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 examines the quantum description of unstable elementary particles in terms of their energy, or mass, distribution and its relation to the observable decay law. Using the Fock-Krylov framework and dispersion relations for the decay amplitude, it analyzes the inverse problem of reconstructi…
This paper addresses the synthesis of organoelement polymers with regular spatial structures, a problem arising from the generally irregular branching and cross-linking produced by conventional polymerization of polyfunctional monomers. It proposes and demonstrates a route based on polyfunctional si…
This paper studies eigenfunction problems for a second order linear self-adjoint elliptic operator whose coefficients are discontinuous across an interior surface, with continuity of the function and conormal derivative imposed at the interface. Under regularity, ellipticity, and nonnegativity assum…
This paper investigates the nonuniform dissolution behavior of uranium protoxide oxide in sulfuric, perchloric, hydrochloric, and acetic acids under controlled conditions. By analyzing the ratios of tetravalent and hexavalent uranium in both solution and undissolved residues during dissolution, the …
This study examines radical rearrangements during reactions of thiols with 1,1,1-trichloropropene and 1,1,1-trichloro-2-bromopropene. Through product isolation, oxidation to sulfones, comparison with independently prepared compounds, and experiments with illumination, sulfur, and isomeric halopropen…
This paper studies an integral geometry problem in three-dimensional complex affine space: reconstructing a sufficiently regular rapidly decreasing function from its integrals over the lines of an algebraic complex. The authors formulate a tangency condition on the complex, give an equivalent differ…
This study examines whether catalytic hydrogenation of olefins involves two elementary processes, recombination of surface intermediates with hydrogen atoms and disproportionation between surface radicals. Ethylene, propylene, and equimolar mixtures of the two were hydrogenated on electrically heate…
This note extends Pontryagin’s maximum principle to optimal control problems for systems whose state equations contain a fixed delay in the phase variables but not in the controls. The problem is formulated with a prescribed initial history, a terminal manifold condition, free terminal time, and an …
This paper studies the Cauchy problem for higher order normal hyperbolic equations with periodic spatial variables and variable coefficients. It constructs explicit and implicit finite difference schemes and proves their stability through discrete energy estimates based on a difference analogue of t…
This study examines how adding dioxane, a low dielectric constant organic solvent, affects the complex formation and chromatographic separation of rare-earth elements by alpha-hydroxyisobutyric acid. Static ion-exchange experiments with yttrium and cerium in dioxane-water mixtures were used to estim…
This paper studies iterative methods with minimal residuals for solving nonlinear operator equations in a real Hilbert space. Starting from a general iteration with a scalar step chosen to minimize the norm of the linearized residual, it derives two principal schemes, one using the current residual …
The paper studies Borel-type interpolation in non-quasianalytic classes of infinitely differentiable functions whose derivatives satisfy bounds of the form \(B^n n^{n\beta}\), with \(\beta>1\). Using estimates for Fourier transforms of functionals concentrated at a point, refined Phragmen-Lindelof a…
This paper revisits the Zel’dovich and Frank-Kamenetskii theory of one-dimensional normal gas combustion, focusing on approximations used in solving the heat-conduction equation for a flame at finite activation energy. It refines the reaction-rate expression by using absolute concentration to accoun…
This paper examines the origin of the exponential temperature dependence of electrical conductivity in semiconducting polymers based on polyacrylonitrile and polyvinyl chloride. Using measurements of conductivity and thermoelectric power for several treated polyacrylonitrile samples, the authors com…
This paper studies boundary-value problems for quasilinear systems of differential equations in divergence form whose equations in variations define strongly elliptic, positive operators. It formulates functional conditions ensuring coercivity, growth control, and compactness in suitable Sobolev-typ…
This paper develops a statistical treatment of the diffuse part of the electric double layer in concentrated electrolyte solutions, where standard Gouy-Stern assumptions are inadequate and specifically adsorbed ions form a discrete compact layer. Using Kirkwood-type correlation functions, the author…
The paper addresses the construction of multistage compensator circuits that avoid the wide range of sectional resistance values required in conventional shunting and double-decade designs. It formulates a general principle for homogeneous compensators in numeral systems with arbitrary integer base,…
This note extends results on superconvergence and noncontinuability from lacunary power series to more general functional series whose basis functions satisfy a growth condition in domains bounded by level curves of a function u. It formulates lacunary structure for such series and proves analogues …
This study examines electron paramagnetic resonance spectra of Baltic oil shales, chiefly kukersite, to clarify features of kerogen structure and its changes during thermal decomposition. Initial enriched kukersite and dictyonema shale showed narrow signals with g = 2.002, while unenriched and heat …
This paper studies the counting function for prime constellations p, p plus u1, through p plus um, including the case in which the primes are constrained to prescribed arithmetic progressions. Using Vinogradov’s method of trigonometric sums over primes, together with estimates for primes in progress…
The study examines the ring opening of alpha-methyltrimethylene oxide by chlorosilanes, aluminum chloride, titanium tetrachloride, and hydrogen chloride, with the aim of determining the preferred direction of cleavage in an unsymmetrical beta-oxide. Reactions with silicon tetrachloride, methyltrichl…
This paper investigates the percarbonate-initiated addition of isopropyl alcohol to maleic acid, a reaction previously achieved photochemically, with the aim of clarifying aspects of percarbonate decomposition. Experiments using dicyclohexyl and diisopropyl peroxydicarbonates at 50 degrees showed th…
This paper examines the internal structure of slow oblique magnetohydrodynamic shock waves in a conducting barotropic medium, allowing for arbitrary dissipative coefficients including viscosity and magnetic viscosity. By reducing the stationary one-dimensional equations to a three-dimensional dynami…
This paper examines the nitration of selected alpha,beta-unsaturated aldehydes and ketones of the furan series as a route to substituted 5-nitrofuran compounds, addressing earlier difficulties in applying this synthesis. The authors report that low-temperature nitration in acetic anhydride with smal…
The study examines the kinetics and irreversibility of divalent iron electroreduction at a dropping mercury electrode, addressing conflicting interpretations of whether the process is reversible and whether iron forms an amalgam. Using visual and oscillographic polarography with pH monitoring, the a…
This paper studies commutative topological groups equipped with partial order relations introduced independently of the topology, with emphasis on how convergence and order interact in iterative approximation methods. It defines almost ordered groups, semi-ordered topological groups, order-complete …
This note examines the Cauchy problem for quasilinear hyperbolic systems and the question of whether a vanishing viscosity definition of generalized solutions restores uniqueness. It constructs two parabolic regularizations of the same two-component hyperbolic system, differing only in the positive …
This study investigates the interaction of iodine with polyvinyl alcohol in aqueous solution, motivated by the biological activity and blue coloration of iodine complexes with high polymers. Using spectrophotometry from 220 to 800 nm, the authors examined solutions prepared with iodine and iodide ov…
This paper examines the distribution of electron density in polycrystalline gallium arsenide using X-ray diffraction intensities measured with CuK alpha radiation and analyzed through structure amplitudes, atomic scattering factors, and three-dimensional Fourier summation. Electron-density maps for …
This paper investigates the molecular carrier of the green “fluctuation bands of boric acid” observed in flames and hot vapors containing boron compounds. The authors combine isotope shift measurements for boron oxides of varying isotopic composition with visible and infrared absorption and emission…
This paper reports the synthesis of several ferrocene polymers, including polyferrocenylene, polydiisopropylferrocene, and methylene or ethylene bridged polyalkanoferrocenes, and examines their optical and magnetic behavior. The polymers were prepared by radical polyrecombination or by aluminum chlo…
This paper reexamines the commonly accepted stepwise hydrolysis scheme for aluminum chloride solutions in the pH range 2 to 6, questioning whether intermediate basic chlorides such as AlOHCl2 and Al(OH)2Cl exist as individual compounds. The authors review potentiometric, conductivity, optical, preci…
This paper investigates whether tricalcium silicate and tristrontium silicate can form solid solutions, a question relevant to silicate crystal chemistry and cement chemistry. Samples containing 5, 7.5, and 10 wt.% tristrontium silicate in tricalcium silicate were synthesized by prolonged high-tempe…
The note refines standard \(L^p\) norm inequalities for complex polynomials of degree \(n\) under the restriction that they have no zeros in the unit disk. Using de Bruijn’s Bernstein type inequality for the derivative on the unit circle, it proves an improved upper bound for \(\|Q_n(Re^{i\varphi})\…
This paper studies lower estimates outside exceptional sets for subharmonic functions, differences of subharmonic functions, and meromorphic functions in the unit disk. Using Riesz representation and a method of Hayman, it proves bounds in terms of an integral characteristic and an associated functi…
This paper examines the structure of the surface double layer in molten niobate systems by measuring surface tension and surface potential at the air interface for Cs2O, K2O, and CaO additions to Nb2O5 at 1500 °C. Using the maximum bubble pressure method and a Gouy-Frumkin type electrochemical arran…
This paper reports the synthesis and reactions of tri-(ethylmercapto)-diborane, formed in 60 to 70% yield by reacting diborane with ethyl mercaptan in ether at room temperature, in contrast to higher alkyl mercaptans that give tetra-substituted diboranes. The compound is characterized as a vacuum-di…
This paper reexamines equilibrium conditions in the Co, O and Co, O, H systems, motivated by discrepancies in earlier measurements and by their relevance to hydrogen reduction routes for producing metallic cobalt. Using X-ray characterization and vacuum equilibrium measurements, the authors determin…
This paper reexamines the standard proof that strong deflagrations and, in the Zel’dovich Neumann model, weak detonations are impossible. It argues that the usual energy barrier argument depends on an implicit assumption about the sign of the chemical reaction rate along the Michelson line and is th…
This study examines the interaction of bismuth chloride with alkali-metal chlorides in molten equimolar sodium chloride and potassium chloride at 700 to 850 degrees C. Equilibrium potentials of liquid bismuth were measured against a chlorine reference electrode at several bismuth chloride concentrat…
The paper refines estimates for the spectral function of the Laplace operator in an N-dimensional rectangular parallelepiped with homogeneous boundary conditions of the first or second kind. By expressing the eigenfunction expansion as exponential sums over lattice points and applying the Landau-Har…
The paper studies the radial distribution of charged particle density in meteor trails, a quantity needed for interpreting radio wave reflection, when diffusion and recombination both affect trail evolution. It formulates a cylindrical diffusion equation with quadratic recombination and a moving sou…
This paper examines how the light-scattering indicatrix of a polydisperse colloidal or aerosol system depends on the assumed particle-size distribution, with emphasis on the stability of the inverse problem for determining that distribution from measured scattering. The authors discuss the reduction…
The paper establishes a generalized weighted integral inequality in Euclidean space involving integration over a subspace and weights defined by distances to complementary subspaces. Using earlier Hardy, Littlewood, Sobolev, and Il’in type inequalities together with a Plessner device, the author pro…
The paper proposes an isotopic and low-voltage mass-spectrometric method for distinguishing free phenyl radical reactions from transformations occurring within reaction complexes. Reactions were carried out in mixed light and deuterated benzene or cyclohexane, and the appearance of newly formed mono…
The paper analyzes the linear stability of detonation waves in gas mixtures, motivated by the problem of spin detonation and by earlier qualitative instability criteria. A simplified two-zone model is used, with a constant chemical spike, an instantaneous transition to final products after a pressur…
This note studies Diophantine finiteness problems for elliptic curves over one-variable function fields with algebraically closed constant field of characteristic zero, as analogues of the Siegel-Mahler theorem and Mordell conjecture. It sketches proofs that, under a non-isotriviality assumption, on…
This paper analyzes composition, yield relationships for reversible formation of complexes of the type AmBn in solution using the law of mass action. By differentiating the equilibrium expression for series with one variable component and for isomolar series, the authors show that commonly assumed m…
This paper refines constants used in V. M. Tatevskii’s additive scheme for calculating heats of combustion of alkanes, focusing on the previously uncertain contribution of the quaternary carbon bond C4,C4. The authors report a measured liquid-state heat of combustion at 25 degrees Celsius for 2,2,3,…
The study examines how preadsorbed oxygen affects bromide adsorption on platinum electrodes in acidic solutions, using radioactive bromine tracers and charging curves. Measurements on platinized and smooth platinum show that strongly adsorbed bromine is not rapidly displaced by oxygen, while preadso…
