SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
This study examines whether amide resonance is inhibited when the amide nitrogen is incorporated into a three-membered ethylenimine ring. p-Bromobenzoylethylenimine and the comparison compound p-bromobenzoyldimethylamine were synthesized and analyzed by X-ray diffraction using Weissenberg photograph…
This paper analyzes the relative motion of small solid particles suspended in a locally homogeneous, isotropic, stationary turbulent flow, under conditions where particle concentration is low, particle size is below the inner turbulence scale, and particle feedback on the gas is neglected. Starting …
A system of nonlinear integro-differential equations of the form \begin{equation} \frac{dx}{dt}=\varepsilon f(t,x,\int_0^t\varphi(t,s,x(s))\,ds),\tag{1} \label{1} \end{equation} is considered, where $\varepsilon>0$ is a small parameter. The system \eqref{1} is associated with a system of averaged eq…
This paper presents deep magnetotelluric sounding results from a 90 km Ashkhabad to Bakhardok profile across the Pre-Kopetdag trough, addressing uncertainties caused by non-plane-wave sources and crustal inhomogeneity. The authors analyze sudden onsets of electromagnetic storms using a real-paramete…
This note studies topological groups in which every closed subgroup has a closed complement, extending the theory of completely factorizable abstract groups to locally compact settings. It proves that every locally compact completely factorizable group is totally disconnected and metabelian, and der…
This paper examines ill-posed problems arising in the statistical dynamics of optimal automatic control systems, especially the determination of polynomial filter functionals minimizing mean-square error. The authors formulate the optimality conditions as a first-kind integral equation in a Hilbert …
The paper develops a method for deriving fixed point principles by reducing equations of the form F(x,x)=0 in Banach spaces to locally defined fixed point equations x=R(x) and assigning an index via the rotation of the associated vector field. A homotopy invariance theorem is proved for a parameter-…
The paper studies left D-algebras, a generalization of Lie algebras, and formulates a Cartan-Eilenberg type homology theory for them through a suitable notion of representation. It shows that polynomial representations satisfying a nonnilpotence condition reduce to Lie representations, allowing the …
This paper presents a general method for deriving maximum principle theorems for bounded lower semicontinuous functions in multidimensional domains with absolutely continuous support mappings. The argument reduces differential inequalities of the form involving second derivatives, first derivatives,…
This paper addresses the long-standing discrepancy between theoretical predictions and experimental observations of the energy dependence of polarized radiation from atoms excited by electron impact, especially the near-threshold decrease of polarization. It proposes a semiclassical explanation base…
This paper examines whether holograms can be recorded when the radiation scattered by an object and the reference beam have different wavelengths and therefore do not satisfy the usual phase coherence condition. Using a Gabor-type wave-optical treatment, the authors show that direct photographic rec…
This note proves a general existence and uniqueness theorem for closed convex polyhedra whose face directions are prescribed and whose faces are assigned prescribed positive values of functions defined on parallel convex polygons. The functions are assumed positive, continuous, translation invariant…
This paper studies exact wave functions for elementary particles of arbitrary spin in the field of a plane electromagnetic wave, a case in which the relativistic wave equation reduces to dependence on the phase of the external wave. Using the minimal equation for the particle matrices and a projecti…
This paper reports experimental work on explosive generators that convert chemical explosive energy into magnetic field energy by rapid compression of conductors carrying trapped magnetic flux. It discusses design constraints for variable inductance generators, including flux conservation, field lim…
This study uses proton magnetic resonance to investigate proton positions and water molecule dynamics in natural edingtonite, a fibrous zeolite whose hydrogen atom arrangement had not been directly established. Single-crystal spectra were measured over a broad temperature range to separate room-temp…
The paper studies flexural vibrations of three-layer beams using a reduced sixth-order differential equation for a displacement function that incorporates shear and layer-structure parameters. Harmonic solutions are expressed through the roots of the associated cubic characteristic equation, yieldin…
This paper proves uniqueness for second-kind integral equations used to formulate wave diffraction by open, infinitely thin screens. For scalar Helmholtz diffraction with Dirichlet and Neumann boundary conditions, including a formulation involving Green’s functions for complementary domains, the arg…
This paper analyzes transverse vibrations and flutter of an unbounded three-layer elastic plate or strip in a gas flow. Starting from the differential equation for flexural vibrations, the aerodynamic load is derived for potential flow on both sides of the plate, and the coupled problem is reduced t…
The study of characteristic vectors, initiated in the author's previous article, is continued. The concept of a superior vector is introduced, which is used to investigate the distribution of characteristic vectors of linear differential systems under small perturbations. This leads to stability cri…
This paper examines electroacoustic phenomena in solids for the simple case of one type of charge carrier with a parabolic electron spectrum, focusing on high ultrasonic frequencies where standard phenomenological relations may fail. Using the kinetic equation for electrons interacting with a monoch…
This study examines gas discharge parameters relevant to population inversion in argon ion optical quantum generators operated in continuous and pulsed regimes. Charged particle concentrations were estimated photographically from Stark broadening of hydrogen Balmer lines, with instrumental and Doppl…
This paper formulates differential equations for the filtration of aerated liquid in porous media while accounting for mass transfer of residual water, a factor often treated as constant in earlier models. Under simplifying assumptions including isothermal flow, ideal gas behavior, Henry’s law, negl…
The paper studies one-dimensional axisymmetric unsteady motions of an infinitely conducting, inviscid perfect gas cylinder under magnetic fields and Newtonian gravity, with temperature independent of radius and with nonzero azimuthal velocity. Assuming a Sedov-type linear radial velocity field, it d…
This note studies the bifurcation and Lyapunov stability of small almost-periodic solutions of analytic ordinary differential systems with an almost-periodic right-hand side depending on a scalar parameter. Under a spectral assumption in which the mean linear part has a single zero eigenvalue on the…
The paper derives boundary estimates for upper normal derivatives of solutions to second order elliptic equations and inequalities with zero Dirichlet data, allowing degenerate nonnegative principal coefficients and weak differentiability assumptions based on absolutely continuous support mappings. …
The paper develops integral inequalities for positive elements acted on by Volterra type operators in a partially ordered linear setting. Using resolvent operators and commutation order assumptions, it derives bounds for solutions of inequalities of the form \(u \leq \psi + Lu\) through products of …
This note studies a first-order axiomatic system for arithmetic that is equivalent to classical arithmetic with a constructive rule of infinite induction, but omits the usual explicit logical rules such as modus ponens. Formulas are put into a normal form built by additive and multiplicative operati…
This paper applies a general local method for operators to multidimensional convolution type operators, with particular attention to Wiener-Hopf equations in cones. It introduces a compactification of Euclidean space adapted to conic geometry, defines generalized and composite convolutions, and asso…
The paper studies decidability questions for formal logical calculi obtained from the predicate calculus by deleting selected axioms and inference rules. Using a sequence of formula translations that preserve provability, it reduces Church’s undecidability result for predicate calculus to calculi co…
The paper addresses competing structural models for antimony(III) tartrate complexes related to tartar emetic, particularly whether the complex is mononuclear or binuclear and whether water is coordinated to antimony. Single-crystal X-ray analysis was applied to the isostructural ammonium, rubidium,…
We consider the equation \begin{equation} \frac{\partial u}{\partial t} = \int_0^1 k\biggl(x,y,u(y,t),\frac{\partial u(y,t)}{\partial t}t\biggr)\,dy \tag{1} \label{1} \end{equation} where $$k(x,y,u_1,u_2t)=\sum_{l+k+j\ge1}^\infty k_{l,k,j}(x,y)u_1^l u_2^k t^j,$$ subject to the initial condition \beg…
This note studies holomorphic functions of several complex variables in bounded convex complete circular domains and in star-shaped domains. It introduces a family of integro-differential operators defined by coordinate dilations and proves an integral identity showing that the corresponding integra…
The paper examines statistical and variational methods for calculating the elastic constants of quasi-isotropic polycrystalline aggregates, focusing on the shear modulus of polycrystals composed of cubic crystallites. It shows that the Hashin and Shtrikman bounds, the results of Lifshitz and Rosenzw…
This note extends Menshov’s theorem on the correction of measurable functions to functions of several variables on the torus, with attention to convergence of multiple expansions. Focusing on two variables, it considers double trigonometric Fourier series, double Fourier-Walsh series, and mixed seri…
This note studies order reflexivity for combinations of partially ordered K-spaces, especially sums and connections formed from families of reflexive component spaces. It introduces several obstruction properties, denoted R0, R1, R2, and R3, and proves necessary and sufficient criteria for reflexivi…
The problems of choosing controls $u_1(t)$ and $u_2(t)$ that bring linear systems $$\frac{dx}{dt}=Ax+bu_1,\quad\frac{dx}{dt}=Ax+bu_2$$ to the equilibrium state $x=0$ in a given time $a\le t\le T$ are considered, subject to the minimization of the following control intensity estimates: $$J(u_1^0)=\ma…
The paper studies error estimates for approximating integrals over the infinite-dimensional unit cube by finite averages at prescribed nodes. Using Haar series expansions, it refines finite-dimensional discrepancy estimates and extends them to function classes defined by bounds on Haar coefficients …
This paper examines whether the observed drift of the Earth’s eccentric magnetic dipole could indicate motion of an eccentric solid inner core within the liquid core, and whether such motion would produce measurable secular changes in gravity. Using an assumed coincidence of the magnetic and gravita…
The paper studies how to determine whether a finite autonomous automaton is regular, meaning that its state transformation is one-to-one, from its canonical equations. It introduces determining and parity-determining systems of subsets, relates these notions to uniqueness of solutions of associated …
The paper introduces pluriparabolic differential operators as a multidimensional time analogue of Petrovskii parabolic operators, defined through weighted homogeneous polynomials whose nonvanishing properties are controlled by a hyperbolicity cone. It proves invariance of pluriparabolicity within th…
This paper analyzes temperature Green’s functions and elementary excitations in a weakly nonideal Bose gas, with attention to whether an additional collective spectral branch exists in the weak-coupling limit. Using perturbative secular equations for small interaction strength, it shows that the pro…
This paper examines the mechanism of dendritic growth in crystals with the diamond structure, focusing on germanium dendrites growing in the direction with one or more twin planes. Using microphotographs of transverse sections, the author compares single-twin and double-twin dendrites and argues tha…
The crystal structure of di-p-tolyl disulfide is refined to clarify the role of sulfur lone electron pairs in aromatic disulfides. Starting from an earlier molecular model, the authors used three-dimensional Fourier electron-density synthesis and least-squares refinement of scale factors, atomic coo…
The paper studies optimal correction strategies for a vehicle moving near a nominal trajectory under a linearized stochastic model with Gaussian insertion and measurement errors. Unlike fixed-time correction schemes, it treats flexible one- and two-impulse strategies in which correction times and im…
For the system \begin{equation} x(t)=\int_0^tK(t,s,x(s))\,ds+f(t)\tag{1}, \label{1} \end{equation}, where the vector function $K(t,s,x)$ has the form $$K(t,s,x)=K_1(t,s,x)-K_2(t,s,x),$$ and $K_j(t,s,x)$ ($j=1,2$) are continuous and non-decreasing with respect to $x$ in the domain $0\xi_2^j\quad (j=1…
This note studies whether finite-rank perturbations preserve closed range and homomorphism properties for linear maps between topological vector spaces, extending known results for closed operators in Banach and Hilbert spaces. Using quotient-space arguments, decompositions relative to kernels, and …
The paper examines whether angular measurements of light scattered by liquids can be used to investigate acoustic properties at sound frequencies of about 10^8 to 10^10 Hz. It argues that the adiabatic compressibility contributing to scattering by density fluctuations should be treated as dependent …
