SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25456 full-text translations 14926 English PDFs 22540 abstracts
Showing 50 of 25456 papers
This paper studies boundary-value problems for a broad class of singular integral and integro-differential equations in a bounded smooth domain, including elliptic differential equations as special cases. Using factorization of the homogeneous symbol at the boundary and Wiener-Hopf analysis in a hal…
This paper develops a theoretical description of polarization curves for smooth electrodes partially immersed in an electrolyte, motivated by their relevance to gas porous electrode processes. Considering hydrogen diffusion through an electrolyte film followed by electrochemical discharge, the autho…
The study examines the radiolysis of aerated and oxygenated aqueous ferrous sulfate solutions in sulfuric acid under decimicrosecond electron pulses, with attention to how high absorbed dose rates affect ferric ion formation and oxygen consumption. Electron pulses of about 6 · 10^-7 s were generated…
This study examines the radiation-induced polymerization of trimeric cyclic dimethylphosphinoborine, motivated by the expected stability of polycyclic phosphinoborine structures and analogies with borazole polymerization. The monomer was irradiated with 800 kV electrons in sealed evacuated ampoules …
The paper studies the existence and behavior of similar tests for the Behrens-Fisher problem with two independent normal samples and unknown means and variances, focusing on homogeneous nonrandomized tests depending on the sufficient statistics through the variables formed from the sample mean diffe…
This note studies the spectral properties of regular quasi-differential operators in L2(a,b), generally non-self-adjoint, defined by a self-adjoint quasi-differential expression and linearly independent boundary conditions. It introduces a normalized Wronskian determinant formed from solutions satis…
The paper reports experimental observations of annular waves forming on the free surface of a thin liquid film rotating along the inner wall of a cylindrical tube under the action of a swirling air flow. It describes the apparatus and the conditions under which an initially smooth film develops regu…
This paper examines hydrazinolysis as a chemical method for investigating insoluble and infusible nitrogen-containing polymers with conjugated bonds, particularly systems in which infrared spectroscopy cannot distinguish the relative roles of C=C and C=N bonds. The authors treat polyazines, poly-Sch…
This paper examines how solution pH affects hydrogen chemisorption at the rhodium solution interface, using charge curves for compact rhodium and previously obtained data for rhodium black in sulfuric acid solutions at constant sulfate concentration. By superposing charge curves and analyzing potent…
The paper studies scattering theory for quantum mechanical systems with a variable number of particles in the Fock space of second quantization, for both Bose and Fermi commutation relations. It considers self-adjoint Hamiltonians consisting of the free kinetic energy and finite sums of creation and…
This study examines whether proton dissociation in divalent platinum complexes containing coordinated hydroxylamine occurs from the amido group or the hydroxo group. Cis and trans isomers of diamminobis(alpha-methylhydroxylamine)platinum(II) chloride were synthesized and characterized by elemental a…
This paper studies groups formed by one-to-one mappings of the set of words over a finite alphabet that are induced by finite automata. It characterizes such automatic mappings as length-preserving permutations compatible with initial segments, shows that the full set of automatic bijections is a su…
The paper studies the asymptotic behavior of a discrete dynamic programming problem with a continuous convex state space, continuous transition income, and terminal payoff. It proves that the optimal value grows linearly up to a bounded error, identifies the growth rate with the supremum of average …
This study examines how hydrogen-bonded complexes influence the deactivation of excited electronic states and radical formation in molecules containing carbonyl or nitrogen chromophoric groups. Luminescence, infrared, and EPR spectra were measured for anthraquinone, acridone, aromatic amine derivati…
This paper develops a variational formulation for the flow of a thin plastic layer confined between approaching elastic bodies, where the pressure, layer thickness, and elastic displacements are coupled through a nonlinear system. It shows that the governing pressure equation is equivalent to an ext…
The paper develops a theory of singular elliptic equations and systems whose symbols have variable order on closed manifolds and bounded domains with smooth boundary. It introduces Sobolev-type spaces of variable smoothness, proves compact embedding properties, and establishes Fredholm, or Phi-opera…
The paper studies how the nil-element spaces and core spaces associated with the closed operator pencil A minus lambda I in a Banach space vary with the complex parameter lambda on the Fredholm-type set where the range is closed and one of the nullity or defect numbers is finite. Using analytic repr…
The paper extends Nevanlinna’s parametric representation theorem for meromorphic functions of bounded characteristic in the unit disk to a one-parameter family of broader classes. Using Riemann-Liouville fractional integrals and derivatives, it defines an alpha-characteristic for meromorphic functio…
This paper studies solvability and uniqueness for hypoelliptic equations in the whole space, focusing on how radiation-type conditions at infinity select fundamental solutions. It introduces integral-form conditions equivalent to previously used pointwise asymptotic conditions, proves a limiting abs…
This paper reports the targeted synthesis and X-ray characterization of new lead-containing perovskites of complex composition, selected using crystal-chemical constraints, electroneutrality, and a tolerance factor near unity. Ceramic samples containing two or three different B-site ions were fired …
This paper studies the one-dimensional Schrödinger equation with a real periodic potential under a real nonperiodic perturbation that decays sufficiently fast at infinity. It addresses when such a perturbation can introduce only finitely many discrete eigenvalues into each gap of the continuous spec…
Molybdenum sesquisulfide, Mo2S3, was synthesized from high purity molybdenum powder and sulfur in evacuated quartz ampoules by staged heating to 500, 900, and 1400°C, and its physical and crystallographic properties were examined. The product was a lead-gray metallic crystalline aggregate with elong…
The paper proposes a general scheme for macroscopic descriptions of kinetic processes when slow variables, including nonequilibrium relaxing quantities such as heat flux or viscous stresses, are treated as independent. Starting from a phase-space cell representation and an intermediate mixing assump…
This paper studies stationary resonance regimes in one degree of freedom oscillatory systems with slowly varying parameters and a small nonlinear perturbation that is periodic in time. Using variables defined by the extrema and phase of the unperturbed motion, the authors derive averaged equations n…
This study examines the synthesis of polyesters containing conjugated triple bonds by joint oxidative dehydropolycondensation of propargyl and dipropargyl esters with p-diethynylbenzene. The authors selected aromatic, bisphenol, fluorinated bisphenol, benzoate, phenoxy, and quinizarin derivatives to…
This paper studies the spectral structure of multidimensional Coulomb differential operators describing atoms and ions with a fixed nucleus, with particular attention to how permutation symmetry affects discrete and limiting spectra. Using irreducible representations of the symmetric group and varia…
The paper proposes a variational reformulation of general relativity motivated by dimensional transformation arguments, claiming that the standard Einstein equations with constant gravitational coupling do not transform consistently under changes of distance and therefore are inadequate for the meta…
This paper examines the mechanism of reactions between esters of trivalent phosphorus acids and alkyl halides of silicon and tin, reactions known to yield products containing P-O-Si or P-O-Sn bonds rather than the usual Arbuzov products. Using ethyl diethylphosphinite with trialkylchlorosilanes and …
This paper examines the mechanism of diene polymerization initiated by complex cobalt catalysts, addressing conflicting interpretations obtained from deactivation of growing chains with isotopically labeled alcohols. The authors compare cobalt systems with reference anionic, cationic, and coordinati…
This paper examines how the maximum possible earthquake energy in a seismic region may be estimated indirectly from seismic activity, since direct observations of the strongest events are too rare for reliable mapping. It proposes a correlation method that relates the observed maximum energy class t…
This paper examines the preparation of semisymmetric tris-amides of boric acid by transamination of tris(dimethylamino)boron and tris(diethylamino)boron with aliphatic and aromatic amines. The authors argue that the greater reactivity of the dimethylamino derivative limits its use with lower aliphat…
This paper examines whether the exothermic radical halogenation of hydrochlorosilanes can be coupled with the otherwise difficult arylation of silicon hydrides by aromatic compounds. Experiments using light-initiated chlorination of mixtures of trichlorosilane or related silicon hydrides with benzen…
This paper reports the synthesis and characterization of mixed bimetallic derivatives of chromium, molybdenum, and tungsten carbonyls containing tin or lead substituents. Sodium salts of tricarbonyl pi-cyclopentadienyl metal carbonyls were reacted with triphenyltin, triphenyllead, or diphenyltin chl…
This paper examines the reaction mechanism of methane conversion with steam to produce synthesis gas, focusing on limitations in earlier schemes that combined methane thermal decomposition with subsequent reactions of its products. Using literature thermochemical data, bond dissociation energies, an…
This note studies the determination of principal indices of Laurent series convergent in an annulus, extending earlier criteria known for polynomials and related sufficient conditions. The authors introduce transformed Laurent series formed from products over roots of unity and define coefficient ra…
The study examines the thermodynamic properties and phase behavior of gallium tellurides in the gallium tellurium system, with particular attention to Ga2Te3, GaTe, and the proposed tellurium-rich GaTe3 phase. Concentration electrochemical cells with liquid gallium and solid gallium tellurium alloys…
This study examines the autohesion of two polyethylenes with different degrees of branching and molecular order under pressures up to 6000 kg/cm2 and temperatures up to 240 C. Paired specimens were pressed, cooled, and torn apart perpendicular to the contact surface, with tear-off stress used as a m…
This paper develops a theory of singular integral equations on an infinite multidimensional cylinder, modeled as a strip with periodic variables and unbounded Euclidean variables. It introduces an appropriate Fourier transform, constructs periodic singular kernels in the Calderón and Zygmund setting…
This study examines the decomposition kinetics of peroxide compounds formed in aqueous DNA solutions after X-ray irradiation, with attention to their possible role in radiation aftereffects. Using spectrophotometric determination of hydroperoxides at different temperatures, the authors show that dec…
This study examines the promotion of skeleton nickel catalysts by molybdenum introduced into Ni-Al alloys for liquid-phase hydrogenation of o-nitrophenol, potassium maleate, and allyl alcohol. Reaction rates and catalyst potentials were measured simultaneously after alkaline leaching of alloys with …
This paper examines how particle collisions affect drift instability in an inhomogeneous low-pressure plasma when the ion Larmor radius is finite. It proposes using a Bhatnagar, Gross, and Krook model collision term to extend the method of integration along trajectories to collisional plasma oscilla…
This note studies asymptotic equivalence between solutions of an almost linear system x' = Ax + F(t,x) and its associated linear system y' = Ay, where the perturbation satisfies a Lipschitz bound with time-dependent coefficient g(t). It introduces a notion of deviation between solution vectors and s…
This paper studies a two-layer thermoconvective boundary value problem motivated by heat propagation in a reservoir under thermal injection, with vertical heat conduction in both layers and horizontal convection in one layer. After a change of variables, the problem is formulated through Green funct…
This paper studies inverse spectra and classes of Hausdorff spaces characterized by mappings subordinate to open covers, especially omega-mappings and weak omega-mappings. It proves dimension-preserving factorization and spectral representation results, showing, for example, that normal finite-dimen…
This paper examines the evolution of the size spectrum of rain drops in an ascending air current when both coagulation and condensational growth are considered. Assuming a collision probability proportional to the sum of the colliding drop volumes, the kinetic coagulation equation is transformed by …
This paper examines how drift wave instabilities in an inhomogeneous plasma confined by a strong magnetic field can produce anomalous cross-field diffusion. The authors distinguish low and higher beta regimes, use linear stability results for drift waves, and apply a quasilinear kinetic treatment to…
The paper develops an approximate method for solving a class of linear singular integral equations arising in dispersion-relation problems, in particular equations of Chew-Low type for pion-nucleon processes. It first establishes a sufficient smallness condition under which successive approximations…
