper investigates the ellipticity of the trajectory of the Earth rotation pole’s free, Chandler-period motion, a phenomenon linked to the Earth’s figure and the orientation of its principal axes. Using International Latitude Service pole-coordinate data for 1900 to 1958, the study applies slid…
The paper strengthens earlier results on topological equivalents of a set-theoretic branching hypothesis for a strongly inaccessible cardinal. It introduces notions such as open cardinal subbases, directed spectra, and generalized Vietoris exponential spaces, then formulates several compactness-type…
The paper constructs an analogue of the topology of a space of measurable functions in a foundation of an Archimedean K-lineal with unit, complete in the sense of bounded elements. Using a representation by continuous functions, possibly infinite valued, on a bicompact space, it defines neighborhood…
The paper proves a trace formula for the self-adjoint operator associated with the Jacobi equation along a fixed geodesic on a complete Riemannian manifold. By reducing the covariant Jacobi operator to a vector-valued Sturm-Liouville problem via parallel transport, the argument analyzes resolvent ke…
This paper develops an analytical scheme for determining stresses and displacements in a multilayer elastic half-space subjected to normal and tangential strip loads on its surface under plane deformation. Using a biharmonic stress function represented by Fourier integrals, the author derives expres…
This note extends earlier one-dimensional criteria for complete regularity to multidimensional stationary processes in both discrete and continuous time. For a vector stationary process, it derives necessary factorization forms for the spectral matrix density, with a diagonal polynomial factor and a…
This paper studies regularity of boundary points for the Dirichlet problem for second order linear elliptic equations with discontinuous coefficients under uniform ellipticity and boundedness assumptions. It introduces an s-capacity adapted to such operators and proves sufficient Wiener-type capacit…
This study examines etching features on faces of cubic boron nitride crystals synthesized in the Mg, B, N system under high temperature and ultrahigh pressure. Selected well faceted crystals were etched in molten sodium nitrate at 520 to 530 degrees C and examined microscopically before and after tr…
This paper examines the nature of deep earthquakes by recalculating global seismic energy release as specific seismic power, normalized by the active volumes of seismoactive zones and observation time. Using Gutenberg and Richter earthquake data and magnitude to energy conversions, it argues that th…
This paper examines how diffuse scattering characteristics of aggregates of absorbing particles depend on absorption coefficient, particle size, layer thickness, wavelength, dielectric constant, and particle arrangement. Starting from the macroscopic Maxwell equations, it derives a similarity relati…
This paper develops a stationary theory of laser generation in an active medium containing two kinds of four-level centers, treating spectral inhomogeneity as a source of multimode behavior. Starting from kinetic equations for mode photon numbers and excited-state populations, the authors analyze si…
This paper studies boundary value problems on the half-line for second-order differential equations arising after transformations of third-order equations in boundary-layer theory and gas-jet mixing. It proves an existence theorem for solutions of y'' = F(x,y,y') constrained between prescribed upper…
The paper derives identities connecting complete finite differences of functions of several variables with mixed finite differences of the same total order. These identities are used to obtain relations between mixed partial derivatives and directional derivatives, including representations of mixed…
This note studies sequences of finite linear aggregates formed from dilations of an entire function of several complex variables, under growth conditions on the generating function and on the dilation parameters. It constructs integral linear operators with a characteristic function and uses them to…
This note studies postcritical elastic states of strictly convex shells subjected to a prescribed load in the presence of a through-thickness heat flux normal to the middle surface, with isothermal equidistant layers and arbitrary temperature distribution. Using Pogorelov’s variational formulation f…
The paper proposes an optical transmission method for studying thin films deposited on opaque semiconductor substrates, using substrate photoresponses such as photoconductivity to register light that has passed through the film. The authors develop the measurement scheme and formulas for deriving fi…
