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This paper proposes a diffusion mechanism for the diurnal variation of cosmic rays based on anisotropic propagation in the interplanetary magnetic field carried by the solar wind. Treating solar wind streams as Archimedean spiral magnetic structures, the author derives the transverse cosmic ray flux…
Yu. I. Yalamov, Corresponding Member of the Academy of Sciences of the USSR B. V. Deryagin
A theory is developed for diffusiophoresis of large nonvolatile aerosol particles in a binary gas mixture in the limit of small Knudsen number. Using irreversible thermodynamics, Onsager reciprocity, diffusion with barodiffusion, and hydrodynamic flow around widely separated spheres with slip bounda…
Unknown
This paper examines how changes in liquid water structure under high argon pressure affect the radiolysis of acidic aqueous solutions. Solutions containing ferrous ions with oxygen, ceric sulfate, or hydrogen and oxygen in sulfuric acid were irradiated while saturated with argon at pressures up to 2…
S. I. Pokhozhaev
The paper studies existence and nonexistence of eigenfunctions for the nonlinear Dirichlet problem Δu + λf(u) = 0 in bounded domains. For dimensions n > 2, it proves existence under a subcritical growth condition on f using a constrained variational minimization argument and Sobolev compactness, and…
Unknown
This paper examines deviations from Arrhenius behavior observed in low-temperature radical photopolymerization of vinyl monomers, particularly styrene and methyl methacrylate. It argues that, while collective interaction theories are not excluded, the curvature of polymerization-rate plots can be ex…
Academician of the Academy of Sciences of the BSSR A. N. Sevchenko, L. G. Pikulik, M. Ya. Kostko
This paper investigates how the fluorescence lifetime of complex organic molecules in solution depends on the frequency of exciting light, with particular attention to the anti-Stokes excitation region where direct measurements had been scarce. Using a phase fluorometer, the authors measured lifetim…
V. B. LIDSKII, P. A. FROLOV
This paper studies the topological structure of strong stability regions for real self-adjoint first-order systems of differential equations with periodic coefficients, generalizing Hamiltonian systems. Using a characterization of admissible matriciants by symplectic endpoint conditions, the authors…
Unknown
This paper studies general boundary value problems for parabolic differential equations in bounded domains whose smooth boundary has distinguished points where the tangent plane is perpendicular to the time axis. It formulates weighted anisotropic Sobolev spaces adapted to the parabolic scaling, red…
Unknown
The paper studies stability of finite difference schemes for the Cauchy problem for linear systems of partial differential equations with constant coefficients that are correct in the sense of Petrovskii. Using Fourier analysis in Sobolev norms for periodic initial data, it proves stability of an ex…
Corresponding Member of the Academy of Sciences of the USSR A. V. Nikolaev, Yu. A. Dyadin,
This paper examines phase equilibria and mutual solubility in the ternary system nitric acid, water, and the butyl ester of dibutylphosphinic acid at different temperatures, motivated by the need to characterize extraction systems and possible component interactions. Using experimental phase separat…
V. V. Ryl'kov, V. E. Kholmogorov, A. N. Terenin
The study investigates the sensitized photodecomposition of methyl iodide at 77 K using electron paramagnetic resonance detection of methyl radicals. Methyl iodide in inert frozen matrices was irradiated in the presence of phosphorescent sensitizers including aromatic amines, hydrocarbons, benzophen…
Academician K. A. Andrianov, G. S. Kolesnikov, E. F. Rodionova,
This study examines the thermal degradation of polymers of vinylphosphinic acid esters, motivated by the differing self-extinguishing behavior of their styrene copolymers as a function of ester group structure. The authors propose that decomposition proceeds through cleavage of alkyl ester groups wi…
A. A. Gonchar
This note studies an instability property of Newtonian harmonic capacity for open subsets of three-dimensional Euclidean space and its consequences for uniform approximation by harmonic functions. It shows that if the local capacity of an open set is sufficiently large in a limsup sense at almost ev…
Unknown
This note studies Cauchy and boundary-value problems for several singular nonlinear second-order ordinary differential equations on the half-line, including equations related by a radial substitution and arising in spherically symmetric scalar-field models. It analyzes when solutions can change sign…
Unknown
This communication reports the synthesis of cobalt(III) dimethylglyoxime complexes containing one coordinated water molecule and one molecule of ammonia or an organic amine, with the general cationic form [Co(DH)2(H2O)A]+. The compounds were prepared by adding calculated amounts of amines, including…
D. D. Ryutov
This paper analyzes electromagnetic radiation produced by nonlinear interactions of surface electrostatic oscillations in a bounded plasma, motivated by observations of intense oscillations and radiation in turbulent plasma heating experiments. For a plane plasma layer with thickness small compared …
Unknown
The paper studies boundary value problems for differential and integro-differential equations associated with mixed Sobolev-type spaces and their weighted analogues, including cases that lead to degenerate equations. It establishes trace and compact embedding properties for these spaces on boundary …
Unknown
This paper studies locally bicompact rings with identity and without zero divisors, focusing on the totally disconnected case beyond the known classification of locally bicompact division rings. It proves that locally bicompact normed rings of this type are either division rings or bicompact local r…
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This paper reports the preparation and characterization of several alpha-ferrocenylcarbonium salts, with emphasis on diphenylferrocenylcarbonium ferrichloride and perchlorate and ferrocenylphenylcarbonium perchlorate and tetraphenylborate. The salts were obtained from the corresponding ferrocenylcar…
B. A. BEL’TYUKOV
N. A. Adrova, M. M. Koton, E. M. Moskvina
This paper reports the synthesis of new aromatic polyimides from 3,3′,4,4′-diphenyltetracarboxylic dianhydride and several aromatic diamines, motivated by the search for heat-resistant polymers with improved chain flexibility. The polymers were prepared through soluble polyamidic acid intermediates …
A. N. Pudovik, G. I. Evstaf'ev
This study examines the synthesis of phosphorus-containing polyesters through homopolytransesterification of oxymethylphosphinic acid esters, a reaction type reported as previously undescribed. Ethyl ethyl-(oxymethyl)-phosphinate, ethyl phenyl-(oxymethyl)-phosphinate, and related esters were prepare…
G. I. LESKOV, Corresponding Member of the Academy of Sciences of the USSR, K. K. KHRENOV
The paper addresses the unresolved mechanism sustaining arc discharge currents at “cold” cathodes, where cathode temperatures and surface electric fields appear insufficient for standard thermionic or electrostatic emission explanations. It proposes applying Einstein’s theory of induced radiation to…
Kh. S. Bagdasar’yan, Z. A. Sinitsyna
This study examines low-temperature photochemical dehydrogenation of alcohols sensitized by aromatic amines at 77 K, focusing on hydrogen formation as a final reaction product. Using gas chromatographic analysis, actinometry, intermittent illumination, EPR comparison, and phosphorescence lifetime me…
Unknown
This note derives sufficient conditions for nonlinear Lyapunov stability of plane stationary curvilinear flows of an incompressible inviscid fluid under finite, circulation-preserving perturbations. Using variational arguments for dynamical systems with first integrals, the paper treats stationary E…
K. T. OGANESYAN, Academician of the Academy of Sciences of the Armenian SSR A. B. NALBANDYAN
This study determines rate constants for elementary reactions of hydrogen and oxygen atoms with ammonia, addressing contradictory earlier data and the lack of high-temperature measurements. Using first ignition limits for hydrogen, oxygen, ammonia and carbon monoxide, oxygen, ammonia mixtures in a q…
F. F. Vol'kenshtein, I. V. Karpenko
This note develops a theoretical expression for the magnitude of the photoadsorption effect on semiconductor surfaces within the electronic theory of chemisorption, considering established adsorption equilibrium and photoexcitation of electrons from the valence to the conduction band. The authors de…
Unknown
This paper examines the reaction of aqueous sodium borohydride with nickel chloride, a system important for forming nickel boride catalysts but whose product composition and formation mechanism remained uncertain. Using composition and reaction yield diagrams under continuous variation of reagent ra…
A. V. IOGANSEN
This paper examines the relation between hydrogen bond energy and the enhanced infrared absorption intensity of the A-H stretching vibration, arguing that intensity changes provide a more fundamental spectral indicator than frequency shifts. Using data for diverse intermolecular hydrogen-bonded syst…
A. Lelek
This paper studies dimension-theoretic properties of remainders in compact extensions of metrizable spaces with countable bases. It proves that if X is compact and Y is not locally compact, then every compact extension of X × Y has a remainder of dimension at least dim X, yielding consequences for p…
Unknown
This paper analyzes collisionless current convection in an inhomogeneous low-pressure plasma placed in a longitudinal magnetic field, focusing on the role of ion inertia when collision frequencies are small. Using a kinetic description for electrons, cold-ion hydrodynamics, quasineutrality, and a qu…
K. M. Mekhtiev, R. S. Gamidov, Kh. S. Mamedov, Academician N. V. Belov
Single crystals of Bi2[MoO4]3 obtained from oxide melts were examined by X-ray rotation photographs, goniometric sweeps, Patterson projections, and preliminary electron-density synthesis to clarify the compound’s crystal structure. The study refines the monoclinic unit-cell parameters, assigns the s…
E. G. KATAEV, V. V. PLEMENKOV, V. V. MARKIN
This paper reports the synthesis and characterization of the thionylamide of diethylphosphoric acid by reaction of diethylphosphoric acid amide with thionyl chloride under anhydrous conditions. The authors substantiate the product assignment through elemental analysis, hydrolysis to the parent amide…
Unknown
This paper introduces periods for forms closed with respect to a generalized differential operator on a compact real analytic Riemannian manifold. Using bilinear differential forms associated with solutions of adjoint equations, it defines period pairings with cycles and proves an isomorphism betwee…
A. A. BUGAEVSKII
This paper examines additive properties of systems with multistep ligand formation equilibria and their relation to equivalent sets of single-step equilibria. It develops a partial-fraction decomposition of the average property function, including the formation function, and derives formulas for the…
T. M. BELOSUDOVA, Academician of the Academy of Sciences of the Kazakh SSR D. V. SOKOLSKII
This study examines the liquid phase catalytic hydrogenation of styrene and phenylacetylene on platinized platinum in 0.1 N sulfuric acid, using charging curve measurements, potentiometry, electroreduction data, gas phase analysis, and kinetic observations. The experiments compare adsorption on dega…
I. A. Akimov, A. N. Terenin
This study experimentally tests the proposed p-n junction mechanism of spectral sensitization in dye and semiconductor systems. The authors compare sensitization of n-type ZnO and p-type TlJ by dyes whose photoconductivity type is varied through amorphous or crystalline states, and by related brilli…
L. M. TERMAN, D. M. YANOVSKII
This study examines which radical species initiate vinyl monomer polymerization during thermal decomposition of dialkyl peroxydicarbonates. Using measurements of carbon dioxide evolution during decomposition of dicyclohexyl peroxydicarbonate in the presence of styrene or methyl methacrylate, togethe…
Unknown
This study examines the preparation and properties of complex fluorides of molybdenyl and tungstenyl containing potassium, rubidium, or cesium as outer-sphere cations, a class of compounds previously much less explored than analogous uranyl salts. The compounds were synthesized from hydrofluoric aci…
V. V. Martynov
This paper studies the spectral type of self-adjoint first-order differential systems on the real line with constant real diagonal principal matrix and continuous Hermitian potential. It derives sufficient criteria for discreteness of the spectrum using quadratic estimates and a splitting principle,…
D. Z. Brainina, A. N. Men, V. S. Chudakov,
This paper examines the calculation of stabilization energies for iron group ions occupying tetrahedral and octahedral sites in spinel oxides, a quantity relevant to cation distribution in ferrites. Using a point charge crystal field treatment, the authors derive general expressions for ions with di…
Unknown
The paper examines how ionizing radiation energy is distributed in molecular mixtures, with particular attention to whether molecules containing pi electrons absorb energy selectively and thereby violate simple additivity rules. It compares calculated excitation and inelastic scattering cross sectio…
Z. N. Parnes, M. I. Kalinkin, D. N. Kursanov
This study examines whether molecular hydrogen can be formed from a proton and hydridically mobile hydrogen bound to carbon, using cycloheptatriene as a hydride donor. Experiments showed that trifluoroacetic acid converts cycloheptatriene to tropylium salt and polymeric products without hydrogen evo…
M. S. Yarov-Yarovoi
V. A. Lunkevich, K. S. Sibirskii
Unknown
This paper studies stability of solutions to the Cauchy problem for linear hyperbolic differential equations with values in a complex Banach space and constant bounded operator coefficients. The argument reformulates the boundary-value problem as an operator equation using integral operators, repres…
Unknown
The paper studies a linear integral equation on the half-axis with kernels depending on the difference and sum of variables, in weighted classes of functions allowed to grow at infinity. Using weighted convolution rings, generalized Fourier transforms, Fredholm operator theory, and reductions to Rie…
Unknown
This note studies when a probability measure space is isomorphic to the product of continuum many unit intervals with Lebesgue measure. It formulates conditions involving completeness with respect to null subsets, homogeneity, equality of metric and exact weights with the continuum cardinal, and a c…
Unknown
This paper addresses the construction of right inverse operators for controlled plant operators in automatic control, a problem arising in particular in invariance design for nonlinear systems. It represents a plant by a finite block construction consisting of integration, differentiation, delay, an…
Unknown
This paper addresses inverse spectral problems for Sturm-Liouville equations on a finite interval with a singular endpoint term of the form l(l+1)/(pi minus x) squared. It gives necessary and sufficient conditions for prescribed eigenvalues and norming constants to arise from such a boundary value p…