RussiaRxiv · Open Access in English
Translated research papers from Russian journals and repositories
15540 translated records Original PDFs retained
Showing 50 of 15540 papers
Generated abstract This paper studies continuous and homeomorphic mappings whose associated Sobolev-type integral functionals are uniformly bounded below by weighted powers of the derivative norm. It introduces a metric determined by the weight function and proves a fundamental integral inequality relating the metric …
Generated abstract The paper studies the Dirichlet problem for parameter-dependent pseudodifferential equations in a smooth bounded domain, under homogeneity, ellipticity with parameter, smoothness, and boundary factorization assumptions on the symbol. It extends the Agranovich and Vishik solvability theory from ellip…
Generated abstract The paper studies regularizing algorithms for ill-posed linear operator equations in Hilbert spaces when both the right-hand side and the operator may be subject to random perturbations. It considers pointwise regularization operators acting on random variables in Bochner spaces and shows that a bro…
Generated abstract This paper studies a priori estimates and hypoellipticity for second order differential operators with nonnegative characteristic form, extending Hörmander type results to operators with multiple characteristics. It introduces a rank condition defined through iterated commutators of associated diffe…
Generated abstract This paper analyzes contraction of a cylindrical gas discharge in the volume regime, where electron diffusion to the walls is neglected relative to ionization and recombination. Using coupled energy balance equations for electrons and neutral gas, a Saha relation for electron density, and specified …
Generated abstract This paper proves a transfer theorem for sums of a random number of independent, identically distributed random variables in a triangular array. Under convergence of a fixed-index sum, convergence of the normalized counting variable, and proportional growth of the normalizing constants, the limiting…
Generated abstract The paper addresses the time dependence of the macroscopic magnetic moment of a paramagnet in a prescribed time-dependent magnetic field. Using Robertson’s projection-operator scheme for nonequilibrium statistical mechanics, the authors formulate exact integro-differential equations for magnetizatio…
Generated abstract The paper studies the possible arrangements of ovals of nonsingular real plane curves of degree six, especially those with nine to eleven ovals, in relation to earlier constructions of Harnack and Hilbert and restrictions from Petrovskii’s theorem. It states a corrected classification claim: types b…
Generated abstract This paper develops a numerical method for linearized baroclinic ocean circulation problems in a cylindrical basin of constant depth, using orthogonal vertical expansions to reduce the governing equations to two-dimensional modal problems. A time-discrete formulation leads, after elimination of velo…
Generated abstract This note generalizes the Weierstrass, Dedekind theorem on finite-dimensional algebras without nilpotent elements over an algebraically closed field. It proves that associativity and commutativity may be replaced by the weaker zero-associativity condition \(x(yz)=0\) if and only if \((xy)z=0\), toge…
Generated abstract The paper studies integral equations of potential type on closed Jordan curves of bounded rotation without return points, considered in the spaces \(L_p\) for \(1<p<\infty\). Following earlier work on weighted \(L_1\) spaces, it reduces the local behavior near corner points to convolution-type opera…
Generated abstract This paper reports measurements of Earth and atmospheric thermal radio emission from the Kosmos-243 satellite at wavelengths of 8.5, 3.4, 1.35, and 0.8 cm, aimed at developing microwave methods for geophysical remote sensing. Using radiometric brightness temperatures and atmospheric absorption relat…
Generated abstract This paper addresses the integration of a twelfth order elliptic system arising in Vekua’s refined theory of elastic equilibrium of plates, in which transverse fiber elongation is retained rather than suppressed as in the Kirchhoff Love approximation. Building on the known homogeneous solution, it d…
Generated abstract This note derives a representation for the Laplace transform of exp(−t2) erf(at) over the positive half-line, under stated conditions on the complex parameters a and p. The proof identifies the transform as the solution of a first-order differential equation with a vanishing condition at infinity, y…
Generated abstract This paper studies a class of convolution integral equations on a finite interval that arise in elasticity theory and mathematical physics, focusing on kernels whose Fourier transforms are even, nonvanishing analytic functions in a strip-like domain and have prescribed algebraic behavior at infinity…
Generated abstract The paper develops a model for elastic-plastic media under variable cyclic loading in which material response depends not only on the number of loadings but also on stress amplitude through an accumulated damage function. Within both deformation theory and a simple flow theory, the author introduces…
Generated abstract This paper examines whether the 14 month oscillation of mean sea level known as the pole tide is a real oceanic phenomenon rather than an artifact of weak spectral or harmonic signals near the noise level. It derives the expected tide from the variation of the centrifugal-force potential associated …
Generated abstract This paper examines how radiation affects the motion of high-energy electrons in accelerators and clarifies the relation between classical radiation reaction and quantum descriptions of photon emission. Using a quasiclassical quantum-electrodynamic treatment of magnetic bremsstrahlung, the authors d…
Generated abstract This paper studies maximal irreducible primitive solvable subgroups of general linear groups over an arbitrary field through an invariant series involving the maximal abelian normal subgroup and its centralizer. It proves that the subgroup A in this series is uniquely determined by the group, and de…
Generated abstract This paper studies an inverse problem for the telegraph equation \(u_{xy}=a(x,y)u\) in a rectangle, where the unknown continuous coefficient is to be recovered from characteristic data and an additional boundary trace depending on a parameter. The solution is represented through a Volterra integral …
Generated abstract This paper reports low-temperature measurements of electroluminescence and current-voltage behavior in beta silicon carbide light-emitting diodes fabricated from phosphorus-doped cubic SiC with fused platinum and boron contacts. At 77 K, the diodes show pronounced brightness hysteresis, with two obs…
Generated abstract This paper establishes direct and inverse theorems for best uniform approximation of continuous functions on a finite interval by algebraic polynomials, using a modulus defined through averaging associated with the Legendre operator. Unlike earlier inverse results that yielded smoothness information…
Generated abstract This paper derives a macroscopic transport equation for a passive admixture carried by filtration flow through a porous medium with statistically distributed pore radii and pore-channel orientations. Starting from an elementary balance equation for admixture motion in individual cylindrical channels…
Generated abstract The paper develops a theory of strongly continuous semigroups of bounded linear operators on a Banach space that may have a summable singularity at zero. It defines the class L, studies the infinitesimal operator and generator, and proves criteria for when the Laplace transform of the semigroup is t…
Generated abstract The paper studies generalized Schauder systems in the space of continuous functions, obtained by replacing the linear tent function with a continuous function \(\varphi\) on the unit interval. It gives sufficient conditions, including monotonicity, interpolation at dyadic points, and a bound on seco…
Generated abstract The paper constructs an explicit Behnke-Stein kernel, an analogue of the Cauchy kernel, on the torus represented as the Riemann surface of the algebraic function w squared equals (1 minus z squared)(1 minus k squared z squared). Using this kernel and a discontinuous normalized variant, it derives So…
Generated abstract This paper develops a method for proving a central limit theorem for Y-flows on three-dimensional compact manifolds, avoiding the homogeneous-space techniques previously used for geodesic flows of constant negative curvature. The argument represents such flows as special flows over Y-diffeomorphisms…
Generated abstract This paper studies when the resolvent of a densely defined unbounded linear operator in an \(L_2\) space is an integral operator of Carleman type. It proves necessary and sufficient criteria in terms of local essential boundedness properties of functions in the operator domain, including formulation…
Generated abstract This note studies numerical integration for systems of nonlinear oscillation type \(du/d\lambda=\varepsilon H(\lambda,u)\) on long intervals of length \(O(1/\varepsilon)\), where standard Taylor methods require prohibitively many small steps. The authors propose an expansion based on transformations…
Generated abstract A dynamic theory is developed for a regenerative optocoupler using a photoresistor as the light receiver, treating the photoresistor generation and recombination kinetics as the dominant source of inertia while retaining the stationary descriptions of the remaining circuit and optical elements. The …
Generated abstract This paper studies the convergence of Rayleigh-type piecewise-linear approximation methods for hydrodynamic stability problems. For plane-parallel flow of an ideal fluid, the Rayleigh eigenvalue problem is reformulated in Hilbert-space terms, allowing approximate operators associated with polygonal …
Generated abstract This paper addresses diffuse x-ray scattering with satellite maxima in aging Fe, Ni, Ti alloys, where existing one-dimensional modulation models do not adequately reproduce observed isodiffuse patterns. The authors propose and calculate a model of an equiaxed complex in which interplanar spacings ar…
Generated abstract This paper examines a simplified nonstationary hydromechanical model intended to assess whether direct solutions of viscous flow equations can reproduce features associated with turbulence. The authors formulate the boundary-layer problem for a plane viscous jet with periodically varying momentum, e…
Generated abstract This paper studies a special class of integer linear programming problems defined by binary equality constraints and bounds between zero and one. It proves that the set of integer vertices of the corresponding polyhedron is complete, using lemmas relating complementary integer solutions to total uni…
Generated abstract The work addresses conflicting reports on whether the luminescence quantum yield of neodymium glass depends on excitation wavelength, a question relevant to evaluating laser glass materials. Quantum yields were measured for KGSS-3 and KGSS-7 glasses by comparing absorbed and emitted photon numbers f…
Generated abstract This paper proposes a general mathematical scheme, called an aggregate, for describing complex systems composed of elements that may not fit standard models such as Boolean functions, finite automata, differential equations, or queueing systems. The authors define aggregates through measurable space…
Generated abstract This paper examines how hydrostatic compression affects the symmetry of the luminescence center in polycrystalline europium benzoylacetonate, using the splitting of the europium ion transition from the 5D0 to 7F1 level as a diagnostic of the local crystal field. The authors compare the pressure evol…
Generated abstract This paper examines the instability of a plane interface between two liquids with different electric or magnetic properties in a constant field directed parallel to gravity. Using the stress balance at the interface, Laplace’s equation for the field perturbation, and an expansion in the amplitude of…
Generated abstract The paper studies perfect irreducible continuous mappings of locally bicompact and completely regular spaces, using proximity structures to construct a bicompact extension denoted d_XY and to analyze its functorial properties. It proves that irreducible mappings between bicompact spaces can be repre…
Generated abstract This study investigates shear wave velocity sections of the upper mantle beneath Europe using a trial and error search constrained by observed S wave travel times, Love wave group velocities, and S wave amplitude curves. Layered spherical Earth models were parameterized by velocities and boundary de…
Generated abstract This paper studies minimization of quadratic functionals of the form \(\|Af-g\|^2\), where a linear operator maps a Banach space into a Hilbert space, with motivation from optimal control problems. It reduces sums of squared residuals involving several operators to this general form and uses project…
Generated abstract This paper studies the computation of normalized equilibrium points in concave n-person games on a bounded convex feasible set defined by concave constraints, under a strict monotonicity condition on the vector of partial payoff gradients. It presents two algorithms: one reformulates the problem as …
Generated abstract This paper develops an approximate Green’s function method for analyzing ferromagnetic resonance in a system of interacting magnetic moments subject to constant and high-frequency magnetic fields, including exchange, anisotropic exchange, and demagnetizing interactions. It first gives the exact zero…
Generated abstract The paper develops a topological invariant, called the rotation of a multivalued vector field, for completely continuous multivalued mappings with convex values. In finite-dimensional spaces, the rotation is defined through sufficiently fine single-valued simplicial approximations, equivalently thro…
Generated abstract This note studies a boundary value problem for a multidimensional equation of mixed type in a bounded domain divided by a degeneracy plane, with an elliptic-parabolic operator on one side and a hyperbolic operator with parabolic degeneration on the other. Using adjoint formulations, weighted integra…
Generated abstract This note studies the distribution, not only the mean, of the number of intersections between a plane curve and a random straight line meeting a containing convex domain, extending the setting of Crofton’s theorem. The author applies invariant imbedding by first treating polygonal curves through a l…
Generated abstract The paper reports an X-ray crystallographic determination of the structure of stephanite, Ag5SbS4, a complex silver antimony sulfide previously assigned to a chain type before structural data were available. Single-crystal diffraction data from a rare untwinned fragment were used to establish an ort…
Generated abstract This paper proves an extension theorem for consistent sequences of sublinear functionals defined on a second category vector subspace of a Fréchet space. Using Baire category arguments, the author first derives continuity estimates for the functionals, then constructs continuous sublinear extensions…
Generated abstract This paper examines the origin of electric fields associated with geomagnetic disturbances in the Earth’s magnetosphere, focusing on asymmetric hot plasma rings in the radiation-belt region and their coupling to ionospheric currents. Using a linearized drift and quasineutrality model with conducting…
Generated abstract The paper presents a procedure for applying Newton’s method to compute an isolated eigenvalue of a parameter-dependent square matrix without explicitly expanding its determinant. Using orthogonal transformations, the matrix at a fixed parameter value is reduced to a triangular form whose final diago…
