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 growth scales for entire functions of several complex variables through the majorant of the function and the geometry of associated convex or quasiconvex functions. It analyzes Goldberg-type orders and shows how they correspond to scales built from homogeneous logarithmically conve…
This paper studies the one-dimensional reflection of a rarefaction wave from a rigid wall in the products of an instantaneous explosion in a constant gravitational field, for a gas obeying a polytropic equation of state. Starting from the general solution of the gas-dynamic equations for discrete ad…
This note interprets Tikhonov regularization for ill-posed statistical optimization problems in control systems from an information-theoretic viewpoint. For a Gaussian signal corrupted by additive Gaussian noise, the authors formulate a regularized mean-square filtering problem and show that the res…
The paper studies a singularly perturbed initial value problem for a system of quasilinear first order equations with a common principal part, where the initial condition for one component is scaled by a parameter dependent on the small parameter. Under sign and growth assumptions on the nonlinear t…
The paper formulates the three-fragment scattering problem with rearrangement in coordinate representation, focusing on energies where only two-fragment bound reaction channels are open. By decomposing the total wave function into channel components, the authors derive Faddeev-type nonsingular integ…
This paper studies repeated two-person zero-sum matrix games in which each pair of pure strategies has both a payoff and a mean duration, and the total encounter time is large but finite or random. It argues that ordinary optimal strategies for the payoff matrix, and generally also those for payoff …
The paper studies convergence of the Bubnov-Galerkin method for equations \(Af=g\) with self-adjoint operators in a separable Hilbert space, focusing on cases where the negative or positive part of the spectrum is finite in the sense of eigenvalues of finite multiplicity. It reformulates the method …
This note studies differential operators with smooth coefficients depending on a complex parameter on a ray, focusing on cases where the usual nonvanishing condition for the principal symbol fails. It derives necessary conditions for weighted a priori estimates in terms of the imaginary part of a Po…
This paper examines the stability of a magnetically confined plasma with trapped particles when the plasma pressure is finite, extending earlier zero pressure considerations of trapped particle instability. Using a qualitative electrostatic perturbation analysis, it compares the dielectric contribut…
This paper studies additive functionals of time-homogeneous semi-Markov processes with a countable state space, under recurrence and stationarity assumptions on the embedded Markov chain. Using regeneration at returns to a fixed state, it derives limit theorems that reduce the asymptotic behavior of…
This paper studies zero-sum differential games of fixed duration in which one player observes the current state while the minimizing player receives state information only after a fixed lag. A discrete-time approximation is introduced to define information sets, pure, mixed, and behavioral strategie…
The paper examines passage through the self-oscillation zone of a rigid rotor rotating in journal bearings, focusing on the use of elastic supports rather than specially shaped vibration-resistant bearings. A nonlinear model is formulated for a symmetric rotor in elastic journal bearings, and, for a…
The paper determines the crystal structure of the Khibiny mineral phenaksite, a potassium, sodium, and iron silicate, and refines its formula as KNaFe[Si4O10]. Using Weissenberg X-ray diffraction data, Patterson analysis, multiple-peak methods, electron-density syntheses, and least-squares refinemen…
This paper gives a parametric characterization of the class of normalized univalent holomorphic functions in the unit disk. It introduces a compact class of nondecreasing two variable functions and uses Stieltjes integrals to formulate a Löwner type differential equation whose solutions yield exactl…
This note studies when the steepest descent process in Euclidean space can converge to a nondegenerate saddle point of a twice continuously differentiable function. It derives necessary equations for points in the saddle’s domain of attraction, using the descent operator and the negative eigenspace …
This paper reports experimental aerogravimetric measurements conducted over the Caspian Sea in May 1969 to assess the feasibility of airborne gravity surveying for regional geophysical applications. Measurements were made from an Il-14 aircraft using specially designed string gravimeters, barometric…
The paper studies when linear operators from normed spaces into spaces of measurable functions can be represented by scalar products with strongly measurable dual-valued kernels, extending earlier integral-operator representation results beyond separable settings. It introduces C-operators and chara…
This paper develops a multiplicative notion of dispersion for probability measures on compact groups, formulated as a continuous nonnegative homomorphism on a semigroup of measures that vanishes on invariant measures of nontrivial subgroups. It derives basic properties of such dispersions, applies t…
This paper develops a hydrodynamic model for the interaction between the supersonic solar wind and a moving, ionized interstellar medium, assuming that Coulomb collisions and related plasma processes allow the flows to be treated as single-velocity gases. The authors approximate the compressed regio…
The paper studies step-sum processes formed from random rewards attached to the states of a finite semi-Markov process, with holding times and increments depending on the current state. Under ergodicity of the embedded Markov chain and finite second-moment assumptions, it establishes convergence of …
This note studies a class of Bessel-kernel integral equations arising in mixed boundary-value problems of elasticity and mathematical physics for a layer with a circular change of boundary conditions, with emphasis on the large-radius limit. Under analyticity, factorization, and asymptotic assumptio…
This paper reports visual observations, photography, and spectrophotometry of the Earth’s twilight atmospheric halo conducted from the Soyuz-5 spacecraft in January 1969 under cloudless, continuous cloud, and broken cloud conditions. Using a hand-held spectrograph and camera observations in the 400 …
The paper introduces two characteristics of probability distributions, called the r-center and r-spread, defined through integrals of the imaginary and real parts of the logarithm of the characteristic function. It develops their basic properties, including behavior under scaling and reflection, add…
Electron paramagnetic resonance spectra of Cu(II) were measured in cesium phosphate glasses containing 20 to 50 mol.% cesium oxide and compared with sodium phosphate glasses of analogous compositions. Using room and liquid-nitrogen temperature EPR measurements and spin-Hamiltonian parameters, the st…
This paper extends the theory of abelian groups in which all L-closed subgroups are complemented to a nonabelian setting. It defines a nonabelian CL-group as a group satisfying a complement condition for L-closed subgroups of maximal abelian subgroups and possessing an invariant maximal abelian subg…
This paper studies the iteration behavior of the fully integer Gomory cutting-plane algorithm, formulated more generally as a class of algorithms differing only in the rule for selecting the row used to construct the cut. It constructs pathological integer linear programming tableaux with bounded co…
This paper examines surface breakdown when gas electrodes contact a solid dielectric or semiconductor, focusing on the transition between discharge along the gas interface and breakdown through the solid. The authors model the gas and solid as parallel conductive paths with strongly nonuniform field…
The crystal structure of the double fluoride BaTm2F8, formed in the BaF2, TmF3 system, was determined from single crystal X-ray diffraction data because no structural analogues were known. Using heavy atom methods, Patterson and electron density projections, and least squares refinement, the authors…
This paper studies the metric classification of decreasing sequences of measurable partitions of Lebesgue spaces, with emphasis on homogeneous dyadic sequences whose finite initial segments are all isomorphic. It introduces the accompanying partition and universal projectors as tools for identifying…
This paper studies finite groups that are not decomposable into a uniform product of their Sylow subgroups while all proper subgroups are so decomposable, termed groups of type CS. Using skew products of cyclic groups with finite fields and presentations by generators and relations, it develops stru…
This paper derives approximation formulas for the polarizability tensor of a homogeneous dielectric body and for the electrostatic capacitance of a conductor of arbitrary shape. The formulas are expressed through surface integrals over the boundary, with error estimates showing geometric convergence…
The paper studies quasisymmetric conformally Euclidean spaces of dimension at least four and gives coordinate conditions for when such spaces are symmetric, including a classification of the real parts of their absolutes. It then applies this geometry to a relativistic cosmological model with nonzer…
The paper develops an asymptotic averaging method for nonsinusoidal waves in arbitrary nonlinear first-order partial differential systems, including cases with slow inhomogeneity, nonstationarity, and possible nonconservative terms. Starting from a family of periodic stationary plane-wave solutions,…
This paper studies steady finite-amplitude capillary-gravity waves on an ideal incompressible liquid of infinite depth, forced by a periodic pressure distribution on the free surface. Using conformal mapping, Bernoulli’s condition with surface tension, and Dini relations, the boundary-value problem …
This paper studies minimax time-to-encounter differential games for systems with additive controls of two players, using approximation strategies defined through set-valued contingent dynamics. It introduces stability and absorption notions for families of closed sets and constructs extremal strateg…
This note studies stabilization as time tends to infinity for solutions of the Cauchy problem for the heat equation in Euclidean space with continuous initial data of controlled exponential growth. It formulates necessary and sufficient conditions for uniform stabilization in all space in terms of c…
The paper studies an abstract first order anticanonical differential equation in a complex Hilbert space with periodic operator coefficients, motivated by second order equations arising in periodic acoustic and electromagnetic waveguides. Under positivity, domain, and smoothness assumptions on the p…
This paper examines the role of cementite, Fe3C, in diamond synthesis in the iron, graphite system under high pressure and temperature. The authors compare thermodynamic considerations with experiments at about 60 kbar and 1500 to 1600 degrees, including tests on iron, graphite mixtures of varied co…
The paper examines how integral conservation laws in general relativity can be derived from the covariant differential conservation law for a symmetric energy momentum tensor when spacetime admits a group of motions. By contracting the tensor with Killing vectors and applying Green’s formula in a Ri…
The paper studies a necessary topological condition for Tikhonov regularizability of approximate solutions to injective equations between metric spaces. It proves that if such a problem is regularizable, then the images under the regularizing operators of any dense subset of the data space form a de…
The paper studies the number of integral solutions to the Thue equation defined by a binary form of degree at least three representing unity. Building on earlier finiteness results of Thue and uniform bounds known mainly for cubic forms, it addresses whether a bound depending only on the degree can …
The paper studies asymptotic formulas for the number of solutions of Waring-type congruences modulo prime powers, especially in cases where such formulas may fail when the number of variables equals the exponent. It replaces the fixed right-hand side by a variable ranging over a short interval and i…
This paper examines the statistical properties of photocurrents produced by multiquantum photoelectric registration of radiation, extending earlier treatments focused on ordinary single-quantum detection. Within a semiclassical framework, it generalizes Mandel’s photoelectron-counting formula to a k…
This paper studies maximal functions formed from the partial sums of cosine and sine trigonometric series whose coefficients tend to zero and form a quasiconvex sequence. It proves asymptotic estimates for the integrals, away from the origin, of the majorants of these partial sums in terms of tail m…
This paper addresses the problem of measuring gravity from a moving marine base, where inertial accelerations and platform tilts can greatly exceed the gravity increments being sought. It proposes a method using the phase behavior of strongly damped pendulums: discrete gravimeter readings are select…
This note studies inverse polyhedral representations of metric spaces, with emphasis on irreducibility, standardness, and behavior on systems of closed subsets. It extends results of Freudenthal, Isbell, and Pasynkov by proving that every sigma-locally finite system of closed subsets of a complete m…
This paper develops a method for solving boundary value problems arising in the stability analysis of axisymmetric equilibrium states of circular cylindrical shells. After separation of variables, the problem is reduced to a homogeneous system of ordinary differential equations with exponential coef…
This study examines the nature of chemical bonding in vanadyl complexes incorporated into oxide glasses, using electron paramagnetic resonance and electronic absorption spectra for phosphate, silicate, and borate systems containing vanadium. Interpreting the spectral parameters within molecular-orbi…
This paper examines whether the spatial extent of an earthquake source can be inferred from kinematic seismic data rather than treating the source as a single point hypocenter. The authors propose a procedure based on comparing first arrival time residuals for alternative hypocenters and grouping st…
