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 diffusion type equations with first and second functional derivatives on a Hilbert space scale, using a negative norm completion to accommodate generalized random processes. It defines Gaussian measures on this space and derives integral representations and uniqueness results for C…
The paper studies the problem of constructing a partition of a finite ordered integer lattice determined by successive maxima of a function, where after each maximum is found all lattice points lying in coordinate planes through it are excluded. It introduces the notion of a k-maximum and builds com…
The paper proves an existence and uniqueness theorem for generalized polynomials formed from a Chebyshev system of continuous functions on an interval, with prescribed interpolation values that are to occur as an alternating sequence of local extrema at suitably chosen nodes. The argument strengthen…
This paper studies a quadratic variational problem in Hilbert space associated with a bounded linear operator and proves existence and uniqueness of the minimizer, characterized by a linear operator equation. The general result is specialized to pairs consisting of a distributed term and an initial …
This preliminary report examines whether charged-particle measurements from Luna-10 indicate that the Moon crossed the tail of Earth’s magnetosphere. Using two particle traps that separately recorded positive ions above about 50 eV and electrons above 70 eV during communication sessions from late Ma…
This note studies vector-valued countably additive mappings from a ring of sets into a complete separable real locally convex space, comparing several natural classes defined by bounded variation, continuity, boundedness, extendability to the closure of the ring, and countable additivity. Using vari…
This paper develops an exact quasilinear treatment for a simplified two-beam plasma instability model in which electrons are injected symmetrically with velocities ±v0 and removed with a characteristic lifetime. Because monoenergetic beams do not permit the usual separation of a small resonant-parti…
This paper extends a method based on generalized analytic functions to spatial axisymmetric elasticity problems for multiply connected bodies of revolution. It represents displacements and stresses through generalized analytic potentials supplemented by logarithm-like functions that account for mult…
The paper studies a property of solutions to the elliptic Monge-Ampère equation \(u_{xx}u_{yy}-u_{xy}^{2}=1\) in a finite simply connected convex domain with prescribed boundary values. For the convex solution with positive second derivatives, it introduces a change of variables based on the first d…
The paper studies the Cauchy problem for a class of linear differential operator equations whose left hand side is a product of powers of factors of the form T minus lambda X, where T is an ordinary differential operator in time and X is an operator in the spatial variables. Under stated smoothness …
This paper treats electron detachment into the continuous spectrum during collisions of a negative ion with an atom, removing restrictions of earlier classical and point-interaction approximations. A quantum model is formulated for nuclear motion involving one sloping term coupled to a continuum, so…
This paper develops harmonic analysis on the one-sheeted hyperboloid viewed as a homogeneous space of the connected group preserving a quadratic form of signature \((1,n-1)\), with noncompact stabilizer. Using spherical functions associated with invariant generalized functionals, it describes the co…
This paper reformulates the principal computational expressions of crystal structure analysis in terms of common parameters of crystallographic symmetry groups. It decomposes symmetry operations into rhombic and nonequivalent transformations, then derives unified trigonometric formulas for electron …
This note introduces systems with quotients as a lattice-theoretic framework extending the Lesieur and Croisot theory of sigma algebras, allowing a unified additive theory for ideals in nonassociative rings and groupoids, submodules over nonassociative rings, and normal subgroups under commutator mu…
This paper reports an optical method for observing the ferroelectric phase transition in SbSJ single crystals, based on the long-wavelength shift of the intrinsic absorption edge and the associated change in band gap near the Curie temperature. Thin crystal plates grown from the gas phase were exami…
This paper studies the one dimensional motion of a quasiclassical particle in a potential whose periodic structure is slowly distorted by spatially varying parameters. It develops a transfer matrix and WKB based method for incorporating nonquasiclassical corrections near band edges, where accumulate…
This paper examines the feasibility of replenishing and exploiting underground thermal-water resources in the Terek-Sunzha oil-and-gas-bearing region, particularly depleted Middle Miocene reservoirs near Grozny. Using well temperature data, measurements of rock thermophysical properties, heat-flow e…
This paper studies the locally convex space of holomorphic functions on an open subset of the complex plane with arbitrary isolated singularities, constructed as an inductive union over closed discrete singular sets. It establishes structural and topological properties, including decomposition for f…
This paper examines the stability of the coaxial, central position of a rotating journal in a hydrodynamic bearing filled with an incompressible viscous lubricant. The authors formulate the coupled motion of the journal and fluid using the Navier-Stokes equations and the journal force balance, then …
The note develops aspects of duality for constructive locally convex spaces, using previously introduced constructive notions of boundedness, continuity, and locally convex structure. It constructs a normal fundamental system of bounded sets for any such space, defines continuous and quasicontinuous…
This study investigates the predicted fine structure in the high energy part of the spectrum of ions scattered from single crystal surfaces. Argon ions of 30 keV were directed at the (100) and (114) faces of copper, with measurements at a scattering angle of 50 degrees and varying grazing angles, an…
The paper studies the asymptotic distribution of the maximum of a homogeneous process with independent increments, positive jumps, and negative drift, under analytic conditions on its spectral function. Using properties of the Laplace exponent, roots of the equation defining its analytic branches, a…
This paper analyzes a linear model of economic exchange originally formulated by Schwartz, in which production and inventory dynamics are represented by recurrence relations on an admissible region of the plane. It studies the iterates of the associated linear transformation by classifying its chara…
This paper examines the analytic nature of the singularity that arises during spherically symmetric gravitational collapse of a star in comoving coordinates. Starting from the relativistic field equations for a collapsing fluid, it analyzes the neighborhood of the collapse line where the radius tend…
This paper studies extremal problems for real algebraic polynomials of degree n bounded by one on the interval [0,1], asking which polynomials maximize the real or imaginary parts of ordinary and angular derivatives at a prescribed point of the complex plane. The argument formulates these quantities…
The paper develops a classification of functions of several variables in weighted Lebesgue spaces by the rate of their best polynomial approximation on a cube. It defines strongly analytic, strongly entire, strongly quasianalytic, and strongly quasientire classes through geometric decay conditions o…
This paper proposes a method for local image analysis using anisotropic spatial filters to determine the orientation structure of small image regions for automatic reading and recognition. Treating local brightness distributions as mass distributions, it assigns directions from inertia ellipses, imp…
The paper constructs interacting theories for a neutral massive symmetric tensor field constrained to exclude the spin 1 component and one scalar component through a generalized Hilbert-Lorentz supplementary condition. Using variational identities for tensor and scalar fields, the authors derive adm…
The paper addresses whether a meromorphic function of finite order must have a deficient value of maximal deficiency as an asymptotic value, a property known in certain entire-function cases. It gives a negative answer by constructing, for every order greater than one including infinite order, merom…
This paper reports systematic radio observations of intensity fluctuations from the quasi-stellar source 3C-48 caused by inhomogeneities in the interplanetary plasma. Using the DKR-1000 radio telescope at wavelengths of 3.5 m and, less successfully, about 7.5 m, the authors measured scintillation am…
This note refines an asymptotic expansion in the central limit theorem for sums of independent identically distributed random variables with finite moment of integer order k at least 3 and a nonlattice type characteristic function condition. It proves a uniform weighted remainder estimate for the di…
This paper studies an initial boundary value problem for a nonlinear system of partial differential equations arising in meteorology, involving horizontal velocity components and a pressure dependent potential function. Under analyticity assumptions in the horizontal variables and uniform majorant c…
This note studies rational points over a number field on higher genus algebraic curves that admit several mappings to a common elliptic curve. It gives two approaches: one using Tate heights to prove eventual linear independence of the image points under independent mappings, and another using the d…
The paper studies the high energy asymptotic behavior of the spectral function for singular self-adjoint differential operators of even order 2m on the line and half-line. Using the parabolic equation associated with the operator, resolvent kernel estimates for truncated coefficients, and Tauberian …
The paper develops an operational calculus and Paley-Wiener type results for a connected semisimple complex Lie group, using the Fourier transform associated with elementary representations. It analyzes finite-dimensional projections of the algebra of generalized functions concentrated at the identi…
This paper studies value distribution for entire polyanalytic functions represented as finite polynomials in the conjugate variable with entire analytic coefficients, asking how far Picard-type theorems extend beyond the analytic case. It first proves a fundamental-theorem-of-algebra analogue for po…
This paper develops structural results on polyvectors, especially k-vectors expressible as sums of simple exterior products with all component covectors linearly independent. It proves uniqueness of such decompositions for k greater than 2, gives criteria for recognizing simple-type polyvectors, and…
This paper addresses the effective magnetic permeability, electrical conductivity, dielectric permittivity, and thermal conductivity of composite media containing dispersed spherical or ellipsoidal inclusions, a problem motivated by petrophysical and geophysical applications. Using magnetic permeabi…
This note studies the holomorphic continuation of contributions of connected four point Feynman diagrams for scalar particles of equal mass, expressed through parametric integrals in the Mandelstam variables. Starting from a known domain of holomorphy and the associated Landau surfaces of the origin…
This paper develops a quantum electrodynamic treatment of induced transitions for an electron moving in a constant homogeneous magnetic field under an incident electromagnetic wave. Starting from the Dirac electron states in a magnetic field, the authors introduce damping through a finite level life…
This note studies the local structure of continuous strong Markov processes on a locally compact space through additive martingale-type functionals, called M-functionals. It develops quadratic variation and covariation for these functionals, proves absolute continuity relations between them, constru…
