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 the limits of a perturbative theory for calculating short-wavelength K-absorption spectra of polycrystalline samples, in which the crystal potential is replaced by its spherical average around the absorbing atom. By expanding the periodic potential in reciprocal-lattice component…
This paper examines assumptions in the theory of vibrational relaxation in molecular collisions, especially the use of harmonic oscillators, perturbative treatments, and linear head-on collision models. Using classical mechanical calculations for atom and molecule impacts on diatomic molecules, incl…
This paper studies Euler-type numerical procedures for computing asymptotically stable solutions of systems of ordinary differential equations while exploiting stability to control accumulated error. Using Lyapunov functions, it proves convergence of variable-step iterative schemes for asymptoticall…
This note studies the minimaxity of Hotelling’s T squared test for testing a zero mean vector in a multivariate normal sample against alternatives with fixed Mahalanobis signal energy. Building on the reduction of Giri, Kiefer, and Stein, the authors treat the case p equals 2 and N equals 4 by trans…
This paper examines universal integrals of motion in stationary force fields with specified symmetries, focusing on the difficulty that energy and angular momentum alone do not determine general orbits. It argues that, even when the potential is not additively separable, symmetry permits the energy …
This paper addresses the solution of the hierarchy of kinetic equations for gases, with particular attention to the transition from reversible microscopic evolution to irreversible behavior and the emergence of molecular chaos. Using a modified small-parameter method, it separates fast reversible pr…
This paper analyzes particle structure and polarization effects in electron or muon pair annihilation into proton and antiproton pairs, and in the inverse reactions, within the one photon approximation. Allowing both proton and lepton vertices to have Dirac and Pauli form factors, the authors derive…
The paper studies linear functionals on the Banach space of functions analytic in the unit disk and continuous on its closure. Using the Riesz representation theorem, the F. and M. Riesz theorem, and a generalized Riesz equality, it gives a unique decomposition of the dual space into discrete measur…
The paper examines how fluctuations in the local rate of kinetic energy dissipation affect inertial-range turbulence statistics, addressing limitations of the classical two-thirds and five-thirds laws. It develops a cascade-based argument, consistent with lognormal assumptions for spatially averaged…
This paper classifies the possible nonoscillatory asymptotic behaviors of solutions to the second order linear equation with real continuous coefficients and sign definite coefficient q(t). Using a fundamental system consisting of a nonminimal positive solution and a minimal positive solution, the c…
The paper continues the study of surface parabolic potentials and fractional powers of parabolic operators in weighted Hölder spaces of functions with exponential growth. It proves a kernel cancellation lemma, boundedness of surface potential operators, and mapping properties for fractional integrat…
This paper reports preliminary measurements of the intensity and spectral composition of lunar gamma radiation obtained by the 32-channel scintillation gamma spectrometer aboard Luna-10 in selenocentric orbit. The study compares measured spectra over broad lunar regions with calibrated terrestrial r…
The paper extends a generalized area theorem for nonoverlapping simply connected domains to systems of functions mapping finitely connected domains conformally onto pairwise disjoint domains. Using Green functions, auxiliary kernel functions, and an area computation for the image of the complementar…
This paper examines the molecular mechanism of the phase transition in ferroelectrics isomorphous with triglycine sulfate, focusing on the role of tetrahedral sulfate, selenate, and fluoroberyllate groups. Using polarized infrared reflection spectra of oriented single-crystal sections, the authors r…
The paper studies an optimal control problem for differential systems with aftereffect, where both the state equation and the integral cost functional may contain variable delays. For a convex, bounded, weakly closed class of summable controls, it formulates a variational necessary condition for a m…
This study examines coherent diffraction production of pion mesons by 19.8 GeV/c protons in Ilford G-5 nuclear emulsion, focusing on three-prong interactions consistent with proton dissociation. Secondary particles in 179 events were identified using ionization losses and multiple Coulomb scattering…
This paper continues the study of generalized solutions to first-order nonlinear Cauchy problems of the form \(u_t+f(u_x)=0\), under convexity assumptions on \(f\). It develops construction methods for such solutions, chiefly through vanishing viscosity approximations, and proves convergence estimat…
This paper develops a nonlinear treatment of the drift-cone instability in an inhomogeneous magnetized plasma confined in an adiabatic trap, focusing on the particle losses produced when the ion transverse-velocity distribution contains a loss cone. Starting from the linear dispersion relation for h…
A method is developed for determining effective elastic constants and thermal expansion coefficients of nonhomogeneous bodies with a regular doubly periodic structure formed by arbitrarily placed hollow cylinders of different diameters embedded in a surrounding medium. Using complex potentials, elli…
This paper derives an approximate integral for magnetic field lines with a large longitudinal component in an arbitrary periodic curvilinear geometry, using an averaging method to define magnetic surfaces. The resulting expression is applied to toroidal configurations to analyze how small magnetic-f…
The paper studies bounded analytic operator functions on the unit disk with values in a separable Hilbert space, subject to contractivity, invertibility at the origin, and trace class perturbation conditions. It extends Potapov type multiplicative factorization to this infinite dimensional trace cla…
The paper studies triples of normally embedded Banach spaces and introduces notions of relatedness and absolute relatedness in terms of continuous normal scales and the index of an intermediate space. It proves lemmas reducing relatedness and absolute relatedness to the behavior of maximal and minim…
This paper studies approximation of periodic functions by bounded semiadditive operators, with emphasis on deriving smoothness properties from operator representations and estimating approximation orders when smoothness is measured by moduli of smoothness. It establishes a series of direct and inver…
The paper examines how to define solutions of nonlinear integral equations whose operators are discontinuous in the unknown function, noting shortcomings of earlier definitions when related to differential equations and continuation results. It proposes a new solution concept based on essential lowe…
This paper studies Orlicz classes and spaces generated by functions depending on both the point and the argument, on an arbitrary sigma-finite measure space. It formulates conditions, especially generalized growth conditions of Delta type, under which the Orlicz class and space coincide, mean conver…
This paper examines the formation of radioactive fallout particles and isotope fractionation during shallow underground nuclear explosions that eject soil, with emphasis on how these processes differ from surface and air bursts. Using calculations for a Sedan-type explosion in water-bearing alluvium…
This paper examines self-sustaining fracture in stressed brittle bodies, understood as a fracture wave driven by stored elastic energy after a load-free surface or unloading condition is suddenly created. The authors propose that such fracture occurs when the elastic energy per unit volume exceeds a…
This paper studies the asymptotic probabilities of first and second kind errors in Neyman Pearson testing between two hypotheses on the spectral density of a zero mean Gaussian stationary process observed at finitely many equally spaced points. For cases where the corresponding Gaussian measures are…
This paper estimates the mean computation time of one-dimensional one-sided iterative systems with combinational cells and delayed side channels, under independent input letters with fixed positive probabilities and a reset initial state. It characterizes the asymptotic behavior by a parameter rho d…
The paper formulates a general boundary value problem for long and superlong radio wave propagation around the Earth in a spherical, layered medium consisting of the Earth, atmosphere, and anisotropic ionosphere. It develops a coupled line method in which the electromagnetic field is expanded in nor…
The paper studies limiting distributions for normalized values of additive arithmetic functions, focusing on functions whose values on primes possess an asymptotic distribution and for which the associated truncated second moment over primes diverges. It develops estimates for sums of complex multip…
The paper studies the joint distribution of transition counts in a finite homogeneous ergodic Markov chain with positive transition probabilities. It first derives, by an inductive enumeration of chains with prescribed initial and terminal states, an explicit combinatorial formula for the number of …
This paper analyzes undamped intensity pulsations in quantum generators through a nonlinear equation governing laser radiation intensity. It derives the integral of motion and asymptotic periodic solutions of the associated conservative equation, focusing on the large modulation depth regime where t…
This paper examines the origin and role of dislocations in natural quartz crystals grown along the basal direction, focusing on the ditrigonal network and growth accessories observed on the 0001 surface. Using optical microscopy, electron microscopy, etching observations, and the moiré method, the s…
This paper reports measurements of thermophysical properties and geothermal conditions in selected wells of the Greater Caucasus and Ciscaucasia. Thermal conductivity was determined for several hundred igneous, metamorphic, and sedimentary rock samples in dry and moist states, and combined with temp…
This paper studies the location of resonance poles and analytic continuation in the three-dimensional Schrödinger scattering problem with a potential. Using the integral equation for the scattering solution and analytic Fredholm theory, together with an estimate of an iterated kernel at large comple…
This item is a journal contents and errata page rather than a research article. It lists articles from an issue or volume of Differential Equations, with authors, titles, issue numbers, and page ranges, covering topics such as boundary-value problems, Green’s functions, averaging methods, integral e…
This paper develops a statistical modeling approach for complex cybernetic production systems in which the production process and its control hierarchy must be studied jointly. Using the example of a petroleum refinery with continuous processing units, the authors formalize the enterprise as a self-…
This paper develops a kinetic-equation framework for describing cloud droplet spectra, motivated by the difficulty of explaining droplet growth at sizes where gravitational coagulation is weak and ordinary condensational growth is insufficient. Starting from a distribution function in squared drople…
The paper studies linear continuous operators in countably normed spaces and their adjoints in spaces of test and generalized functions, with emphasis on normal solvability and Fredholm type properties. It proves criteria for an operator to be a Phi-plus or Phi-operator via composition with a suitab…
A numerical method is presented for solving the steady two-dimensional hydrodynamic stream-function equation for viscous incompressible flow with prescribed boundary conditions. The approach reduces the fourth-order problem to coupled finite-difference equations for the stream function and vorticity…
The paper develops a structural energy approach to metal fracture at elevated temperatures, treating rupture as occurring when the lattice absorbs a limiting specific energy associated with interatomic bond breaking and defect accumulation. Using an analogy between mechanical fracture and melting, i…
The paper studies global boundary value problems for the nonlinear degenerate elliptic equation \(y^m u_{xx}+u_{yy}=k(x,y)e^u\) in a simply connected domain in the upper half-plane whose boundary includes a segment of the degeneracy line. It proves existence and uniqueness for the Dirichlet problem …
This note formulates and outlines proofs of two metric results for bounded harmonic functions of two variables in a disk. The first theorem estimates the size of the set of levels whose level lines in the half disk have large total length, showing that for uniformly bounded harmonic functions the me…
This paper addresses the defect of the self-consistent field equation in statistical mechanics, namely its inclusion of particle self-energy and its limited applicability to homogeneous liquids and gases. Starting from the first Bogolyubov equation for correlation distribution functions, it proposes…
A material point method is proposed for minimizing functionals arising in crystal structural analysis, treating the unknown parameters as coordinates of a point constrained to move on the surface defined by the functional. The paper derives differential equations for this motion under a conditional …
