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 studies expansion in eigenfunctions for a non-self-adjoint Sturm-Liouville boundary-value problem on a finite interval, with a complex potential whose behavior near the right endpoint determines the spectral asymptotics. Using contour integration, Green’s functions, and asymptotic formula…
This paper studies strong convergence of generalized minimizing sequences for constrained extremum problems in Banach spaces, allowing approximating points that need not satisfy the constraints exactly but approach the feasible set. It proves convergence theorems under conditions involving closed co…
This paper develops a quantum theoretical treatment of anisotropic ferromagnetism using a linearization of the Heisenberg equations of motion, extending methods previously applied to isotropic ferromagnets. For a lattice of spins with tensor exchange interaction and an external magnetic field, the m…
This study estimates the absolute age and main developmental stages of the Aral Sea using nonequilibrium uranium isotope ratios. The authors derive and apply age equations based on the activity ratio of uranium 234 to uranium 238, measuring these ratios in waters of the Syr Darya, Amu Darya, and Ara…
This study reports optical absorption spectra of neutral silver atoms stabilized at 77 K in frozen aqueous and alcoholic solutions of silver salts after x-ray irradiation. The authors compare spectra from different matrices, verify the presence of stabilized atoms by paramagnetic resonance and contr…
This paper studies pointwise stabilization as time tends to infinity for solutions of the Cauchy problem for parabolic equations, beginning with higher order constant coefficient equations generated by powers of the Laplacian. Using Wiener’s Tauberian theorem and analysis of the Fourier transforms o…
This note studies optimal control problems for stationary linear parabolic systems with distributed parameters, where the control enters through a third boundary condition and the performance criterion depends on the terminal state, or on the terminal state and its gradient. It formulates existence …
An X-ray structural study was carried out to test the proposed formula of a nickel hydrazinecarbonic compound previously assigned from analytical, conductivity, and chemical data. Using Cu K radiation, electron-density maps, interatomic function projections, and least-squares refinement, the monocli…
This paper examines the crystal structure and symmetry of Canadian niocalite, addressing conflicting earlier assignments of monoclinic and orthorhombic symmetry. Single-crystal X-ray photographs, Patterson projections, minimization functions, and projected electron-density refinement were used to de…
This paper studies covering dimension of remainders of bicompact extensions of proximity and topological spaces, distinguishing it from proximity and inductive dimensions. It introduces prolongable framings, borderings, and structures of rims, and gives necessary and sufficient conditions for a rema…
This note generalizes two results in finite group theory associated with Carter and Wielandt. It introduces auxiliary lemmas on Carter subgroups, the Carter property, Hall subgroups, and abnormal subgroups, and proves that a pi-solvable group has the Carter property when all its pi-prime subgroups h…
This paper examines why optical measurements of detonation fronts in a nitric acid and dichloroethane liquid explosive show specular reflection intensities much lower than those predicted from refractive-index changes by geometrical optics. Using a wave-optical treatment of reflection from a rough m…
This note addresses Minkowski’s conjecture on the critical determinant of the planar domain defined by |x|^p + |y|^p ≤ 1, reducing the question to the minimization of a two-variable function subject to an implicit constraint. It describes a computer-assisted method for testing the conjecture for par…
This study investigates low-temperature recrystallization in 99.98% oxygen-free copper subjected to 90% rolling deformation at 293, 77, and 20 K. Specimens were annealed between 293 and 468 K, and the onset of recrystallization was identified by the appearance of point reflections in back-reflection…
The paper solves the first fundamental boundary value problem of plane elasticity for an angular wedge with a finite cut along its bisector, with prescribed stresses on the cut and stress-free wedge sides. The method maps the wedge to two infinite strips and represents the Muskhelishvili complex pot…
This note studies the location of zeros of entire functions represented as finite Fourier transforms of continuous functions on an interval, with particular attention to whether zeros can have arbitrarily large imaginary parts when the left endpoint value is nonzero. It first shows that bounded vari…
This note studies generalized nonerasing Turing machines that write on a square grid rather than a one-dimensional tape, moving horizontally or vertically at each step. It defines computation of partial recursive operators whose input and output alphabets are constrained by fixed minimal and maximal…
This note studies finite order compact extensions and remainders of completely regular Hausdorff spaces, with particular attention to Čech extensions and the classes of spaces whose nth order remainder is compact. It introduces a partial ordering on equivalence classes of finite order extensions, id…
This paper examines one-dimensional gas motion ahead of a piston moving at constant velocity in a viscous, heat-conducting medium for plane, cylindrical, and spherical geometries. Starting from the unsteady conservation equations with viscosity and thermal conductivity, it introduces dimensionless v…
This paper investigates the drift mobility of heavy ions moving in a constant electric field through a gas of much lighter molecules, assuming dilute ions so that ion, ion collisions are negligible. Using the small width of the ion velocity distribution, the analysis derives relations between drift …
This paper studies factor representations of the canonical anticommutation relations in separable Hilbert spaces, using a measure-theoretic realization based on diagonalizing the commuting number projections. It proves that factor representations require an ergodic quasi-invariant measure, analyzes …
This paper examines the motion of charged particles in an acute-angle magnetic trap with opposing fields, described by a nonlinear system of equations in cylindrical coordinates. It identifies an exact particular solution, beyond the previously noted trivial cases, for trajectories passing through t…
The paper develops an asymptotic method in classical statistical mechanics for electrolyte systems whose particles interact through both Coulomb forces and a short-range repulsive potential. Using Bogolyubov’s distribution-function formalism and variational differentiation of a generating functional…
The paper studies recurrent algorithms that solve infinite, possibly cyclic, systems of inequalities under the assumption that a strictly feasible solution exists, a setting motivated by learning procedures in pattern recognition. It gives a general finite convergence criterion based on a decreasing…
The paper studies the characteristic equation arising in the asymptotic description of radiation transfer in a thick plane layer, formulated as an eigenvalue problem for an integral scattering operator on the unit sphere. Under square integrability, nonnegativity, and normalization assumptions on th…
The paper studies regularization of the supremum and upper limit of families of plurisubharmonic functions that are uniformly bounded above in domains of complex Euclidean space. Extending a theorem of H. Cartan, it proves that the exceptional sets where these functions differ from their upper semic…
This paper examines the fracture of high-strength silicate glass after removal of the defective surface layer by treatment with foamed hydrofluoric acid. Square window-glass specimens were tested in central symmetrical bending, and many wet specimens fractured explosively into fine needle-like fragm…
This paper studies vector Riemann-Hilbert problems on the real line with piecewise continuously differentiable, nonsingular matrix coefficients and data in \(L^p\), \(1<p<\infty\). It develops a factorization method that removes coefficient jumps by holomorphic correcting factors, reduces the proble…
The paper studies approximation of functions in Sobolev, Slobodetskii spaces by piecewise polynomial functions on cube partitions, under the continuity condition alpha p greater than the dimension. It proves sharp order estimates for uniform approximation and for approximation in Lq with respect to …
This paper addresses the interpretation of three-layer frequency electromagnetic sounding curves of types A and H at large electrode spacings. It argues that the transformation procedure previously used for K and Q curves is insufficient when applied directly, because it determines only a conductanc…
This paper examines the high-temperature reaction of graphitized carbon with carbon dioxide above about 2300 K, where gas penetration into the specimen is excluded but changes in the density of the solid are observed. Using spherical carbon specimens, the authors measured radial density profiles aft…
The paper develops a generalization of projection methods for solving operator equations in which trial functions need not satisfy either the differential expression or boundary conditions in advance. It formulates the problem in a Hilbert space direct sum, treating the interior operator and boundar…
This paper develops an analytical approach to inertial deposition of aerosol particles from a gas or liquid flow onto collecting bodies, using a pseudo-liquid description of particle concentration and equations for particle motion with Stokes number dependence. For potential carrier flow and externa…
This paper formulates and proves analogues of Herbrand’s theorem for the classical predicate calculus with equality and functional symbols, using sequent calculi with and without equality. It defines reductions of formulas through functional forms, finite term sets generated from the lexicon of a fo…
The paper studies generalized Appell functions on a fundamental polygon of a closed Riemann surface, replacing constant transition coefficients by functional boundary data for meromorphic solutions of a Vekua-type generalized analytic equation. Using boundary value problem methods, Cauchy-type integ…
The paper examines rotational and electronic energy level splittings in slightly bent triatomic molecules in degenerate \(^{2}\Pi\) states, emphasizing how asymmetric-top effects can resemble or modify Renner and lambda-type doublings. It develops an argument that nuclear angular momentum in a sligh…
The paper studies optimal quadrature formulas for classes of functions on the unit interval whose rth derivative is bounded in an Lq norm, using formulas involving function values and derivatives up to order r minus 2 at fixed numbers of nodes. For even r, it reduces the minimization of the sharp qu…
The absorption spectrum of gaseous sulfur hexafluoride was measured in the ultrasoft X-ray region near the sulfur LII and LIII absorption edges, over 170 to 300 eV, using gas absorption coefficient measurements at controlled pressure and instrumental resolutions down to 0.25 eV. The spectrum shows a…
This paper examines the contribution of Earth’s thermal radiation scattered by atmospheric aerosol layers to infrared night-sky radiance, particularly in the 3.5 to 5.2 micrometer transmission region near the tropopause and lower stratosphere. Nighttime aircraft measurements over the Moscow region a…
The paper extends a previously developed method for obtaining hydrodynamic asymptotics of classical Green’s functions to quantum many-body systems. Starting from the quantum analogue of the Boltzmann equation with Bose or Fermi statistics, it reformulates the problem in terms of Green’s functions an…
The paper derives asymptotic expressions for equilibrium correlation functions of an interacting many-particle system in the hydrodynamic limit of small wave number and frequency. Using a second-quantized Hamiltonian coupled to scalar and transverse vector external fields, the author obtains lineari…
The paper studies time-independent transcendental first integrals of the equations of motion of a heavy rigid body about a fixed point, a problem for which explicit integrals are generally unavailable outside classical special cases. Using a small-parameter transformation and earlier results on peri…
The paper proves that every discrete field can be embedded in a connected topological field. Starting from an arbitrary field, it constructs a rational function field in variables indexed by the unit interval and defines a norm using finite equivalence relations on the interval and associated length…
