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 error estimates for approximate differentiation obtained by differentiating Lagrange and Hermite interpolation polynomials on the interval [-1,1]. For node matrices related to Chebyshev polynomials of the first and second kind, including variants with and without endpoints, the aut…
The paper studies structural properties of segment-functionals that define extremal polynomials on the interval [0,1], extending earlier results for functionals with prescribed zero and normalized coefficients. Using the linear system relating functional moments to loads at extremal nodes, it analyz…
This paper studies commutative symmetric Banach algebras of bounded operators in the Pontryagin space with one negative square, using Naimark’s model classification into singular and nonsingular cases. It analyzes the parameter systems defining such algebras, the associated ideals and quotient norms…
This paper examines whether polarization measurements in elastic electron proton scattering can improve determination of the proton charge form factor at large momentum transfer, where unpolarized cross sections are dominated by the magnetic form factor. Using Born approximation formulas for recoil …
This paper studies short exact sequences in a category whose objects are modules with varying operator rings and whose morphisms are compatible pairs of group and ring homomorphisms. It formulates the extension problem via coupling homomorphisms into quotient modules of multiplications and relates e…
The paper studies linear differential equations in a Banach space whose leading operator degenerates at an endpoint, reducing them to equations with a scalar degenerating coefficient and bounded operator terms. Using resolving operators and spectral separation assumptions on the limiting operator, i…
The paper establishes multiplicative inequalities that bound the uniform norm of functions in Hölder and weighted Guseinov type classes by products of Hölder type norms and Lebesgue norms, including versions on intervals, multidimensional cubes, and Lyapunov contours. These estimates are then applie…
This paper reports measurements of the temperature, pressure, and density of the Venusian atmosphere obtained during the descent of the Venera-4 automatic interplanetary station on 18 October 1967. Using resistance thermometers, an aneroid manometer, and an ionization-chamber densitometer, the autho…
This paper reexamines the total transport method associated with Stommel, Sverdrup, and Munk for steady ocean currents in a closed basin. Starting from the momentum, continuity, density transport, and boundary condition equations, it argues that a frictionless bottom condition leads to an inadequate…
This paper investigates oscillations of the visible crystallization front during silicon single-crystal growth by the Czochralski method. Using photographic and high-speed motion-picture recording on growth installations with high-frequency and resistance heating, the authors directly observed the f…
The paper studies oscillations of solutions to the biharmonic boundary value problem in the unit disk with prescribed boundary values and zero normal derivative on the boundary. It derives estimates for radial oscillations in terms of the second modulus of smoothness of the boundary function, and ob…
The paper studies analytic continuation of Dirichlet series formed from eigenvalues of elliptic boundary value problems on bounded smooth domains. For the Laplace operator with Dirichlet or Neumann boundary conditions, it extends earlier low dimensional results by describing the meromorphic continua…
This note proposes a theoretical interpretation of a previously observed simple spectral regularity in meson, meson and meson, baryon resonant states, expressed through the variable defined by the squared resonance mass minus the squared masses of the two decay products. It argues that, under a cros…
The paper studies the Cauchy problem in the complex domain for a second-order linear equation with two independent complex variables, analytic coefficients, and analytic initial data prescribed on a complex curve. Using differential forms and a holomorphic analogue of metric conjugation, it derives …
This paper examines how contact with a metal modifies the energy spectrum of a dielectric, particularly the narrowing of the forbidden band near the interface. Using an equilibrium energy-balance argument that includes image forces and the macroscopic electric field, it derives distance-dependent ex…
This paper addresses Minkowski’s problem for systems of inhomogeneous linear forms associated with unimodular matrices. It proves an upper bound for the minimum, over integral vectors, of the absolute product of the coordinates of A(X) plus an arbitrary shift, when the matrix A admits a decompositio…
This paper studies complete immersed two-dimensional surfaces in Euclidean three-space, with emphasis on nonpositive curvature and the global behavior of their level curves, spherical images, and ends. Using gradient lines, Morse-theoretic arguments, and properties of the limiting directions of norm…
The paper studies representations of an infinite-dimensional Clifford algebra by bounded self-adjoint operators on a separable Hilbert space, focusing on operators that commute with a given representation and on the type classification of the weakly closed ring it generates. Using the direct integra…
This paper investigates how constant and pulsed electric fields affect latent photographic images in type-P nuclear emulsions previously exposed to charged particles. Emulsion layers were placed between plane electrodes and subjected to fields from 10^3 to 8 x 10^5 V/cm, followed by conventional dev…
This note studies subsets of families of one-place recursive functions that are decidable relative to the ambient family, extending earlier observations beyond sets defined by finitely many function values and a recursive predicate. It constructs a broader class using recursively enumerable families…
This note extends a previously constructed Euler numerical algorithm for finding asymptotically stable singular points of ordinary differential equations to the setting of partial asymptotic stability. It establishes converse Lyapunov-type criteria for partial stability in the large, including versi…
The paper studies stability of the trivial solution of nonlinear perturbed motion equations on a finite time interval, using a variable ellipsoidal domain of admissible deviations. It introduces a transformation based on asymptotic diagonalization of the linear part, including recurrence formulas fo…
This paper develops a two-layer ageostrophic model of baroclinic instability for atmospheric and oceanic flows, aiming to reconcile quasi-geostrophic results such as Phillips’ model with Kochin’s ageostrophic theory. Starting from linearized momentum, continuity, and pressure-interface conditions on…
The paper addresses the existence of unconditional bases in quotient spaces associated with Hardy type subspaces, specifically \(L_1/H_0^1\) and \(L'/H'_0\). Using results of Pelczynski together with a Baire category argument and constructions involving bounded analytic functions and conformal mappi…
The paper studies approximation of dynamic characteristics of control objects by models when the input signal has finite support, formulating the output error through Fourier transforms of the object and model transfer functions. It approximates the transfer function on a finite frequency interval u…
This note introduces classes of plane mappings defined by an integral condition involving a convex function of the generalized derivative, extending the previously studied class with bounded Dirichlet-type integral. Using Suvorov’s method, it establishes sharp two-sided estimates for the distortion …
The paper studies equivalence of finite automata with a final state relative to a free semigroup with identity and a right zero, viewed as an automaton over its generators together with the zero element. It decomposes the semigroup into two free automata components and derives a criterion expressing…
This paper examines neutrino and antineutrino energy emission in very hot stellar matter when the Pauli exclusion principle makes occupation of final neutrino states non-negligible, especially during relativistic collapse. Using a simplified homogeneous and isotropic model of an emitting stellar reg…
This paper examines whether the internal energy of a solid in a nonequilibrium process may depend not only on temperature but also on the rate of temperature change. A phenomenological linear model is proposed and tested by applying short electrical heating pulses to copper specimens while independe…
This note studies positive classical solutions of second order linear elliptic equations whose coefficients satisfy a Cordes type condition expressed through a comparison inequality for the fundamental radial power function. Using maximum principle arguments and auxiliary integral barriers, it prove…
The paper develops a method for solving nonlinear integral equations in a Lipschitz function space by introducing a continuous parameter, yielding a continuous analogue of Newton’s method for the associated operator equation. Under assumptions of local uniqueness, differentiability of the kernel, Li…
The paper determines the crystal structure of synthetic Na,Cd-triorthosilicate, Na2Cd3[Si3O10], obtained hydrothermally as phase L in the Na2O, CdO, SiO2, H2O system. Using Weissenberg X-ray intensity data, Patterson and Fourier syntheses, and least-squares refinement, the authors assign the monocli…
This paper develops systems of symmetric functions associated with barycentric coordinates in Euclidean space and the permutation group of the vertices of a regular simplex. It defines symmetrized functions on the lattice of integral barycentric coordinates, gives generating and integral representat…
The paper develops an algebraic framework for difference operators in convolutions on uniform grids, intended as discrete analogues of pseudodifferential operators and as tools for analyzing difference schemes. It defines grid Sobolev-type spaces, homogeneous and general difference operators through…
The paper studies the solution of higher order finite difference Dirichlet problems for the Poisson equation in a rectangle, with schemes of accuracy O(|h|4) and, for equal mesh steps, O(h6). It proposes an alternating direction iterative method using two parameter sets and reduces the minimax choic…
This paper examines penetration of a quasistationary traveling electromagnetic field into a conducting plasma layer when the Hall term in Ohm’s law makes the skin effect nonlinear. The authors formulate the field and current equations in a moving reference frame and propose an iterative harmonic met…
This paper analyzes the spatial motion of an axisymmetric body whose center of mass is displaced from the symmetry axis and whose center of mass moves uniformly in a straight line. Using Euler equations with aerodynamic restoring and damping moments, it derives energy and angular momentum relations …
The paper studies conditionally periodic solutions of analytic Hamiltonian systems with periodic angle variables, starting from a known invariant solution and reducing the Hamiltonian by canonical transformations to a normal form near that solution. Under simplicity, nonresonance, and nondegeneracy …
This paper examines whether the shapes of the copper X-ray emission LII and LIII bands can be used to characterize the occupied 3d states in the conduction band. The authors calculate the LIII emission band by the cellular method, including transition probabilities and symmetry components of the val…
This paper studies numerical solution of ill-posed linear integral equations of convolution type in the Hilbert space setting, motivated by problems in exploration geophysics. Building on Tikhonov regularization and Ivanov’s notion of uniform regularization, it introduces two-parameter regularizing …
The paper determines the crystal structure of hydrothermally synthesized basic lithium cadmium molybdate, LiCd[MoO4]OH, using X-ray diffraction data supplemented by chemical analysis, thermal analysis, and infrared spectroscopy. The compound is monoclinic, space group P21/a, with four formula units …
The paper studies Hill stability in the unrestricted Newtonian three-body problem for negative energy and nonzero angular momentum. Using an inequality related to Sundman’s inequality, it introduces a dimensionless stability index and reduces the question to the geometry of level curves of a functio…
This note studies regular Dirichlet decompositions of three-dimensional Euclidean space for the second triclinic group, using the representation of a generic orbit as a bilattice. It proposes a method based on decomposing a Dirichlet parallelohedron into pieces and analyzing the possible positions o…
This paper studies controllability for a linear system of differential equations with constant coefficients and controls restricted to a closed domain in a control subspace containing a neighborhood of the origin. It introduces a “general position” condition for the control vectors, requiring the ex…
The paper formulates a linearized potential-flow problem for the velocity field generated when small surface vibrations propagate over a finite wing moving rectilinearly in an ideal compressible medium at supersonic speed. Using an integral representation for the solution of the governing hyperbolic…
This paper establishes embedding theorems for weighted anisotropic function spaces on the half space into spaces with mixed norms on boundary sections. It defines weighted spaces through fractional differences with weight in the normal variable and formulates conditions on the smoothness indices, in…
This note addresses the failure, in general normal spaces and some compact spaces, of the classical covering dimension to coincide with the small and large inductive dimensions. It proposes modified inductive invariants, denoted ind* and Ind*, in which dimensional restrictions are imposed not direct…
This paper investigates the flow regime of liquids in glass capillaries with radii from 0.01 to 0.1 micrometers, where previously observed capillary uptake rates exceeded Washburn equation predictions. Using measurements of meniscus velocity as functions of distance, pressure, and capillary radius f…
This paper examines the synthesis of variable-structure automatic control systems when stationary normally distributed noise acts on the logic-forming block and can disrupt the sliding mode. Using statistical linearization, the authors derive approximate equations for the mathematical expectations o…
