F. A. SHOLOKHOVICH
This note studies linear dynamical systems on Banach spaces and their relation to autonomous linear differential equations with bounded linear operator. It proves that such a system corresponds to an equation dp/dt = Ap exactly when the associated one-parameter operator group is uniformly continuous…
Yu. S. BOGDANOV
This paper establishes sufficient criteria for the absence of closed trajectories in planar dynamical systems with continuous and differentiable right-hand sides. Using quantities derived from the vector field, especially curvature-related expressions along trajectories, it formulates algebraic and …
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This study examines the structure and reactivity of organic thiosulfonates, formerly described as disulfoxides, using radioactive sulfur tracer experiments. The authors test sulfur exchange between thiosulfonate esters and elemental sulfur or disulfides, showing that elemental sulfur does not exchan…
G. P. BOICHKOV
This paper develops approximate calculation formulas for radiant heating of finite bodies by reducing the multidimensional heat conduction problem to a one-dimensional form along the heat-flow line through a shape-dependent coefficient. It verifies a proposed temperature-field expression against the…
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This paper analyzes the structure of the diurnal variation of geomagnetic activity using five-year data from 41 observatories in both hemispheres. It decomposes the observed variation into components depending on local time and universal time, applies harmonic analysis, and compares the inferred uni…
In the present article new uniqueness theorems are proposed for differential equations
The paper develops uniqueness criteria for initial value problems for ordinary differential equations formulated in a real Banach space, including nonsingular and singular cases where the equation is required only for positive time. It introduces a general comparison framework based on an auxiliary …
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This paper studies perturbations of the continuous spectrum for operators of the form \(L=L_0+K\), where \(L_0\) is multiplication by the spectral parameter and \(K\) is an integral operator with a Hölder continuous, compact kernel satisfying symmetry and decay conditions. Extending Friedrichs’ appr…
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This note formulates integral representation theorems for functions analytic in an angular domain, extending earlier results on entire functions and related Paley-Wiener type representations. Using special integral transforms with Mittag-Leffler kernels, it gives representations for functions of pre…
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This paper describes the adaptation of an electron-optical shadow, or schlieren, method for studying electric field and potential distributions in semiconductor p-n junctions. Using a coordinate mesh as a field indicator, a 50 kV electron beam, and differential photographic recording of distorted an…
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The paper proves completeness results for eigenvectors and associated vectors of non-self-adjoint operators with discrete spectrum in a separable Hilbert space. Its main theorem treats compact Hilbert-Schmidt operators whose real and imaginary self-adjoint parts are sign-definite, showing that the r…
Corresponding Member of the USSR Academy of Sciences I. A. KIBEL
This paper develops a method for short-range forecasting of meteorological elements under the quasistatic approximation, treating the horizontal velocity components, vertical velocity, and geopotential through a coupled system of differential equations in reduced pressure coordinates. By decomposing…
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This note extends earlier undecidability results in group theory to algorithmic recognition problems for effectively complete classes of finitely presented groups. It first supplies details and strengthened auxiliary lemmas for the construction of groups associated with a word, showing that such a g…
A. A. Kuliev and M. G. Shakhtakhtinskii
This paper reports measurements of the saturated vapor pressure of solid selenium below its melting point, in the temperature range 86 to 200 degrees Celsius. The authors used the Knudsen effusion method with a radioactive selenium isotope, collecting and assaying the condensed effusate to determine…
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The paper examines purely plastic loss of stability in elastic-plastic inhomogeneous shells, with a bimetallic shell used to formulate the stiffness relations. Using Kirchhoff-Love assumptions and allowing for material compressibility, it derives incremental force, moment, strain, and curvature rela…
V. F. Ivlev and V. M. Rudyak
This paper examines the size distribution of Barkhausen magnetization-reversal jumps, questioning the prevailing view that smaller jumps always occur more frequently and that the distribution decreases monotonically with jump size. Using an apparatus with improved sensitivity to about 10^-7 CGSM, ac…
G. P. Boikov
This paper addresses the calculation of transient heating in finite bodies, especially parallelepipeds and short cylinders, under radiant heat flux governed by the Stefan Boltzmann law. After reviewing existing exact and approximate treatments of multidimensional heat conduction, it proposes a techn…
I. I. BARDYSHEV and Kh. A. CHERCHES
This study examines the resin acid composition of oleoresin from Siberian stone pine, with particular attention to whether isodextropimaric acid occurs in this native conifer. Resin acids were isolated from oleoresin collected in the Gorno-Altai region, purified through conversion to sodium salts, e…
K. V. BRODOVICH
The paper evaluates the definite integral of sin^m x divided by p plus q cos x over the interval from 0 to pi, for integer m at least 2 and parameters satisfying q not equal to zero and p squared minus q squared nonnegative. By transforming the integral to a beta type integral, analyzing convergence…
O. S. VOROB'EV
This paper develops an approximate analytical representation for plane supersonic flows of a compressible gas by replacing the exact coefficient in the characteristic equations with a rational form that permits Darboux-type integration. For adiabatic flow, the approximation is specialized for common…
Academician A. N. NESMEYANOV, K. A. PECHERSKAYA, A. N. AKHRAMOVICH
This study examines whether spatial orientation can suppress homolytic sigma, pi conjugation in allylic C, H bonds, analogous to previously observed restrictions in carbonyl systems. Rigid terpene hydrocarbons, bornylene, camphene, and delta fenchene, were subjected to oxygen autoxidation at 40 to 8…
M. L. LIDOV
This paper examines nonlinear behavior near the center of a strong explosion when linearized perturbation solutions become singular and fail to satisfy the central boundary condition. Using a one-dimensional ideal-gas explosion with adiabatic exponent 7 as a model, it compares regimes of density per…
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The paper studies meromorphic functions whose zeros, poles, or specified value-points of derivatives lie on, or sufficiently near, a finite system of rays, in connection with deficient values in Nevanlinna theory. It introduces a quantitative notion of closeness to the rays and a generalized deficie…
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The paper studies a matrix Riemann, Privalov boundary value problem on a Lyapunov contour, with boundary condition involving a bounded measurable coefficient matrix and Cauchy type integrals. It shows that when the coefficient matrix is nonsingular and continuous, it admits a canonical matrix factor…
Problem (C)
This paper studies Fourier type expansions associated with a mixed boundary value problem for the equation uxx minus K(x)utt equals 0 in a strip, where K(x) may vanish or become singular at the endpoints. Assuming K(x) has prescribed power behavior near 0 and 1, the analysis uses the corresponding s…
V. P. Galayko and L. E. Pargamanik
This paper addresses the construction of equilibrium correlation functions for systems of identical charged particles, especially where earlier perturbative expansions led to divergent integrals at small or large distances. Starting from Bogolyubov’s hierarchy, the authors separate the self-consiste…
G. M. Mamedaliev and S. M. Aliev
This study examines the catalytic aromatization of thermal-cracking kerosene mixed with light oils from petroleum pyrolysis as a route to increased production of low-molecular-weight aromatic hydrocarbons. Mixtures of kerosene with light gas-pyrolysis oil or with light oil from heavy distillate pyro…
E. A. EFIMOV and I. G. ERUSALIMCHIK
This study examines how a p-n junction affects the electrochemical behavior of germanium during anodic dissolution in hydrochloric acid, with emphasis on the role of holes at the semiconductor surface. Experiments were performed on n-type germanium plates bearing an alloyed indium junction and an oh…
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This study examines the yields of formaldehyde and acetaldehyde as stable intermediate products during the high-temperature oxidation of ethane, testing concepts of limiting yields in complex chain reactions. Ethane oxidation was studied manometrically in quartz vessels with different surface treatm…
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This paper formulates a plane finite-deformation problem for an incompressible isotropic material using logarithmic principal elongations, rotation, and generalized stresses. It derives compatibility relations for displacements and rotations, introduces a stress function to satisfy equilibrium witho…
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This study examines how the concentration of aluminum naphthenate oleogels in decalin affects maximum limiting rupture deformation and the corresponding structural strength. Using deformation curves measured with a complex elastoviscosimeter for 2 to 20 percent gels, the authors determine the maximu…
Academician A. N. NESMEYANOV, Corresponding Member of the USSR Academy of Sciences R. Kh. FREIDLINA
The study examines telomerization of ethylene with tetrachloroethylene as a one step route to tetrachloroalkenes bearing a trichlorovinyl group and an even carbon chain. Reactions were carried out under elevated ethylene pressure with several radical initiators, with water improving conversion and p…
and Academician **I. N. NAZAROV
This study uses optical, chiefly Raman spectroscopic, measurements to examine the conformations of epimeric 2-methyl-1-ethynylcyclohexanols and 1,2-dimethylcyclohexanols prepared and separated by crystallization or distillation. Characteristic frequencies for ring pulsation, acetylenic C≡C and C-H b…
A. A. GURCHENOK
This paper addresses the incomplete vaporization that occurs when boiling water discharges through cylindrical nozzles, where the residence time of liquid particles is short. Using a previously established pressure distribution and flow model, it develops a calculation method for outlet steam conten…
A. A. SAKHAROVA, Corresponding Member of the Academy of Sciences of the USSR A. D. PETROV
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This note studies the large time asymptotic behavior of solutions to the Cauchy problem for the nonlinear equation of unsteady gas filtration, equivalent to a heat equation with power law thermal conductivity. Using the invariance of the equation under shifts of mass, position, and time, the authors…
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This paper develops a Lie-theoretic framework for computing the principal transformation group of a system of partial differential equations and for using that group to construct special solutions. It reduces general systems to quasilinear first-order form, derives determining equations for infinite…
A. S. Simonov
This paper reports experimental studies of an electropneumatic percussion unit intended for column drilling hammers or rotary percussion drilling machines, where the higher weight of such units is less limiting than in hand tools. Using a test stand with varied crank radii, striker weights, blow fre…
V. T. Tikhonov
This paper investigates sources of vibration in induction motors, with particular attention to the effects of dynamic unbalance in rotating components. Using no-load vibration tests on several motor types, with piezoelectric vibroprobe measurements and oscillographic recording, it separately examine…
A. S. MARKUS
This note studies holomorphic functions of a complex parameter whose values are closed linear operators between Banach spaces, under the assumption that all values are semi-Fredholm operators of one of the two types. It introduces an invariant defined by vectors in the kernel that admit arbitrarily …
P. M. Alabuzhev, V. I. Kopytov
This paper analyzes forced oscillations of a mass on a spring when the mass impacts a single rigid stop, a model relevant to striker and hammer mechanisms. Using Galerkin’s variational method, with Krylov’s treatment of the impact force over a small contact interval, the authors derive first approxi…
I. V. Rodionov, Yu. A. Rozenberg, V. N. Karminskii
This paper analyzes the RUP-1 reamer, a proposed tool for enlarging coal raise boreholes drilled by SBM-3u machines to the cross section required for coal chutes. It describes the reamer mechanism and develops kinematic equations for the motion of the cutter teeth, the generated face surface, and th…
Academician **I. N. Nazarov** and Zh. A. Krasnaya
This study examines the condensation of the newly prepared diethyl acetal of beta-cyclocitral with 1-ethoxyisoprene as a route to isoprenoid aldehyde intermediates related to beta-ionylideneacetic aldehyde and vitamin A chemistry. In the presence of zinc chloride, the reaction gave separable ether a…
O. D. Alimov, I. V. Rodionov, D. N. Malikov, V. N. Karminskii
This paper surveys raise-boring machines used for drilling large-diameter vertical and inclined holes in underground mining, with emphasis on Soviet equipment and selected foreign designs. It compares serial machines such as the SBM-3u and LBS-2 with experimental developments including the MBS, BRM,…
O. D. Alimov, I. A. Ushakov, D. N. Malikov
This paper examines the driving of raise workings in the steeply dipping coal seams of the Prokopyevsk-Kiselevsk district of Kuzbass, where large volumes of such workings created bottlenecks in mine preparation and imposed high labor demands. Drawing on 1956 mine data, time-and-motion observations, …
G. V. Toporov, G. Ya. Smokotin
This study examines how grain size and heat treatment affect the resistance of steel 45 to impact fatigue, a failure mode relevant to mining-machine parts subjected to repeated blows. Standard notched and cylindrical specimens were normalized at several temperatures to produce different grain sizes,…
N. P. Ryashentsev
This paper proposes a synchronous sparkless switch intended for solenoid hammers and related electromagnetic reciprocating mechanisms, where conventional interrupters suffer rapid contact burning because of coil inductance. It explains a brush or cam commutator synchronized with rectifier operation …
P. M. Alabuzhev, N. P. Ryashentsev
This paper examines the development of solenoid hammers as an alternative to pneumatic and electromechanical impact machines, emphasizing the disadvantages of compressed-air systems and mechanically transmitted electric drives. It argues that solenoid hammers, despite problems of low efficiency, poo…
P. M. Alabuzhev
This paper examines design problems for electropneumatic impact machines used in mining and drilling, with particular attention to the choice between hand-held and column-type hammer designs. Drawing on prior experimental and theoretical work, it compares machine schemes using one-sided and two-side…
O. D. Alimov, D. N. Malikov, I. V. Rodionov
This paper reports experimental tests of a rack-and-screw automatic feed mechanism for drilling hammers, intended to compare measured behavior with prior theoretical results and to assess operability during rock drilling. Using calibrated spring sensors, brake loading, torque and feed-force recordin…
P. M. Alabuzhev, O. D. Alimov, I. V. Rodionov
This paper presents a theoretical study of the gear-screw automatic feeder developed for an electropneumatic column-type drilling hammer intended for blast-hole and borehole drilling. The authors describe the feeder as a closed differential mechanism combining drill rotation, feed motion, a lead scr…