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 study examines paramagnetic centers produced by gamma irradiation in lithium gallium silicate glasses using electron paramagnetic resonance. Two glass compositions on opposite sides of the Ga2O3/Li2O ratio of unity were irradiated with Co60 gamma rays, and their induced spectra were compared. T…
The paper examines whether localized gravitational wave packets in general relativity possess a nonzero integral energy and momentum, despite the coordinate dependence of local gravitational energy pseudotensors. Using the weak-field approximation, the authors construct wave-type vacuum solutions sa…
The paper studies solvability of nonlinear operator equations of the form K1K2(u) + K3(u) = h in reflexive separable Banach spaces, motivated by boundary value problems for quasilinear elliptic and parabolic equations and related integro-differential equations. Using a Galerkin approximation scheme …
The paper compares uniform approximation of analytic functions on the closed unit disk by polynomials and by rational functions of bounded degree. Using a Hahn Banach best approximation criterion, the authors derive lower bounds for rational approximation of certain lacunary power series and show ca…
This paper derives explicit half-space potentials for the homogeneous linear system governing small oscillations of a rotating incompressible fluid. Using Laplace transforms in time and Fourier transforms in the tangential spatial variables, it obtains integral formulas for two boundary-value proble…
The paper addresses the formalized optimization of designing technological automatic machines, focusing on assembly machines for products composed of a base part and attached components. It proposes a two-stage synthesis framework: first, generating and evaluating conceptual operator schemes for ope…
This note studies radial boundary values of meromorphic functions in the generalized Nevanlinna classes defined by a bounded alpha-characteristic, focusing on the case minus one less than alpha less than zero. Using the parametric representation of these classes, generalized Blaschke products, estim…
The paper studies equivalences between a branching property for a strongly inaccessible cardinal and compactness or cardinality conditions in general topology. It reviews earlier equivalences involving branching systems, ordered compacta, and T^sigma products, then proves that the branching property…
We consider the problem of finding a solution to the following system of equations: $$\frac{\partial u^{(1)}}{\partial t}=\sum_{l=0}^2C_{0l}^{(1)}(x)\frac{\partial^lu^{(1)}}{\partial x^l}+f^{(1)}(x,t),\quad x\in(a_1,b_1),\quad t\in(0,T),$$ $$\frac{\partial^2 u^{(2)}}{\partial t^2}=\sum_{\substack{{k…
This paper analyzes radiative effects in high energy electron electron scattering in colliding beams, motivated by the need to include such corrections in precision tests of quantum electrodynamics at small distances. It derives simple expressions for cross sections with emission of photons of arbit…
This paper studies best uniform approximation on the real line of uniformly continuous real functions by entire functions of finite exponential type, in terms of a prescribed modulus of continuity. Using properties of a nonlinear supremum operator and a theorem on approximation of Lipschitz function…
This paper addresses the construction of generator functions in the method of contact transformations for diagonalizing vibrational and rotational energy operators. It derives a general expansion formula for successive unitary transformations of a Hermitian operator and formulates a procedure for ch…
This paper extends Calderón’s construction of intermediate Banach structures from measurable function spaces to broader semiordered spaces, focusing on conjugate and dual spaces. It proves that, for suitable \(b\)-complete \(KN\)-spaces \(X_1\) and \(X_2\), the conjugate of \(X_1^{1-s}X_2^s\) coinci…
The paper considers a necessary and sufficient condition for the validity of a theorem analogous to S. A. Chaplygin's theorem on differential inequalities for an elliptic difference equation. Effective estimates of the domain of applicability of the mentioned theorem to difference and differential e…
This study examines the structure and composition of oxide films formed by bombarding the (111) surface of n-type silicon with oxygen ions, motivated by their use as insulating and masking layers in semiconductor technology. The authors compare etching behavior with infrared absorption and electron …
This paper studies the uniform approximation of functions from a generalized Lipschitz class by positive linear operators generated from an orthonormal system with respect to a monotone weight. It derives an upper estimate for the pointwise maximal deviation of such operators in terms of the modulus…
This paper studies uniform convergence on the full interval of Fourier series in Jacobi polynomials for continuous functions of bounded variation. Using estimates for the Jacobi kernel, integral bounds for partial sum kernels, asymptotic formulas, and mean value arguments, it proves boundedness of c…
This note generalizes finite automata by allowing transition functions and sets of marked states to vary with time, a modification motivated by limitations of time-invariant automata in representing certain events. It defines representability for events over a finite alphabet and gives a Myhill-type…
This paper investigates secondary electron emission from a KCl single crystal bombarded normally on the (100) face by helium ions with energies from 20 to 400 eV, focusing on whether potential electron ejection occurs in an alkali halide dielectric. Energy distributions were obtained by the retardin…
The paper introduces a new definition of an integral of Temlyakov type for bicircular convex domains of class T in two complex variables, allowing densities given on a product parameter set rather than only on the boundary. It establishes conditions under which these integrals are holomorphic in the…
The paper studies an inhomogeneous singular Cauchy problem for a linear differential operator independent of the singular variable, comparing its solutions with those of the corresponding homogeneous parameter case. It derives series expansions, connection formulas, addition theorems, and integral r…
This paper develops an operator method for describing the linear viscoelastic behavior of polymeric bodies using Volterra kernels of the form of a power law multiplied by an exponential factor. Extending Rabotnov’s fractional-exponential operator theory, it proves composition rules for these kernels…
This paper develops an analogue of the Andronov-Witt stability theorem for autonomous ordinary differential equations with a bounded, not necessarily periodic, reference solution. It introduces standard and completely bounded solutions for associated linear systems, proves a representation lemma for…
This paper studies bounded solutions of second-order elliptic equations in unbounded domains, focusing on the structure of the boundary at infinity when different limiting values may occur along different paths. Using the diffusion process associated with the elliptic operator, the author gives cond…
The paper studies uniqueness and solvability of multipoint boundary value problems for linear ordinary differential equations of order n with continuous real coefficients. It derives sharper sufficient estimates for the length of the interval of unique solvability than earlier bounds of Vallée-Pouss…
This note addresses Shimura’s conjecture on the rationality of the local Hecke series for the Siegel modular group, specializing to genus 3. The argument identifies the relevant Hecke ring with a subring of a local convolution algebra, expresses the Fourier transform of the Hecke series as a zeta fu…
This paper studies periodic solutions of differential equations in a Banach space whose right-hand side switches between two values according to hysteresis thresholds defined by a continuous linear functional. Using semigroup assumptions on the linear operator and spectral separation by a simple dom…
This paper generalizes the statistical theory of optimal learning algorithms for automatic systems to cases in which unknown parameters of the joint distribution of input and required output signals vary randomly during learning and subsequent operation. It formulates the learning problem in Bayesia…
This paper develops a duality theory for concave-convex games defined on products of convex subsets of finite-dimensional spaces, using conjugate sets associated with hypographs and epigraphs of a closed kernel. It constructs conjugate functions through successive optimization in the two variables a…
This note gives a necessary and sufficient condition for Riemann integrability of constructive functions on the segment from 0 to 1. The criterion characterizes integrability by boundedness together with a quantitative smallness condition on finite families of intervals on which the function has osc…
This paper estimates how the density of crystalline crustal rocks changes with depth in the area of the Kovdor alkaline and ultrabasic massif at the Kola geophysical proving ground. Using gravity anomaly data, measured densities from rock samples, and corrections for regional background, vertical gr…
The paper formulates an optimal control problem for composite dynamical systems whose motion is governed by one differential system up to a switching time determined by a surface crossing, and by another system thereafter, with matching conditions at the transition. By reducing the problem to one wi…
This paper derives asymptotic equations for short wave flows in a viscous heat conducting gas, focusing on narrow regions near shock fronts where flow parameters vary rapidly. Starting from the continuity, Navier Stokes, energy, and state equations, the author introduces scaled moving coordinates an…
The paper studies the possible limiting behavior, in measure, of matrix summability means of trigonometric series for an arbitrary regular summation method whose defining matrix has finite rows. It proves that for any measurable functions satisfying a pointwise almost everywhere order relation, one …
This note generalizes the minimax principle for indecomposable nonnegative matrices to positive operators on ordered Banach spaces with a reproducing normal cone. It introduces semi-nonsupporting and strictly nonsupporting positive operators, uses a total subset of the dual cone, and formulates vari…
This study examines the relationship between anomalous spike-type extra reflections in Laue patterns of natural diamonds and their optical properties, with particular attention to infrared and ultraviolet absorption and luminescence. More than 100 Yakutian diamond samples were analyzed by infrared a…
This note constructs a generalized Riemann-Liouville type operator determined by a weight function on the unit interval and studies its associated coefficient multipliers and kernel functions. It establishes positivity and boundary properties for the resulting series under monotonicity or limiting a…
This note studies a differential game of pursuit and evasion for linear controlled motions with integral constraints on the remaining control resources, focusing on encounter in only a prescribed subset of phase coordinates. It shows that the extremal aiming rule, which solves the full-coordinate en…
This paper constructs a class of locally symmetric spaces of affine connection whose group generated by geodesic displacements is properly contained in a larger Lie transformation group. Using Lie algebras of transitive differential groups of order two, the authors associate such spaces with Jordan …
The behavior of solutions to differential equations containing angular coordinates is investigated. Dynamical systems defined by such equations are often referred to as phase systems. In the first part of the work, a third-order equation is studied. Using a specially constructed Lyapunov function, a…
This paper studies how large the class of bounded three-dimensional domains quasiconformally equivalent to a ball is among all bounded homeomorphic images of the unit ball. A Hausdorff-type metric is introduced on complements of such domains, and its relation to Carathéodory kernel convergence and t…
