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
The paper addresses the precalculation of adsorption equilibrium parameters for an adsorbent in contact with a binary vapor mixture, using the theory of volume filling of micropores. It generalizes the Dubinin-Radushkevich equation for individual vapor adsorption to mixtures and combines it with the…
The paper studies asymptotic expansions for ordinary differential equations with a small parameter in which the limiting equation remains of the same order but degenerates at the left endpoint, causing the loss of one boundary or initial condition. It develops a method that separates the regular par…
This study examines monolayers formed by mixtures of normal hexadecanol, cetyl alcohol, and a secondary hexadecanol, with emphasis on two-dimensional pressure, spreading behavior, and reduction of water evaporation. Using surface pressure area measurements, kinetic spreading experiments, and evapora…
This study examines how complex-forming eluents influence the kinetics of ion-exchange processes and chromatographic band broadening during rare-earth element separation. Using KU-2 cation exchanger, radiotracer measurements, and Boyd’s diffusion treatment, the authors measured sorption of citric ac…
This paper determines convergence classes for interpolation series associated with systems of linear functionals, with emphasis on the Abel-Goncharov and Gelfond interpolation problems. Using a generalized associated-function representation involving an entire function constructed from the inverse o…
This study examines how reactor surface material affects the chain-propagation mechanism in the liquid-phase oxidation of liquefied n-butane near critical conditions. Experiments in glass, quartz, and stainless-steel reactors, including vessels packed with steel turnings or glass wool, compared prod…
This paper examines mechanochemical transformations in macromolecules subjected to dispersion at 80 to 100 K, using solid dilute polymer solutions to reduce secondary effects that obscure the primary conversion of mechanical energy into chemical change. Electron paramagnetic resonance spectra and mo…
This note studies spectral properties of a broad class of bounded non-self-adjoint operators in spaces with an indefinite metric, without assuming finite rank of the negative or positive part. It constructs a characteristic matrix-function for such operators, establishes its basic identities, and re…
This study examines how cations and outer-sphere anions affect the state of O-H bonds in water molecules coordinated in crystalline salt hydrates. Using infrared absorption spectra of perchlorate hexahydrates of several divalent metals and comparison with nickel sulfate hexahydrate, the authors esti…
This paper establishes criteria for the homogeneous Dirichlet problem for the polyharmonic equation in unbounded domains, considering generalized solutions for right hand sides in suitable Lebesgue spaces and the discreteness of the associated spectrum in L2. The argument develops Molchanov’s capaci…
The paper develops a variational framework for a class of degenerate elliptic boundary value problems in a weighted Sobolev setting, focusing on the half-plane as a model case. It defines anisotropic weighted spaces adapted to the operator x inverse times differentiation in x, proves trace and exten…
This paper studies embeddings of modules over associative rings, focusing on faithful primary modules, divisible modules, and modules without zero divisors. Using injective module embeddings and a construction that embeds rings from special classes into rings with identity, it proves that over an in…
This paper studies a one-dimensional two-phase Stefan problem for quasilinear heat equations with a single moving interface and Neumann boundary conditions. The authors formulate a solution concept and propose an implicit finite-difference scheme in which the time step is chosen so that the approxim…
This paper investigates whether mass-symmetric fission appears as a distinct component in the fission of thorium-232 induced by 14 MeV neutrons and by bremsstrahlung photons with maximum energy 90 MeV. Using a double-pulse ionization chamber with electrical collimation, the authors measured fragment…
This paper states results on analytic transformations of a boundary function and a periodic function, defined through conformal mapping, Faber polynomials, and Cauchy type integrals over domains or continua with simply connected complement. It gives conditions for the existence of sigma transforms a…
The study examines electrokinetic behavior and structural stability in nonaqueous plastic disperse systems, using calcium, lithium, and sodium soap greases with hydrocarbon dispersion media. By observing solidified oriented flow structures in polarized light under applied electric fields, the author…
This paper studies Katetov’s maximal H-closed extension τR and its relation to the Cech compactification βR, using the notion of maximal points, defined as non-isolated points that are not points of contact of any set. It proves that every point of τR outside R is maximal, that sets of regular cardi…
The paper studies transition solutions of autonomous nonlinear differential equations of order n on the whole real axis, connecting two equilibrium values at negative and positive infinity with all derivatives tending to zero. It develops sufficient existence conditions by introducing majorizing pai…
This paper develops an approximate theory for the propagation of crystallization in supercooled clouds seeded with ice nuclei, addressing the limitation of earlier treatments that neglected the gradual fallout of growing ice crystals. The process is modeled as occurring in a narrow frontal zone sepa…
This paper studies zeros of orthogonal systems of continuously differentiable functions on an interval, extending classical results for algebraic orthogonal polynomials. Assuming that each finite initial segment of the system is a Chebyshev system, it proves that each orthogonal function has the exp…
This note develops a method for constructing aligned-point nomograms for first-genus equations in three variables, represented with one curvilinear scale and two rectilinear scales. The problem is reduced to bringing the given relation to Massau’s determinant form by studying the differential equati…
This paper studies branching for analytic operator equations in Banach spaces under general hypotheses, with a finite dimensional branching component. It introduces the notion of an r-simple solution, meaning a zero-solution stable in a specified Laurent-series sense under small parameterized pertur…
The paper studies general boundary value problems for elliptic differential equations of arbitrary order whose coefficients may be discontinuous across an interior interface. It formulates boundary and conjugation conditions using general differential operators, proves a relation between covering co…
The paper studies the joint distribution of prime elements in two imaginary quadratic fields, specifically the Gaussian field and the field generated by the square root of minus three, under the condition that the two primes have equal norm. It relates this counting problem to the analytic continuat…
The study examines the hydroboration of dimethyl allylboronate to determine how the dimethoxyboryl group affects the orientation of diborane addition and whether products containing multiple boron atoms can be obtained. Dimethyl allylboronate was prepared from triallylborane and methyl borate, hydro…
The note studies Lie algebras and Lie rings admitting regular automorphisms of finite period, where no nonzero element is fixed. It proves that any Lie algebra over a field of arbitrary characteristic with such an automorphism of period n is solvable, with derived length bounded by 2 to the power n …
This paper relates the stability of one-layer finite difference schemes for linear parabolic-type Cauchy problems to convergence of measures on spaces of continuous paths. Starting from a fundamental solution satisfying positivity, boundedness, and localization assumptions, it constructs path-space …
The paper studies Volterra type integral equations with delayed arguments under monotonicity and continuity assumptions, motivated by applications such as delayed feedback systems. It first records the resolvent kernel representation for a linear delayed Volterra equation and then establishes compar…
This paper examines finite-difference approximations of the atmospheric balance equation used in numerical weather prediction, arguing that conventional small-step error estimates are inadequate for practical grid spacings of several hundred kilometers. Treating meteorological fields and approximati…
This paper examines the sulfuric acid catalyzed introduction of the iodoisopropyl group into aromatic hydrocarbons using allyl iodide, addressing the lack of practical methods for synthesizing side chain iodine containing alkylaromatic compounds. The authors test benzene, toluene, several alkylbenze…
The paper studies fixed point phenomena in constructive metric spaces, focusing on mappings of the square into itself and their relation to constructive analogues of Brouwer’s theorem. It constructs continuous and uniformly continuous operators on the constructive square, including a continuous retr…
This paper investigates the use of acyl phosphites as phosphorylating agents for hydroxyl compounds, addressing whether alcohol reactions give phosphites through true phosphorylation rather than disproportionation. Experiments with tribenzoyl phosphite and 1,3-butylene acetyl phosphite show that alc…
This paper studies asymptotic solutions of linear differential systems with a small parameter when the leading matrix has multiple roots with several elementary divisors, including a resonant forcing term. After reducing the leading matrix to Jordan form, the author constructs formal expansions in f…
The paper studies least square trigonometric approximation of continuous two variable periodic functions on prescribed equidistant grids. It defines the polynomial of best quadratic approximation at these nodes, represents it through products of Dirichlet kernels, and relates special limiting cases …
This paper studies exact operations on the class of all groups, understood as product constructions with fixed embeddings of factors, and organizes their known and proposed properties into systems of internal, external, and associativity postulates. It analyzes implications and equivalences among th…
This paper examines the relationship between sigma-electron bond charges and thermochemical energy characteristics in saturated hydrocarbons. It reformulates earlier linear correlations between bond charge and bond energy by incorporating heats of formation, atomization, and carbon sublimation, deri…
This paper studies boundary value problems for general Petrovsky parabolic systems with variable coefficients in domains of broad geometric form, including nonconvex cylindrical domains, noncylindrical bounded domains, and certain exterior unbounded domains. Using half space fundamental matrices and…
This paper constructs fundamental matrices of solutions for Petrovskii parabolic systems and related elliptic systems under integral Hölder, or Dini type, continuity assumptions on the coefficients, weakening the usual Hölder hypotheses. Using Levi’s parametrix method, Green matrix estimates, and co…
This paper investigates cleavage products of albonoursin, a crystalline compound associated with the antifungal antibiotics albofungin and nystatin, as part of efforts to clarify its chemical structure. Alkaline hydrolysis followed by derivatization with 2,4-dinitrophenylhydrazine, thin-layer chroma…
This paper examines the use of metal tanks as cavity resonators for measuring liquid level by tracking changes in resonant frequency. It develops frequency characteristics for rectangular vessels containing either conducting liquids or low-loss dielectric liquids, using idealized electrodynamic mode…
The study examines the liquid phase catalytic reduction of p-benzoquinone by carbon monoxide in acidic aqueous dioxane mixtures using palladium chloride species and Pd/C catalysts. It proposes a redox mechanism in which carbon monoxide forms a palladium carbonyl chloride complex that hydrolyzes with…
The study examines the uncatalyzed reactions of trichlorogermane with conjugated dienes and compares their behavior with known trichlorosilane additions. Experiments with butadiene, isoprene, and piperylene, followed in several cases by methylation and product separation, used elemental analysis, ga…
This note constructs the partition of the set of all Poisson-stable motions induced by the standard invariant classes: stationary, periodic, almost periodic, uniformly Poisson-stable, recurrent, almost recurrent, and pseudo-recurrent motions. It identifies eleven invariant component classes and prov…
This paper examines how temperature affects the wear resistance of polymeric materials, emphasizing the role of forced elasticity and elongation at break alongside friction, hardness, and strength. A qualitative relation is proposed in which wear depends on the coefficient of friction divided by the…
This paper studies a Wiener-Hopf equation of the first kind and argues that restrictive solvability conditions can be avoided by enlarging the solution class to include generalized functions consisting of an square integrable part together with Dirac delta functions and their derivatives. The method…
The paper develops a general sieve-theoretic framework for quasi-prime numbers, defined as integers whose prime divisors exceed a prescribed threshold depending on the interval length. Its main theorem estimates, for broad integer sequences satisfying average distribution in arithmetic progressions,…
This note proposes a method for detecting high frequency radiation through transitions in quantum systems whose Zeeman degeneracy is lifted by a static magnetic field and which are simultaneously exposed to longitudinal low frequency and transverse high frequency alternating magnetic fields. The arg…
The paper studies Fourier coefficients of Poincaré series of dimension negative two for the principal congruence group, reducing the problem to estimates for sums involving Kloosterman sums and the Bessel function. It proves bounds for the sum S(A,N,l,nu) under coprimality conditions, including an e…
The paper develops an axiomatic theory of random normed spaces, linear spaces in which each vector is assigned a distribution function interpreted as the probability law of its norm. The proposed triangle operation includes the Menger and Wald approaches as special cases and leads to results on mini…
