Showing 50 of 25456 papers

On the Relationship Between a Linear Dynamical System and a Differential Equation in a Banach Space

F. A. SHOLOKHOVICH
1958 SovietRxiv: ru-195801.12627

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…

Some Criteria for the Absence of Closed Trajectories

Yu. S. BOGDANOV
1958 SovietRxiv: ru-195801.12605

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 …

On uniqueness theorems for ordinary differential equations

In the present article new uniqueness theorems are proposed for differential equations
1958 SovietRxiv: ru-195801.12177

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 …

On the Perturbation Theory of the Continuous Spectrum

Unknown
1958 SovietRxiv: ru-195801.12068

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…

Application of the shadow electron microscopy technique to the study of potential distribution in $p$–$n$ junctions

Unknown
1958 SovietRxiv: ru-195801.11888

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…

THEOREMS ON THE COMPLETENESS OF THE SYSTEM OF EIGEN- AND ASSOCIATED ELEMENTS OF OPERATORS WITH DISCRETE SPECTRUM

Unknown
1958 SovietRxiv: ru-195801.11843

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…

A Method for Short-Term Forecasting of Meteorological Elements

Corresponding Member of the USSR Academy of Sciences I. A. KIBEL
1958 SovietRxiv: ru-195801.11818

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…

Study of the Vapor Pressure of Selenium Below the Melting Point

A. A. Kuliev and M. G. Shakhtakhtinskii
1958 SovietRxiv: ru-195801.11576

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…

Stability of Elastoplastic Inhomogeneous Shells

Unknown
1958 SovietRxiv: ru-195801.11501

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…

Isodextropimaric Acid as a Component of Resin Acids in the Oleoresin of Siberian Cedar, Pinus sibirica (Rupr.) Mayr

I. I. BARDYSHEV and Kh. A. CHERCHES
1958 SovietRxiv: ru-195801.11199

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…

On the integral $\int_0^\pi\frac{\sin^mx}{p+q\cos x}\,dx$

K. V. BRODOVICH
1958 SovietRxiv: ru-195801.11185

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…

Stereochemistry of $\sigma,\pi$-Conjugation. Autooxidation of Rigid Allylic Systems

Academician A. N. NESMEYANOV, K. A. PECHERSKAYA, A. N. AKHRAMOVICH
1958 SovietRxiv: ru-195801.11042

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…

On Limiting Solutions Near a Singular Point

M. L. LIDOV
1958 SovietRxiv: ru-195801.11039

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…

EXPANSION THEOREMS CONNECTED WITH BOUNDARY-VALUE PROBLEMS FOR THE EQUATION \(u_{xx}-K(x)u_{tt}=0\) IN THE STRIP \(0\le x\le 1\) WITH DEGENERATION OR SINGULARITY AT THE BOUNDARY

Problem (C)
1958 SovietRxiv: ru-195801.10863

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…

Production of aromatic hydrocarbons by catalytic processing of thermal cracking kerosene in the presence of light oil from petroleum feedstock pyrolysis

G. M. Mamedaliev and S. M. Aliev
1958 SovietRxiv: ru-195801.10698

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…

Germanium electrode with a $p$–$n$ junction

E. A. EFIMOV and I. G. ERUSALIMCHIK
1958 SovietRxiv: ru-195801.10679

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…

PLANE DEFORMATION OF AN INCOMPRESSIBLE MATERIAL

Unknown
1958 SovietRxiv: ru-195801.10469

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…

THE INFLUENCE OF THE CONCENTRATION OF ALUMINUM NAPHTHENATE OLEOGEL ON THE MAXIMUM LIMITING DEFORMATION AND THE CORRESPONDING STRUCTURAL STRENGTH

Unknown
1958 SovietRxiv: ru-195801.10429

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…

Telomerization of Ethylene with Tetrachloroethylene

Academician A. N. NESMEYANOV, Corresponding Member of the USSR Academy of Sciences R. Kh. FREIDLINA
1958 SovietRxiv: ru-195801.10297

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…

On holomorphic operator functions

A. S. MARKUS
1958 SovietRxiv: ru-195801.09627

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 …

Study of Oscillations of a Load Impacting a Stop

P. M. Alabuzhev, V. I. Kopytov
1958 SovietRxiv: ru-195801.09622

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…

Study of a Reamer for Raise Workings

I. V. Rodionov, Yu. A. Rozenberg, V. N. Karminskii
1958 SovietRxiv: ru-195801.09612

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…

Condensation of $\beta$-cyclocitral acetal with 1-ethoxyisoprene

Academician **I. N. Nazarov** and Zh. A. Krasnaya
1958 SovietRxiv: ru-195801.09611

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…

Machines for Drilling Raise Boreholes

O. D. Alimov, I. V. Rodionov, D. N. Malikov, V. N. Karminskii
1958 SovietRxiv: ru-195801.09600

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,…

On the issue of driving ascending workings in the mines of the Prokopyevsk-Kiselevsk area of Kuzbass

O. D. Alimov, I. A. Ushakov, D. N. Malikov
1958 SovietRxiv: ru-195801.09589

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, …

Effect of Grain Size on the Impact Fatigue Resistance of Steel 45

G. V. Toporov, G. Ya. Smokotin
1958 SovietRxiv: ru-195801.09578

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,…

Synchronous Sparkless Switch

N. P. Ryashentsev
1958 SovietRxiv: ru-195801.09567

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 …

On the Issue of Creating Solenoid Hammers

P. M. Alabuzhev, N. P. Ryashentsev
1958 SovietRxiv: ru-195801.09555

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…

Some Issues in the Design of Electropneumatic Impact Machines

P. M. Alabuzhev
1958 SovietRxiv: ru-195801.09544

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…

Some Results of an Experimental Study of the Rack-and-Helical Mechanism of an Automatic Feed Device for Drilling Hammers

O. D. Alimov, D. N. Malikov, I. V. Rodionov
1958 SovietRxiv: ru-195801.09533

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…

Study of the Rack-and-Screw Mechanism of the Automatic Feeder of an Electropneumatic Drilling Hammer

P. M. Alabuzhev, O. D. Alimov, I. V. Rodionov
1958 SovietRxiv: ru-195801.09522

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…