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 examines pressure-induced changes in the electrical resistance of rubidium, cesium, and calcium, with emphasis on their use as reference points for high-pressure calibration. Using modified three-stage and four-stage high-pressure apparatuses calibrated with known transitions, the authors…
The paper studies boundary-value problems for a class of high-order differential-operator equations in a Hilbert space, termed partially hyperbolic, extending known results for first and second order cases to arbitrary order. It formulates weighted function spaces and analyzes equations on the whole…
The paper studies removable singularity sets for mappings with bounded distortion and for quasiconformal mappings in Euclidean space. It introduces zero alpha-capacity sets, establishes auxiliary results relating such sets to Hausdorff measure and projections of measure zero, and proves an estimate …
This note studies least common residues and least mixed residue or nonresidue values of polynomial systems modulo a prime. Using estimates for rational points and exponential sums on algebraic curves over finite fields, it proves that under absolute irreducibility hypotheses the least common natural…
The paper studies the Cauchy problem for linear nonhomogeneous differential equations with retarded argument in a Banach space, with initial data taken either from an \(L_p\) space or from the space of continuous functions. Its main method is to replace the delay equation by an equivalent ordinary d…
The paper studies infinite nonabelian groups satisfying the minimality condition for noninvariant abelian subgroups, with emphasis on locally soluble and periodic cases. It proves that any such group containing elements of infinite order is a JH-group, having an infinite abelian normal divisor of fi…
This note studies the enumeration of precomplete classes in finite k-valued logics, a central component of completeness criteria for such logics. Using Rosenberg’s classification of precomplete classes into six families, the authors reduce the asymptotic count to the enumeration of central predicate…
This note studies whether Lagrange interpolation at an arbitrary infinite triangular matrix of nodes on a finite interval can be made convergent for every function in the class \(ACG_*\). Building on known positive results for absolutely continuous functions under Chebyshev and related node systems,…
This paper addresses the arithmeticity problem for lattices in semisimple real Lie groups, focusing on noncompact finite-volume quotients and irreducible pairs in real rank at least two. It outlines a proof that such a discrete subgroup is commensurable, along a parabolic subgroup, with the rational…
This paper addresses the stationary motion of a charged particle beam in an axisymmetric external electromagnetic field while accounting for the beam’s own space charge. A self-consistent formulation couples particle trajectory equations with Poisson’s equation for the electric potential, and an ite…
This note studies structural closure operations on classes of groups, with emphasis on Baer groups and their relation to nilpotent and radical constructions. It first constructs, for each integer n at least 1, a Baer p-group that is not generated by its n-generated nilpotent subgroups, using iterate…
The paper studies periodic solutions of the one-dimensional diffusion equation on a finite interval, motivated by self-oscillatory phenomena previously treated mainly for semi-infinite domains. It formulates the bounded-domain problem with a fixed concentration at one endpoint and a nonlinear, possi…
This paper studies optimal completion time in a linear differential pursuit problem with convex compact control sets and a linear terminal subspace. Building on Pontryagin’s construction of a guaranteed pursuit time defined by first inclusion in an integral of convex-set differences, the authors ask…
This paper develops a theoretical basis for studying the piezomagnetic response of magnetically anomalous bodies to time varying stresses in the Earth’s crust. Using potential theory, the authors derive expressions for temporal changes in magnetic potential and in the vertical magnetic component, se…
This paper studies peripherally bicompact tree-like spaces, using earlier results that such spaces have bases of connected open sets with finite boundaries and are linearly connected. It proves that the density of such a space equals its weight, establishing in particular that separability implies c…
This paper examines whether small secular changes in gravity can be detected over broad areas despite measurement errors, using repeated gravimetric observations from the Middle Volga and Baltic regions of the Russian Platform. The author compares gravity measurements made between 1949 and 1968, con…
This study examines the microstructure of artificial polycrystalline diamonds, ballas and carbonado, using transmission electron microscopy of mechanically comminuted, electron transparent fragments. The observations show wedge shaped crystallites with cleavage steps often near {112}, {110}, and {11…
The crystal structure of hydrothermally formed Pr3WO6Cl3 was determined from single-crystal X-ray diffraction data for a hexagonal cell with space group P63/m, using Patterson analysis, electron-density syntheses, and least-squares refinement. The final centrosymmetric model, refined against 923 non…
The paper proposes a family of successive approximation methods for solving nonlinear functional equations in Banach spaces under differentiability and local invertibility assumptions. The iteration is constructed by choosing operator coefficients recursively so that the first k derivatives of the i…
The paper studies commutative nilpotent associative algebras over the complex numbers through the complete lattice of their ideals, asking which algebraic properties and isomorphism classes can be recovered from this lattice. It develops lattice-theoretic characterizations of dimension, annihilators…
The paper develops a method for deriving interpolation theorems in symmetric Banach spaces of measurable functions on the unit interval. The approach represents norms in such spaces as suprema of Lorentz-type norms and uses boundedness results for operators between these auxiliary spaces, together w…
The paper develops a two-sided collecting process for words in free groups with respect to bases of basic commutators, motivated by limitations of the Hall and Shirshov processes when computations are carried out only modulo a fixed term of the lower central series. It defines natural and layerwise …
This paper develops a method for studying Temlyakov-type integrals in their domain of nonanalyticity using first-order linear homogeneous differential operators. The approach combines a generalized Newton-Leibniz formula for such operators with formulas reducing multiple integrals to repeated integr…
The paper reports methods for fabricating cadmium telluride p-n junctions and examines their electrical and detector properties. Junctions were produced in p-type single-crystal CdTe by indium or gallium alloying and diffusion, or by boron ion bombardment, with improved surface treatment reducing le…
This paper develops iterative methods for nonlinear systems of finite difference equations, with emphasis on difference analogues of strongly elliptic boundary value problems in a parallelepiped. It formulates abstract monotonicity and differentiability conditions in finite-dimensional Hilbert space…
This study examines the range of optical thicknesses over which Bouguer’s law remains applicable for laser radiation propagating through water fog, taking into account forward and multiple scattering recorded by a finite aperture receiver. Experiments in an artificial fog chamber compared simultaneo…
A microscopic formulation of the direct Josephson effect is developed for two identical superconductors separated by a potential barrier. Starting from Gor'kov Matsubara equations in a basis of one-particle states in the barrier field, the authors introduce a time-like representation that averages o…
This paper studies eigenfunction expansions for a second order differential equation in a Hilbert space with an unbounded operator coefficient of the form A minus q(t), where A is self-adjoint and semibounded below and q(t) is bounded self-adjoint. It develops weak and strong solution theory for the…
This paper reports low-temperature electrical resistance measurements on lutetium films condensed onto glass substrates cooled by liquid helium, with film thicknesses from about 300 to 8000 Å and with measurements before and after annealing. All investigated films showed a distinct resistance minimu…
The study investigates charge accumulation in liquid-phase epitaxial gallium arsenide emitting p-n structures doped with silicon in both regions. Using pulsed excitation at room temperature, the authors recorded current, voltage, and luminescence pulses, examined the emission region and spectrum, an…
The paper formulates a two-player zero-sum variant of the discrete optimal stopping problem on an increasing sequence of sigma-algebras, where each player may stop only at times determined by the sign of an adapted process and the payoff is the stopped value of another adapted process. Under an inte…
The paper examines the possibility of direct acceleration of charged particles by energy stored in an inverted paramagnetic medium. It formulates a self-consistent electrodynamic model for a modulated current passing through such a medium near magnetic resonance, derives nonlinear equations for the …
The note studies stability of bases and defective bases in locally convex spaces under perturbations of the basis vectors. It gives criteria for equicontinuous, absolute, and Bessel bases in complete locally convex spaces, including conditions under which a perturbed sequence remains a basis equival…
This note proves an approximation theorem for analytic functions in the weighted Banach spaces defined by integrability of \((1-|z|^2)^q|\varphi(z)|\) over the unit disk. It shows that every such function can be approximated in the corresponding norm by rational functions with at most simple poles o…
The paper studies maximum principles for a class of second order mixed elliptic-hyperbolic equations with singular lower order coefficients in a domain divided by a transition line. It first proves a characteristic absolute extremum principle for an associated hyperbolic equation in a triangular cha…
The paper studies the large-time behavior of solutions to a two-component quasilinear hyperbolic conservation system under the Lax genuine nonlinearity condition. For smooth initial data that approach two constant states at spatial infinity and satisfy a nondegeneracy and monotonicity condition in R…
This paper develops a superconductivity theory that incorporates crystal structure beyond the nearly free electron and effective mass approximations. Using a strongly bound electron model, orthogonalized atomic functions, and an electron, phonon interaction Hamiltonian, it derives secular equations …
The paper investigates the origin of weak electron paramagnetic resonance lines associated with nitrogen ions in a natural diamond crystal, questioning earlier interpretations that attributed them to unpaired electrons in carbon, nitrogen bonds. Using angular dependences of EPR spectra measured at 9…
This paper proposes a semiempirical method for constructing approximate shock adiabats of solids over pressures extending from experimentally accessible dynamic-compression ranges to ultrahigh pressures where hydrodynamic and Thomas-Fermi descriptions are applicable. The approach decomposes pressure…
This paper develops a third-order theory for the figures of rotating liquid planets in hydrostatic equilibrium, motivated by the need to model Jupiter and Saturn with accuracy comparable to observed gravitational moments. It represents equipotential surfaces by spheroidal expansions with shape param…
This paper applies dimensional analysis to the hydrodynamic motion of interplanetary gas disturbed by solar chromospheric flares. Assuming approximate power-law forms for solar-wind density and velocity, and neglecting pressure, gravity, rotation, viscosity, heat conduction, and electromagnetic forc…
The paper studies the decay of a discontinuity for systems of two quasilinear conservation laws and gives an example showing that the usual Lax monotonicity condition does not by itself ensure existence of a self-similar Riemann solution. For the system with fluxes \(f=3\ln u+v\) and \(\varphi=2/u\)…
The paper studies hyperspaces of nonempty closed subsets with the Vietoris, or exponential, topology, focusing on the subspaces of compact sets and finite subsets. It establishes criteria relating topological properties of a space to those of its hyperspaces, including normality, paracompact p-space…
The paper studies the asymptotic stability of nonlinear pulse systems with a single pulse element whose pulse frequency is modulated by the input signal and includes a dead zone. The system is formulated as a nonlinear integral equation with exponentially decaying impulse response, and Popov-type fr…
This paper studies uniform convergence of variational-difference schemes for elliptic Dirichlet problems, with emphasis on estimates that reflect the smoothness of the coefficients, data, boundary, and mesh geometry. It constructs schemes on simplicial complexes, introduces complexes with alpha-symm…
This paper theoretically investigates self-focusing of intense axially symmetric monochromatic light beams in a nonlinear Kerr medium when the incident beam has a spherical phase front produced by a converging lens. The authors formulate the propagation problem in dimensionless variables and solve i…
The paper develops a general framework for applying the Bogolyubov-Krylov averaging method to evolution equations, including equations with retarded arguments and generalized time transformations. It defines averaged right hand sides and averaged generalized times in suitable spaces of continuous an…
This note shows that the homology K-groups previously introduced by the author can be realized within the framework of generalized Steenrod homology groups. For a fixed locally finite complex K, it constructs a category of barycentric subdivisions of products K by L and defines corresponding chain c…
This paper studies the equivalent tensile stiffness of an infinite isotropic plate containing a doubly periodic array of identical circular holes reinforced by thin elastic rings of a different material. Assuming the rings carry only tensile stress, the authors derive boundary conditions on the hole…
This paper studies Rosenblatt strong mixing for homogeneous Markov chains with a countable state space. It proves that an irreducible positive recurrent aperiodic chain satisfies the strong mixing condition, gives a null recurrent example where the condition fails, and relates the mixing coefficient…
