Translated papers from the Chinese Preprint site, Chinaxiv
Showing 50 of 15540 papers
Generated abstract This note studies a class of Bessel-kernel integral equations arising in mixed boundary-value problems of elasticity and mathematical physics for a layer with a circular change of boundary conditions, with emphasis on the large-radius limit. Under analyticity, factorization, and asymptotic assumptio…
Generated abstract The paper studies step-sum processes formed from random rewards attached to the states of a finite semi-Markov process, with holding times and increments depending on the current state. Under ergodicity of the embedded Markov chain and finite second-moment assumptions, it establishes convergence of …
Generated abstract This paper develops a multiplicative notion of dispersion for probability measures on compact groups, formulated as a continuous nonnegative homomorphism on a semigroup of measures that vanishes on invariant measures of nontrivial subgroups. It derives basic properties of such dispersions, applies t…
Generated abstract This paper develops a hydrodynamic model for the interaction between the supersonic solar wind and a moving, ionized interstellar medium, assuming that Coulomb collisions and related plasma processes allow the flows to be treated as single-velocity gases. The authors approximate the compressed regio…
Generated abstract This paper reports experimental aerogravimetric measurements conducted over the Caspian Sea in May 1969 to assess the feasibility of airborne gravity surveying for regional geophysical applications. Measurements were made from an Il-14 aircraft using specially designed string gravimeters, barometric…
Generated abstract The paper determines the crystal structure of the Khibiny mineral phenaksite, a potassium, sodium, and iron silicate, and refines its formula as KNaFe[Si4O10]. Using Weissenberg X-ray diffraction data, Patterson analysis, multiple-peak methods, electron-density syntheses, and least-squares refinemen…
Generated abstract The paper examines passage through the self-oscillation zone of a rigid rotor rotating in journal bearings, focusing on the use of elastic supports rather than specially shaped vibration-resistant bearings. A nonlinear model is formulated for a symmetric rotor in elastic journal bearings, and, for a…
Generated abstract This paper studies zero-sum differential games of fixed duration in which one player observes the current state while the minimizing player receives state information only after a fixed lag. A discrete-time approximation is introduced to define information sets, pure, mixed, and behavioral strategie…
Generated abstract This paper studies additive functionals of time-homogeneous semi-Markov processes with a countable state space, under recurrence and stationarity assumptions on the embedded Markov chain. Using regeneration at returns to a fixed state, it derives limit theorems that reduce the asymptotic behavior of…
Generated abstract This paper examines the stability of a magnetically confined plasma with trapped particles when the plasma pressure is finite, extending earlier zero pressure considerations of trapped particle instability. Using a qualitative electrostatic perturbation analysis, it compares the dielectric contribut…
Generated abstract This note studies differential operators with smooth coefficients depending on a complex parameter on a ray, focusing on cases where the usual nonvanishing condition for the principal symbol fails. It derives necessary conditions for weighted a priori estimates in terms of the imaginary part of a Po…
Generated abstract This paper studies repeated two-person zero-sum matrix games in which each pair of pure strategies has both a payoff and a mean duration, and the total encounter time is large but finite or random. It argues that ordinary optimal strategies for the payoff matrix, and generally also those for payoff …
Generated abstract The paper studies convergence of the Bubnov-Galerkin method for equations \(Af=g\) with self-adjoint operators in a separable Hilbert space, focusing on cases where the negative or positive part of the spectrum is finite in the sense of eigenvalues of finite multiplicity. It reformulates the method …
Generated abstract The paper formulates the three-fragment scattering problem with rearrangement in coordinate representation, focusing on energies where only two-fragment bound reaction channels are open. By decomposing the total wave function into channel components, the authors derive Faddeev-type nonsingular integ…
Generated abstract The paper studies a singularly perturbed initial value problem for a system of quasilinear first order equations with a common principal part, where the initial condition for one component is scaled by a parameter dependent on the small parameter. Under sign and growth assumptions on the nonlinear t…
Generated abstract This paper studies the one-dimensional reflection of a rarefaction wave from a rigid wall in the products of an instantaneous explosion in a constant gravitational field, for a gas obeying a polytropic equation of state. Starting from the general solution of the gas-dynamic equations for discrete ad…
Generated abstract This note interprets Tikhonov regularization for ill-posed statistical optimization problems in control systems from an information-theoretic viewpoint. For a Gaussian signal corrupted by additive Gaussian noise, the authors formulate a regularized mean-square filtering problem and show that the res…
Generated abstract The paper studies growth scales for entire functions of several complex variables through the majorant of the function and the geometry of associated convex or quasiconvex functions. It analyzes Goldberg-type orders and shows how they correspond to scales built from homogeneous logarithmically conve…
Generated abstract The paper introduces two characteristics of probability distributions, called the r-center and r-spread, defined through integrals of the imaginary and real parts of the logarithm of the characteristic function. It develops their basic properties, including behavior under scaling and reflection, add…
Generated abstract The paper studies a continuous function of three variables, vanishing outside a ball, through three notions of variation defined by the structure, planar sections, and area of its level sets. It proves comparison estimates for partial variations over disjoint balls and a geometric lemma relating loc…
Generated abstract This paper analyzes atmospheric wind dynamics on Venus using Doppler measurements from the descent vehicles of the Venera 5 and Venera 6 automatic interplanetary stations. Radial velocity variations during parachute descent are processed after accounting for planetary motion, parachuting velocity, o…
Generated abstract The paper studies entire functions of several complex variables that are real on real vectors and transform a vector of independent standard normal variables into a standard normal variable. It strengthens a result of Linnik and Eidlin by proving that any such function is either a normalized real li…
Generated abstract The paper examines special noncovariant coordinate conditions in general relativity defined by setting selected components of gravitational energy, momentum pseudotensors to zero. It argues that, although such conditions appear nonlinear and unusual, they are satisfied by several exact solutions and…
Generated abstract The paper studies the computation of saddle points for twice continuously differentiable functions that are strictly convex in one variable and strictly concave in the other, when both variables are constrained to bounded polyhedra. It characterizes saddle points by the vanishing of distances from t…
Generated abstract The paper treats the three-dimensional equilibrium problem for an elastic body bounded by two parallel planes and subjected to arbitrary surface and body forces. It reduces the loading to components satisfying integral balance conditions, formulates auxiliary equations for polynomial displacement te…
Generated abstract This paper studies nonlinear interaction in resonant conservative Hamiltonian systems with multiple degrees of freedom, assuming a single resonance relation among distinct linear frequencies. Using a polynomial canonical transformation, the authors reduce the Hamiltonian to a resonant normal form up…
Generated abstract The paper studies when a commutative associative ring without nonzero nilpotents and with torsion-free additive group can be equipped with partial orders compatible with multiplication, especially orders stronger than those of partially ordered rings of functions. It introduces u-cones and phi-cones…
Generated abstract This paper derives an analytical attitude control law for a spatial rotational maneuver of a flying vehicle, formulated as a single rotation about a prescribed axis rather than as three successive body-axis rotations. Using Euler equations, inertia transformations, and the principle of extensive con…
Generated abstract Observations of the pulsar CP 0808 at 60 to 110 MHz with the Pushchino DKR-1000 radio telescope are analyzed to characterize its meter-wave radio emission and short-period subpulse behavior. The study finds that pulses consist of one to three subpulses separated on average by 53.6 ms, forming a clas…
Generated abstract This paper analyzes angular light scattering indicatrices measured in transparent waters of the northern Indian Ocean to test whether differences among seawater scattering curves can be explained solely by varying proportions of molecular and suspended-particle scattering. Using 163 measurements, th…
Generated abstract This paper examines the resolving power of three-dimensional holograms recorded in volume photosensitive media, where the usual aperture-based treatment of planar holograms is insufficient. Using the kinematic theory of diffraction by three-dimensional periodic structures, the authors derive an inte…
Generated abstract The paper develops a general treatment of spin motion for particles in storage rings or accelerators with arbitrary electromagnetic fields, assuming the existence of a closed equilibrium orbit. It gives a physically transparent derivation of the spin precession equation including Thomas rotation, th…
Generated abstract The paper studies the existence of homeomorphic plane mappings between simply connected domains that solve first order elliptic systems whose ellipticity may degenerate. It develops an approximation approach, replacing the degenerate system or the domain by nondegenerate ones and passing to a limit …
Generated abstract The paper refines earlier calculations of the microwave and far-infrared rotational absorption spectrum of the water-vapor dimer, using a linear rigid dimer model with hindered internal rotation about the hydrogen bond. Replacing the harmonic approximation for the torsional barrier by a cosine poten…
Generated abstract This paper studies finite groups that are not decomposable into a uniform product of their Sylow subgroups while all proper subgroups are so decomposable, termed groups of type CS. Using skew products of cyclic groups with finite fields and presentations by generators and relations, it develops stru…
Generated abstract The paper studies oscillation of vector-valued solutions of second-order differential equations in finite-dimensional Euclidean and real Hilbert spaces, proposing a coordinate-invariant definition based on zeros of all scalar projections. For equations of the form u''(t) + F(t,u(t))u(t)/||u(t)|| = 0…
Generated abstract This paper studies whether algorithmically unsolvable mass problems can nevertheless be solved correctly on almost all instances along infinitely many initial segments. For recursively enumerable sets, it proves that for every positive error bound there is a general recursive predicate agreeing with…
Generated abstract This paper describes the design and testing of a pulsed high-voltage generator using purified water as the dielectric for producing short, intense pulses of fast electrons and hard bremsstrahlung X-rays. The apparatus combines a Marx pulse circuit with a coaxial water-dielectric storage line, which …
Generated abstract This paper examines whether weak magnetic fields can grow in a medium with acoustic turbulence, using the small parameter provided by the short correlation time of acoustic fluctuations. Treating the velocity field statistically and applying perturbation theory to the magnetic induction equation, it…
Generated abstract This paper reports measurements of humidity pulsations in the near-surface marine atmosphere during the 1969 Soviet-French expedition in the Mediterranean Sea. Using a low-inertia quartz adsorption humidity sensor connected to digital recording equipment, the study obtained energy spectra under seve…
Generated abstract This paper examines the origin of longitudinal waves observed in 4 to 6 second microseisms recorded in a quiet intracontinental region. Using wave-number decomposition of microseismic fields from a station group near Ust-Kamenogorsk, the study estimates apparent velocities, azimuths, and source loca…
Generated abstract This note studies the Carleman boundary value problem with orientation reversing shift on the boundary of a finite multiply connected domain. It constructs a special conformal welding function that maps the problem to a Riemann boundary value problem on a contour consisting of open arcs, using integ…
Generated abstract This paper examines how solar wind parameters relate to the periods of steady micropulsations in the Earth’s electromagnetic field. Measurements of solar wind ion flux from Venera 2, Venera 4, Venera 5, Venera 6, and IMP 1 are compared with simultaneous telluric current observations from several geo…
Generated abstract This paper addresses whether infinite rings, in particular countable rings, can be endowed with a Hausdorff nondiscrete topology compatible with ring operations. It proves a criterion for such a topologization with a prescribed open ideal, formulated in terms of avoiding roots of finitely many polyn…
Generated abstract The paper studies mixed boundary value problems for partial differential equations in which part of the boundary carries nonstationary conditions, reducing them to Cauchy problems for evolution equations in orthogonal sums of Hilbert spaces. It constructs an operator generated by an elliptic boundar…
Generated abstract This note studies the asymptotic order, in the number of nodes, of the degree of exactness of Chebyshev’s equal-weight quadrature formula for a nonnegative summable weight on a finite interval. Using methods associated with Bernstein and Akhiezer, it derives local estimates from the behavior of the …
Generated abstract The paper treats the Milne problem for linearly polarized radiation in a semi-infinite plane atmosphere with Rayleigh scattering, constant total flux, and no incident external radiation at the boundary. It formulates the transfer equation for two polarization components, derives moment equations and…
Generated abstract The paper studies Fourier expansions of functions in Besov classes with respect to an arbitrary complete orthonormal system of eigenfunctions of a nonnegative self-adjoint extension of the Laplace operator in a star-shaped domain. It establishes estimates for dyadic blocks of Fourier coefficients of…
Generated abstract This paper studies self-similar dynamic plane-strain elasticity problems for an infinite isotropic body containing a rectilinear crack that begins at a point source and expands at constant subsonic velocity. Using displacement potentials and the Smirnov-Sobolev transformation, the boundary condition…
Generated abstract The paper examines whether impurity ions of higher charge in a plasma carrying a strong electric current can attain directed energies sufficient for nuclear synthesis with the principal ions. Using Gurevich’s two stationary states of impurity ion motion under Coulomb conductivity, it estimates react…
