V. V. Rachinskii, L. A. Lenskii
This paper develops a sorption dynamics treatment of tritium isotope exchange during filtration of tritiated water through porous hydrogen-containing media, considering water-saturated, dry, and partially saturated columns. Using equilibrium front-motion equations and isotope distribution coefficien…
ELASTICITY THEORY
The paper formulates the buckling problem for shallow shells under creep as the time development of prescribed initial imperfections in a geometrically nonlinear setting. Assuming that stresses and strains during creep remain close to a basic momentless state, the author linearizes the creep relatio…
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The paper proves a density theorem for compactly supported smooth functions in weighted Sobolev-type classes on bounded and unbounded domains with simple boundary structure in the sense of Sobolev. It formulates boundary and growth conditions on the weights, including behavior near lower-dimensional…
S. S. Batsanov, I. A. Ovsyannikova
This study addresses conflicting theoretical predictions for the charge on nickel in nickelocinium, and clarifies earlier X-ray spectral results for nickelocene. Nickel K-edge absorption spectra of nickelocene and nickelocinium triphenylborate were measured with high resolution, corrected for instru…
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This paper examines how intermolecular interactions affect the nuclear magnetic resonance line shape of reorienting methyl groups in solids, where spectra of isolated nuclear groups are broadened by interactions between groups. Using measurements of the second and fourth moments and temperature-depe…
E. A. Smirnov, I. A. Korbukh
This study examines how a separated electron donor system affects the color and visible absorption of azomethines containing a nitro-substituted chromophoric donor acceptor system. A series of azomethines with donor substituents of differing strength were synthesized, and their powder colors and sur…
Corresponding Member of the Academy of Sciences of the USSR S. Yu. Yunusov
This study examines the alkaloid composition of Corydalis gortschakovii and Corydalis pseudoadunca collected in the Zaalai Range. Total alkaloids were obtained by chloroform extraction and separated into phenolic and nonphenolic fractions, followed by crystallization, derivative formation, spectral …
I. R. Krichevskii, L. A. Rott, Yu. V. Tsekhanskaya
This paper examines thermal fluctuations and Brownian motion in binary dilute solutions near the liquid gas critical point, with emphasis on the autocorrelation and slow relaxation of composition fluctuations. Using Gibbs critical point conditions and Onsager’s interpretation of diffusion as driven …
Academician B. A. Arbuzov, V. A. Naumov, L. F. Shpatruk
This study examines the molecular structures of the alpha and beta stereoisomers of Delta-3-carene oxide, whose interconversion requires rupture of a carbon-oxygen bond. Vapor electron diffraction patterns were measured and interpreted using radial distribution analysis and successive approximations…
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This paper reports the synthesis and characterization of organophosphorus derivatives of azetidine, a class that had previously received little systematic study. Azetidine was reacted with dialkylphosphoric acid chlorohydrides and related phosphorus acid chlorides to prepare a series of dialkylphosp…
F. A. Berezin
This paper studies symmetric and antisymmetric eigenfunctions of the many-particle one-dimensional Schrödinger equation with pair interactions whose potentials admit an exponential integral representation. Using two-particle scattering data, local solutions in ordered polyhedral sectors, and resolve…
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This note reformulates Ponomarev’s spectral theory of absolutes for paracompact spaces by giving a direct definition of “absolute” zero-dimensional projection spectra. It proves that every Ponomarev absolute is the space of a unique absolute spectrum, namely the maximal spectrum of that absolute, an…
A. M. IL’IN
The paper studies eigenfunctions and eigenvalues of a real elliptic operator in an unbounded domain that coincides outside a bounded part with a semi-infinite cylinder, with Dirichlet boundary conditions. It formulates solvability criteria for the inhomogeneous problem in exponentially weighted Sobo…
V. P. EVDAKOV, L. I. MIZRAKH, L. Yu. SANDALOVA
The study examines the reaction of dialkylamides of dialkylphosphorous acid with aldehydes, a system that could plausibly yield several types of phosphorus-containing products by analogy with known reactions of phosphorous acid derivatives. Heating equimolar amidophosphites and aldehydes gave nitrog…
V. M. CHERTOV, D. B. DZHAMBAEVA, A. S. PLACHINDA, I. E. NEIMARK
This study examines the concentration of surface and intraglobular silanol groups in silica xerogels prepared from hydrogels subjected to hydrothermal treatment at varied temperatures and durations. Total structural water was determined by high temperature calcination, while surface hydroxyls were m…
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This paper examines the gamma radiation polymerization of vinyl chloride in frozen solutions of vaseline oil at low temperatures, with attention to the contrast between behavior above and below the melting point of the monomer. Experiments at minus 78 and minus 196 degrees Celsius show strong depend…
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The paper examines temperature jump at a solid wall in polyatomic gases when different molecular degrees of freedom have unequal accommodation at the surface and slow internal relaxation. It divides the near-wall region into a kinetic layer and a wider relaxation zone, formulates separate heat-trans…
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This paper studies existence and uniqueness for boundary-value problems for second-order elliptic equations that degenerate on part of the boundary, with boundary conditions imposed only on the nondegenerate portion or supplemented by suitable nonhomogeneous data. Extending a method of Schechter, th…
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Infrared spectra were measured for carbon monoxide adsorbed on ruthenium, rhodium, and palladium between minus 150 and 120 degrees C at pressures near 10^-5 mm Hg and 1.3 mm Hg, in order to examine the proposed formation of both linear and bridged surface complexes on Group 8 metals. The spectra sho…
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The paper studies representation of arbitrary analytic functions in rho-convex domains by series and integral expansions associated with entire functions of finite order, extending earlier work on Dirichlet series with complex exponents. It introduces an associated function defined through coefficie…
Corresponding Member of the Academy of Sciences of the USSR G. G. CHERNYI
This paper develops an approximate formulation for hypersonic ideal-gas flow over the windward side of a flat wing at angle of attack. The governing conservation equations in the layer between the wing and the shock are transformed using a Legendre polynomial expansion across the layer, yielding a h…
Corresponding Member of the Academy of Sciences of the USSR A. N. TIKHONOV
The paper develops regularization methods for nonlinear equations of the first kind with a continuous one-to-one operator between metric spaces, using a smoothing functional that combines data misfit with a quadratic norm penalty. Under compact embedding and Hilbert space convexity assumptions, it p…
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The paper constructs a statistical operator for nonstationary nonequilibrium processes by extending a previous local-integral-of-motion method. Using conservation laws for energy, particle number, and momentum, it defines time-dependent operators governed by slowly varying thermodynamic parameters a…
I. T. Kiguradze
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This paper studies local isometric immersions of analytic Riemannian spaces into codimension one Euclidean space with prescribed Hölder regularity, focusing on whether classes \(C^{1,\alpha}\) can be universal beyond the analytic case. It formulates universality results and obstructions: Nash and Ku…
A. Ya. Khokhryakov, B. M. Arkhipov
V. R. Petukhov
N. V. Zhitarashu
This paper studies general boundary value and conjugation problems for Douglis, Nirenberg elliptic systems with discontinuous coefficients on a bounded domain divided by an internal surface. It formulates the relevant Sobolev, Hölder, and Slobodetskii spaces, defines a joint covering condition combi…
T. A. MASTRYUKOVA, A. E. SHILOV, V. V. ABALAEVA, E. E. KUGUCHEVA,
This study examines how the strongly electrophilic alkylating agent triethyloxonium fluoroborate affects the ambident reactivity of sodium derivatives of acetoacetic ester and acetylacetone. Using ether-phase reactions under heterogeneous conditions, followed by thin-layer chromatography, gas-liquid…
L. A. ALEKSEEV, P. L. GRUZIN
This study applies the Mössbauer effect to determine recoil-free gamma absorption by tin-119 nuclei in pure tin and in disordered tin-based solid solutions containing bismuth, indium, cadmium, or antimony. By measuring resonance absorption spectra over 130 to 300 K for absorbers of varying thickness…
Academician of the Academy of Sciences of the Uzbek SSR N. V. Lavrov, I. G. Petrenko
This paper examines the mechanism of complete methane combustion at elevated temperatures, focusing on the elementary radical reactions leading to carbon dioxide and water vapor. Building on Semenov’s low-temperature oxidation scheme, the authors propose a high-temperature chain mechanism that inclu…
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This paper studies the statistical mechanics of a one-dimensional equilibrium system of ordered identical elements interacting through a linear, Coulomb-type potential whose strength may be attenuated by intervening elements. The configurational integral is reformulated using interval variables and …
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This study examines the inhibition of thermooxidative processes in paraffin hydrocarbons by mixtures of anthracene and tetracyanoethylene, with attention to charge-transfer complex and adduct formation. Measurements of induction periods during oxidation of kerosene and ceresin at 180 °C showed that …
A. A. ARTAMONOV, Academician A. A. BALANDIN, R. D. BODNARCHUK
This study addresses the preparation of para-aminostyrene, an important intermediate for polymers and organic synthesis, by catalytic conversion of para-aminoethylbenzene as an alternative to multistage low-yield methods. Para-aminoethylbenzene was passed over a mixed oxide catalyst at 560 to 640°C …
1°.** Consider the nonlinear programming problem
The paper presents a parametric method for solving a class of fractional programming problems with a convex numerator, positive denominator, convex inequality constraints, linear equalities, and bounded variables. The authors introduce an auxiliary convex function depending on a parameter, whose zer…
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The paper addresses whether there exist constructive functions that are analytic in the unit disk, continuous on the closed disk, and nevertheless unbounded in the disk. It formulates complex constructive functions and analyticity, then adapts Zaslavskii’s unbounded continuous function using a speci…
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This note proves that every nonorientable closed three-dimensional smooth manifold can be embedded in five-dimensional Euclidean space, completing the corresponding result for all three-dimensional manifolds in combination with Hirsch’s theorem for the orientable case. The argument reduces the close…
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This note studies the Tricomi boundary value problem for a second order equation of mixed type with variable coefficients in a domain bounded partly by characteristics. It constructs a finite difference scheme adapted to the elliptic and hyperbolic parts of the domain, formulates coefficient conditi…
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This paper studies stability of solvable extensions of partial differential operators under small perturbations of differential coefficients and boundary conditions. For constant-coefficient operators in bounded domains, it gives a necessary and sufficient criterion for the existence of a stable sol…
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This note proposes a cutting-plane algorithm for integer linear programming problems whose integer variables are Boolean. The method reduces the original maximization problem to a sequence of canonical feasibility problems with thresholded objective value, then solves each by lexicographic maximizat…
A. N. Nesmeyanov, I. I. Kritskaya, È. I. Fedin
This paper reports the synthesis and characterization of several pi-allyl iron tricarbonyl complexes containing iodide, bromide, chloride, nitrate, and a 2-bromoallyl ligand, as well as a triphenylphosphine substitution product. The authors prepare these compounds by reactions of allyl halides with …
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The paper studies criteria for nonoscillation and boundedness of solutions of linear differential equations of the form x^(n) + p(t)x = 0, with emphasis on estimating intervals on which a distinguished solution has no zeros. Using integral inequalities, comparison functions, and reduction to Volterr…
O. A. Ptitsyna, M. E. Pudeeva, N. A. Belkevich,
This paper examines photochemical arylation of triphenylphosphine with diaryliodonium salts as a preparative route to triphenylarylphosphonium tetrafluoroborates. The authors irradiated acetone or methanol solutions of triphenylphosphine and substituted diaryliodonium tetrafluoroborides or chlorides…
A. P. VOROB'EV
1. Introduce the notation:
This note studies the occurrence of the Gibbs phenomenon for triangular summation methods of trigonometric Fourier series whose multipliers are approximated by a function of k/n with small perturbations. It proves a lemma giving sufficient conditions in terms of the limiting integral associated with…
I. P. Biryukov, M. G. Voronkov, G. V. Motsarev,
This study applies pulsed nuclear quadrupole resonance at liquid nitrogen temperature to seven chloroalkylchlorosilanes containing both Si-Cl and C-Cl bonds, aiming to relate resonance frequencies to bond polarity and substituent effects. The measured chlorine resonance frequencies show near-linear …
V. Ya. LYUDIN, V. E. KHOLMOGOROV, Academician A. N. TERENIN
This study examines whether electron transfer from oxide surfaces to adsorbed quinone molecules can be detected under vacuum conditions. Benzoquinone and anthraquinone vapors were adsorbed on thermally treated ZnO, MgO, BaO, and silica gel, and the resulting species were investigated by diffuse refl…
L. Yu. ZLATKEVICH, V. G. NIKOL’SKII, V. G. RAEVSKII
This study evaluates radiothermoluminescence as a method for assessing the homogeneity, glass-transition behavior, and practical stability of polymer mixtures. Mixtures of butadiene elastomers SKB and SKD were irradiated at low temperature and analyzed through glow curves during warming, with insuff…
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This paper develops comparison estimates for finite complex matrices using elementwise majorization, induced matrix norms, and logarithmic norms. It proves relations between spectral abscissa and the limiting behavior of the spectral radius, extends Perron type comparison arguments to real majorants…
Kh. M. Minachev, G. V. Antoshin
This study systematically examines the mobility of oxygen in rare-earth oxides from lanthanum to lutetium, motivated by their possible use as oxidation catalysts and by links between oxide oxygen mobility and catalytic activity. The authors measured isotopic exchange between molecular oxygen enriche…