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 note studies the completeness of perturbation theory scattering amplitudes, viewed as holomorphic functions of the cosine of the scattering angle in Lehmann ellipses, within a Hilbert space of square integrable functions and within a space of amplitudes. For nonrelativistic Yukawa scattering an…
This note studies existence conditions for generalized smoothing and extrapolation problems for random functions and random vector functions when the quality criterion is more general than the usual variance of the error. It formulates the approximation problem in Hilbert spaces generated by covaria…
The problem of the minimax time $T$ until encounter with respect to a subset of selected coordinates is considered for two linear controllable objects described by identical equations: \begin{gather}\dot{y}=Ay+Bu\quad\dot{z}=Az+Bv,\notag\\y_{i_k}(\tau+T^0)=z_{i_k}(\tau+T^0),\quad T^0=\min_u\max_vT_{…
This paper studies irreducible representations of the projective group of unit quaternions over a nonconnected locally compact nondiscrete field of characteristic not equal to 2, under the stated exclusion of the 2-adic subfield. Using a filtration of the compact quaternion group by normal subgroups…
The paper interprets observations of waves at a near-critical liquid vapor interface as gravity waves and examines how critical behavior modifies their propagation. Using linearized hydrodynamics, it derives dispersion relations for gravity waves on the surface of a compressible liquid and at the in…
This paper investigates how the probability of deactivation of the first vibrational level of iodine molecules depends on the ratio of collision time to vibrational period, particularly in the poorly studied region where this ratio is near or below unity. Vibrational relaxation times were measured b…
This paper derives estimates for the difference between the matricants, or fundamental matrix solutions, of two linear homogeneous systems of ordinary differential equations with continuous matrix coefficients. It introduces elementwise matrix majorants and a submultiplicative norm, then proves an e…
This paper studies zeta functions associated with positive definite ternary quadratic forms, focusing on whether the form corresponding to the densest sphere packing in three-dimensional Euclidean space is locally extremal. The author analyzes small determinant-preserving variations of the form, dec…
The paper formulates a variational principle for dynamics in the linear theory of elasticity that is equivalent to the mixed initial boundary value problem, rather than only to a boundary value formulation. It constructs a functional involving displacement, stress, and strain fields together with ti…
The paper studies continuous linear forms on a locally convex inductive limit formed from spaces of real-valued functions with the topology of pointwise convergence, associated with a projective system of sets. It constructs the canonical map from this inductive limit to the function space on the pr…
The paper considers identification and stability margin estimation for stochastic single-input, single-output objects subject to random disturbances and random parameter variations. It proposes using an adjustable feedback circuit to bring the closed system to a controlled self-oscillatory regime, s…
The paper develops a local theory of relaxation processes for solving nonlinear equations with potential operators in a real Hilbert space, under assumptions of local differentiability and positive bounded second variation of the associated functional. It introduces relaxation multipliers and angles…
This record concerns V. I. Ulomov, A. I. Zakharova, and N. V. Ulomova’s study of the Tashkent earthquake of April 26, 1966, and its repeated shocks. The available text identifies the topic and publication context but does not provide the article’s analytical details, methods, observations, or conclu…
This paper reports electron paramagnetic resonance studies of vanadium and chromium ions isomorphously introduced into calcium fluoride crystals grown from fluorine-saturated melts. The spectra identify two vanadium centers: an isotropic center assigned to V3+ and an axially symmetric center assigne…
This paper formulates a resource allocation problem for network planning with discrete time, multiple target events, directive completion dates, noninterchangeable and nonstorable resources, and noninterruptible activities. It shows that the direct schedule formulation leads to an integer nonconvex …
The Lauricella method is applied to reduce the boundary value problem of the equilibrium of a part of a cylindrical shell, bounded by a simply connected smooth contour, to integral equations. The components of the displacement vector and the rotation angles of the shell normal are specified on the c…
This paper studies covering and compactness properties of symmetrizable spaces using Arhangel’skii’s notion of weakly discrete systems. It proves that every open cover of a symmetrizable space contains a sigma-weakly discrete refinement, and uses this to show that finally compact symmetrizable space…
The paper determines the crystal structure of a synthetic sodium zinc diorthosilicate phase, Na2Zn2Si2O7, obtained by hydrothermal synthesis in the Na2O, ZnO, SiO2 system and characterized by luminescent properties. Using Weissenberg X-ray intensity data, Patterson analysis, electron-density synthes…
This paper develops a generalized stabilization method for numerical solution of boundary value problems for nonlinear second order ordinary differential equations with homogeneous endpoint conditions. The method introduces a continuous parameter and replaces the original nonlinear problem by an evo…
This note studies pairs of polynomial statistics of a repeated standard normal sample and the problem of when their independence, or the related decorrelation moment conditions, forces them to split after an orthogonal transformation into functions of disjoint coordinate sets. Using algebraic geomet…
This note studies a class of linear differential games in a Euclidean space with terminal manifold a subspace, where pursuit and evasion controls enter additively in a linear system. Under convexity and domination assumptions on the projected control images after the linear flow, the paper formulate…
The article is a continuation of the author's work [1] and is devoted to the derivation of two types of asymptotic expansions for Macdonald integrals $n$ of order $M_n(x,y)$. Two expansions of the first type are asymptotic as $|y|\sqrt{1+x^2}\to\infty$. The first expansion is an expansion in terms o…
This paper studies factor representations of the Clifford algebra with infinitely many generators, focusing on representations whose generated von Neumann algebra is a type II1 factor. It proves that all such type II1 factor representations are algebraically isomorphic, then gives a unitary classifi…
This review evaluates E. A. Barbashin’s monograph Introduction to the Theory of Stability, emphasizing its treatment of modern problems in the stability of motion and its relevance for applied mathematics, mechanics, physics, and engineering. The reviewers describe the book’s three-part structure: n…
The paper studies representations of cubic orders over the integers and over p-adic integers, using the correspondence between cubic rings and classes of binary cubic forms. It proves that a cubic ring has only finitely many nonisomorphic indecomposable representations precisely when the smaller inv…
This paper studies the decidability of systems of equations in words with three unknowns, reducing the general problem to one-sided equations and then to the analysis of finite and nonfinite images under specified transformations. It introduces chains of nonfinite images and proves that, for three u…
This paper studies coercivity and well-posedness for the abstract Cauchy problem for parabolic equations in a Banach space, extending earlier results from Hölder-type settings to newly defined spaces of means. It introduces integral analogues of abstract Hölder and Sobolev-Slobodetskii spaces, toget…
The paper presents a comparison of the errors of Störmer's method in the case of a single differential equation and Adams' method in the case of the corresponding system of first-order differential equations. The arguments are conducted within the framework of linearized error theory. The considerat…
This paper studies uniqueness and nonuniqueness classes for the Cauchy problem for linear evolution equations whose lower order coefficients may grow rapidly at spatial infinity. Under integrability and subordination assumptions on the coefficients, it gives growth conditions on solutions and their …
This paper examines whether thermally induced deformation, usually a source of increased resonator loss in solid-state optical quantum generators, can instead be used to raise the Q-factor of a neodymium-glass laser resonator. The authors measure threshold pumping, generation power, and diffraction …
The paper determines the crystal structure of vinogradovite, a monoclinic sodium titanium silicate mineral from alkaline pegmatites, using three-dimensional X-ray diffraction data and Patterson, minimization, and superposition methods in space group A2/a. The analysis revises the ideal formula to Na…
The paper studies the boundary value problem for the nonlinear system governing strong bending of a thin clamped elastic plate, with unknown in-plane displacements and transverse deflection. It proves existence of a generalized solution for loads in the negative Sobolev space \(W_2^{-2}\), using Gal…
This paper studies anisotropic Sobolev type classes on smooth domains in which nonmixed derivatives of different orders are summable with powers of the distance to the boundary as weights. It generalizes a theorem on the summability of mixed derivatives from the whole space to weighted spaces on a c…
This paper studies relative controllability and time-optimal control for linear dynamical systems with delayed state terms under bounded scalar controls. It introduces a determining equation whose rank conditions characterize relative controllability for stationary systems, gives criteria for the ex…
This note establishes several sum theorems for the large inductive dimension Ind in normal Hausdorff spaces, weakening earlier hereditary normality assumptions by imposing conditions on intersections or on normally situated closed subsets. It proves that a normal space that is the union of closed su…
The paper studies continuous mappings of closed n-dimensional manifolds onto closed n-dimensional manifolds when the mapping degree has absolute value greater than one, focusing on points whose full inverse image consists of a single point. It proves that the set of such points is homeomorphic to it…
This paper reexamines the interpretation of hydromagnetic whistlers, or geomagnetic “pearls,” in light of helium ions in the exosphere. Using the refractive index for left-hand polarized waves in a proton, helium plasma and estimating transmission through gyroresonant opacity regions, it argues that…
The paper extends Engel’s theorem from Lie algebras to binary Lie algebras under Zorn’s formulation. It proves that if a binary Lie algebra satisfies the Engel condition, meaning every right multiplication operator is nilpotent, and also satisfies the maximality condition for subalgebras, then the a…
This paper studies continuous convex and linear programming problems arising in continuous time economic models. It formulates a continuous convex programming problem with time-dependent convex cone technologies and proves, under boundedness and feasibility assumptions, existence of an optimal contr…
The paper studies Lebesgue-Orlicz points for functions in Banach symmetric spaces on the unit interval and their role in convergence of singular integral representations. It introduces a pointwise definition based on the norm of localized oscillations and relates the size of the set of such points t…
This paper examines the propagation and self-focusing of axially symmetric wave beams in weakly nonlinear media, starting from the paraxial nonlinear wave equation with a field-dependent dielectric permittivity. By expanding the logarithm of the field amplitude in powers of the transverse radius, th…
This paper investigates the acoustoelectric effect in CdSe under conditions where an electron drift stream continuously amplifies an ultrasonic wave. A theoretical expression is derived for the acoustoelectric current and open-circuit emf in a piezosemiconductor using the longitudinal dielectric per…
