RussiaRxiv · Open Access in English
Translated research papers from Russian journals and repositories
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Showing 50 of 15540 papers
Generated abstract This paper studies the elastic-plastic stress distribution in an infinite plane containing a smooth strictly convex hole, where an unknown boundary separates a plastic region near the hole from an elastic region. Using the Kolosov-Muskhelishvili complex potential representation and a conformal mappi…
Generated abstract This paper investigates the photomagnetic effect in anomalous photovoltaic cadmium telluride films, treated as systems containing large numbers of microscopic p-n junctions. The authors compare simplified junction-chain models with measurements made under constant illumination and an alternating mag…
Generated abstract Yttrium aluminate crystals activated with neodymium ions were synthesized from the melt and examined as potential active media for optical quantum generators. Single crystals of good optical quality containing 1.5 and 3 wt.% Nd3+ were identified by X-ray analysis as the YAlO3 phase, and their absorp…
Generated abstract This paper studies spectra of self-adjoint extensions of a closed symmetric semibounded operator with infinite deficiency index, under the assumption that the Friedrichs extension has compact inverse and eigenvalues with a prescribed power asymptotic. It proves that for any slower power growth expon…
Generated abstract This paper proposes a type of chemical laser in which stimulated electronic transitions occur directly during the contact of unexcited reacting gas molecules, so that the radiative transition itself constitutes the elementary chemical reaction. Using order of magnitude estimates for molecular contac…
Generated abstract The paper studies completely irreducible class I representations of connected real semisimple Lie groups with finite center, relative to a maximal compact subgroup. Using the group algebra, the commutative algebra of bi-invariant test functions, and spherical functions, it constructs a family of rep…
Generated abstract This paper develops a framework for random and stationary processes taking values in a topological semifield, using probability distributions defined through measures on the Boolean algebra of idempotents. It introduces notions of stationarity in the broad and narrow senses, establishes their relati…
Generated abstract This paper studies the two-dimensional zeta function of a lattice with a real parameter, seeking lattices of fixed determinant that give local minima for a fixed value of the parameter. Positive binary quadratic forms of determinant one are parametrized in a reduction domain, and the behavior of the…
Generated abstract The paper addresses the ill-posed problem of computing values of an unbounded linear closed operator from approximate input data in Hilbert spaces, where small perturbations may leave the domain or produce unbounded changes in the output. It proposes a stabilizing variational construction that, for …
Generated abstract This study examines infrared and ultraviolet absorption spectra of 82 natural diamond crystals classified as intermediate type, with attention to how spectral features relate to impurity nitrogen concentration and distribution. Infrared spectra in the one phonon region separate the samples into five…
Generated abstract This study examines how a pulsed electric field applied synchronously with a light flash affects latent photographic image formation in silver halide emulsion microcrystals. Experiments used unsupported emulsion layers with controlled crystal size and varied electron trap structures produced by sulf…
Generated abstract The paper develops a multidimensional theory of linear passive systems represented by convolution equations with distributional matrix impedances supported in a causal cone. It characterizes passive operators through the Fourier-Laplace transform as holomorphic matrix functions in a tube domain with…
Generated abstract This paper generalizes Bulgakov’s problem of accumulation of perturbations for nonlinear dynamical systems with bounded initial perturbations and bounded continuously acting perturbations whose derivatives are also constrained. It formulates the maximum deviation from a prescribed trajectory as an e…
Generated abstract The paper studies bounded dissipative operators in a separable Hilbert space whose spectrum is concentrated at zero and whose resolvent is an entire function of exponential type. Using exponential nodes and their characteristic operator functions, it constructs invariant subspaces with prescribed ty…
Generated abstract The paper analyzes nonstationary axisymmetric heat conduction in a two-layer infinite coaxial cylinder with ideal thermal contact and different thermal properties in the two regions. By separation of variables, the problem is reduced to a Bessel-function eigenvalue equation, and approximate formulas…
Generated abstract The paper develops a unified approach to results on dyadic bicompact spaces by introducing cardinal invariants based on monolithic subspaces and a suppression property, combined with the Hewitt, Marczewski, Pondiczery theorem. It defines dense, adherent, and dant spaces, proves their stability under…
Generated abstract This paper studies magnitudes of deviation for meromorphic functions of finite lower order less than one, quantities analogous in some respects to Nevanlinna deficiencies. It establishes conditions under which a sufficiently large positive deviation from one value, for lower order below one half, fo…
Generated abstract This paper examines the little used phenomenon of double reflection in optically anisotropic crystals and proposes its application to polarizers and electro-optic light modulators. Using generalized Cotton-type prisms, the authors give calculation relations for ray splitting under total internal ref…
Generated abstract This note generalizes Sobolev-type projection representations for function spaces on rectangular domains to a finite collection of partial differential operators that factor into ordinary differential operators in separate variables. Under a stated algebraic compatibility condition on the solution s…
Generated abstract The paper examines graphs whose associated invariant matrix algebra is a cell, a class characterized by a regular zero-one basis and uniform counts of vertex sequences with prescribed adjacency patterns. It addresses a previously stated hypothesis that any graph with such a cell algebra must have a …
Generated abstract This paper studies the stable approximation of solutions to ill-posed operator equations when additional a priori information specifies that the unknown function is bounded and monotone. Using Helly’s selection theorem, the authors show that the class of bounded monotone functions is compact in an \…
Generated abstract This paper reformulates Tolman’s problem for pressureless dust matter in a centrally symmetric reference system attached to a stationary central observer, rather than in the usual comoving coordinates. Starting from relativistic hydrodynamic equations, it derives expressions for the velocity, specif…
Generated abstract This paper studies local existence of solutions for a neutral differential equation with deviating argument in which the derivative depends on delayed values of both the unknown function and its derivative. Instead of imposing Lipschitz conditions in all phase variables, the authors assume continuit…
Generated abstract The paper studies bounded solutions of an inhomogeneous diffusion equation on a semi-infinite interval with a zero boundary condition and a source term that switches between constant input and removal according to the value of the solution at a fixed point. Using heat-kernel representations, the pro…
Generated abstract A numerical procedure is presented for kinematic analysis of plane mechanisms, intended to reduce the size of equation systems required for structural groups. The method determines coordinates, velocities, and accelerations by first solving for the parameters of only half of the links in an Assur gr…
Generated abstract The crystal structure of hydrothermally synthesized sodium neodymium germanate, NaNd3[GeO4]2(OH)2, is determined from three-dimensional single-crystal X-ray diffraction data. The compound has a monoclinic centered cell and is described mainly in space group I2/c, with atomic positions obtained from …
Generated abstract This paper experimentally tests predictions of a chain model for scattering of medium energy ions by crystal surfaces, focusing on argon ions incident on the copper (100) face with the [110] atomic chain in the scattering plane. Energy distributions of scattered 30 keV ions were measured at several …
Generated abstract This note studies endomorphisms of the lattice of closed subgroups of a locally compact topological group, especially maps of the form X to X joined with S for a proper closed subgroup S. Using criteria for distributive and dually distributive pairs of closed subgroups, it derives structural restric…
Generated abstract This note studies closed form solvability of singular integral equations on a closed contour with kernels satisfying Hölder type regularity and analytic continuation assumptions. It proves that a singular integral operator with a kernel analytic in both variables and normalized on the diagonal is in…
Generated abstract This paper formulates a continuous theory of scale similarity for nonnegative random fields, motivated by the statistics of turbulent energy dissipation but applicable to analogous quantities such as squared vorticity or squared temperature gradients. Defining subdivision coefficients as ratios of f…
Generated abstract This note treats a mixed boundary value problem in elasticity for an infinite elastic layer twisted by two coaxial circular punches of different radii applied to opposite faces. Using a Hankel integral representation for the single nonzero azimuthal displacement component, the boundary conditions ar…
Generated abstract This paper establishes an analogue of P. Fatou’s boundary theorem for regular quaternion functions in four-dimensional Euclidean space. For a right-regular quaternion function in a star-shaped domain bounded by a Lyapunov hypersurface, satisfying a uniform integral bound on homothetic interior hyper…
Generated abstract This paper studies a characteristic criterion for the motion of a machine unit, interpreted as the relative contribution of inertial forces of initial motion compared with those of steady motion. Using the energy equation for the driving link and assumptions on the reduced moment of the acting force…
Generated abstract The article proposes a general computer based method for predicting disease courses when reliable mechanistic models are unavailable. It represents case histories as sequences of numbered clinical states and stores observed disease variants in a finite directed random graph with statistically estima…
Generated abstract This note introduces d-centered systems and d-ends of a topological space as tools for studying ultrafilters, relaxations, and decomposability. It gives several proofs, without the continuum hypothesis, of the existence of ultrafilters with bases of crowded self-dense sets in every nonempty crowded …
Generated abstract The paper develops expansions of arbitrary functions on two-dimensional and three-dimensional Lobachevsky spaces as superpositions of wave eigenfunctions of the Laplace operator. Using spherical and cylindrical means, it derives inversion formulas for expansions in pseudospherical waves in three dim…
Generated abstract The paper studies self-adjoint extensions of ordinary differential operators of arbitrary order on a finite interval in a Hilbert space of vector-valued functions, with continuous operator coefficients. It introduces Hermitian relations in a Hilbert space and describes their Cayley transform represe…
Generated abstract This paper develops a homotopy method for computing the index of locally trivial families of Fredholm pseudodifferential structures on compact manifolds with boundary, including elliptic differential boundary-value problems. After formulating augmented and framed pseudodifferential homomorphisms in …
Generated abstract This paper reports experiments on low-frequency plasma noise during turbulent current heating in the toroidal device Vikhr-2, focusing on oscillations at and below the ion plasma frequency. Using electric and magnetic probes, millimeter-wave combination scattering, and modulation analysis of the pla…
Generated abstract A general theory is developed for a regenerative EO+ optron with direct electrical and positive optical feedback, removing earlier restrictions on the ampere, lux, and resistance characteristics of its light-emitting diode and photoresistor components. The paper derives conditions for the appearance…
Generated abstract The paper studies when the regularization of elliptic boundary-value problems by potentials is equivalent to the original problem, a question not settled by the construction of regular integral equations alone. For a normally solvable boundary-value problem for a single elliptic equation in an n-dim…
Generated abstract This paper studies positive, or bounded below, solutions of evolutionary hypoelliptic equations, stated primarily for uniformly Petrovskii parabolic equations of arbitrary order with real variable coefficients. Using auxiliary functions, Green’s formulas, interior and boundary estimates, and invaria…
Generated abstract The paper reports an X-ray crystallographic determination of the rare-earth sodium titanosilicate mineral tundrite from the Lovozero massif, addressing uncertainties in its composition and structural formula. Using three-dimensional Patterson, electron-density, weighted synthesis, and difference syn…
Generated abstract This paper studies the computational power of probabilistic Turing machines relative to deterministic machines in problems of enumeration and function computation. It proves that, for sets whose complements are universal in suitable recursion-theoretic senses, probabilistic machines can, with arbitr…
Generated abstract This note studies stability of closed, possibly discontinuous, Phi-minus operators between locally convex spaces under compact and precompact perturbations. It establishes sufficient conditions under which a perturbation of a Phi-minus operator remains Phi-minus, extending earlier results for Fréche…
Generated abstract This paper studies a class of two-player differential games in which one player observes the opponent’s phase coordinates only after a fixed delay. It formulates the guaranteed payoff for the delayed-information player and derives a first-order Hamilton-Jacobi type equation with terminal conditions …
Generated abstract This paper investigates x-ray excited luminescence of trivalent rare earth ions in yttrium aluminum garnet crystals grown by the Czochralski method, contrasting this excitation with conventional optical pumping of rare earth absorption bands. Steady x-ray excitation produced intense luminescence fro…
Generated abstract This note studies Sobolev type problems for pseudodifferential equations when boundary conditions are imposed on a submanifold that is not the boundary of the ambient manifold and has multidimensional singularities. The argument localizes the problem near the singular submanifold, applies a Fourier …
Generated abstract The paper studies uniform structures of borderings on completely regular spaces, a concept related to Smirnov’s characterization of compact extensions with controlled remainder dimension. It defines such structures by axioms analogous to uniform structures of open covers, proves that the subfamily o…
Generated abstract This paper studies nonlinear problems in antenna synthesis, focusing on determining a current distribution from a prescribed bearing characteristic satisfying a nonlinear integral equation involving shifted squared Fourier transforms. It proves uniqueness of the solution in the class of square integ…
