On a certain algebra on a set of graphs

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 793–800, July–August, 1994.     

On a Generalized Class of Minimax Inequalities

Some results on a generalized class of minimax inequalities based on the r–I–G–H-KKM mapping theorems in a G–H-space setting are presented. The r–I–G–H-KKM mappings represent a new class of KKM mappings in G–H-spaces as well as in the interval spaces.     

Singular decomposition of a differential operator on a semiaxis

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 6, pp. 34–48, November–December, 1993.     

Subrings of invariants of a finite group of automorphisms of a Jordan ring

Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 1, pp. 207–211, January–February, 1991.     

Mathematical description of a charged-particle system near a porous membrane

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 1, pp. 114–117, January–February, 1988.     

Uniqueness of a solution to the problem of evolution of a point vortex

Translated from Sibirskii Matematicheskii, Vol. 35, No. 3, pp. 696–701, May–June, 1994.     

Question of well-posedness of a certain inverse problem for a hyperbolic integrodifferential equation

Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 3, pp. 69–77, May–June, 1992.     

On a class of elliptic operators with nonpolynomial degeneracy on a boundary

Rostov-on-Don. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 5, pp. 91–99, September–October, 1992.     

On relative compactness of a set of abstract functions in a scale of Banach spaces

Khabarovsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 2, pp. 135–145, March–April, 1993.     

To the theory of a generalized Cauchy-Riemann system with a singular point

Alma-Ata. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 4, pp. 207–216, July–August, 1993.     

Bounds for the Betti numbers of a level surface of a harmonic polynomial

Institute of Problems for Information Transmission, RAN. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 26, No. 4, pp. 86–88, October–December, 1992.     

Radial Index and Euler Obstruction of a 1-Form on a Singular Variety

A notion of the radial index of an isolated singular point of a 1-form on a singular (real or complex) variety is discussed. For the differential of a function it is related to the Euler characteristic of the Milnor fibre of the function. A connection between the radial index and the local Euler obstruction of a 1-form is described. This gives an expression for the local Euler obstruction of the differential of a function in terms of Euler characteristics of some Milnor fibres.Mathematics Subject Classifications (2000). 14B05, 32S60, 58A10*Partially supported by the DFG-programme “Global methods in complex geometry” (Eb 102/4–2), grants RFBR–04–01–00762, NSh–1972.2003.1     

Estimation for a class of generalized state-space time series models

State-space models with exponential and conjugate exponential family densities are introduced. Examples include Poisson–Gamma, Binomial–Beta, Gamma–Gamma and Normal–Normal processes. Maximum likelihood and quasilikelihood estimators and their properties are discussed. Results from a simulation study for the Poisson–Gamma model are reported.     

Asymptotics of solutions of a second-order linear differential system with a special right-hand side

Odessa. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 2, pp. 89–93, March–April, 1990.     

On the existence of solutions of a class of differential inclusions on a compact set

Irkutsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 24–30, September–October, 1990.     

Mechanical properties of a composite with a carbonized matrix

The effect of reinforcement schemes that differ in the magnitude of the disorientation angle of neighboring filler layers on the mechanical properties of a "carbon-carbon" composite under extension, compression, or bending is shown.Translated from Mekhanika Polimerov, No. 2, pp. 235–240, March–April, 1976.     

Forced vibrations of a shell immersed in a viscous compressible fluid

Institute for Mechanics Problems, Academy of Sciences of the USSR. Moscow Physico-Technological Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 25, No. 4, pp. 93–95, October–December, 1991.     

Interaction of a granular flow with a rectangular obstacle

In this work we studied the cluster formation of particles flowing between two parallel plates hitting a rectangular obstacle. After a short time a cluster is formed on top of the obstacle. Quantification of the cluster formation, shows that the number of clusters decrease with time, whereas the mean and maximum cluster size grow during the simulation. Our results indicate that for the development of clusters the value of the restitution coefficient for particle–particle collisions is most important parameter for this formation process. We found that changes in the value of the restitution parameters for particle–obstacle and particle–wall did not show significant changes in the cluster development.     

On a certain boundary value problem of N. P. Vekua with a piecewise-smooth shift on a piecewise Lyapunov contour

Odessa. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 2, pp. 108–115, March–April, 1992.     

Growth and distribution of zeros of holomorphic mappings of a finite-dimensional space into a Banach space

Khar'kov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 161–171, January–February, 1990.