On the single server retrial queue with priority customers

We consider anM ₂/G ₂/1 type queueing system which serves two types of calls. In the case of blocking the first type customers can be queued whereas the second type customers must leave the service area but return after some random period of time to try their luck again. This model is a natural generalization of the classicM ₂/G ₂/1 priority queue with the head-of-theline priority discipline and the classicM/G/1 retrial queue. We carry out an extensive analysis of the system, including existence of the stationary regime, embedded Markov chain, stochastic decomposition, limit theorems under high and low rates of retrials and heavy traffic analysis.Visiting from: Department of Probability, Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia.     

Numerical analysis of the eigenfrequency spectrum of shells of revolution

M. V. Lomonosov Moscow State University, Institute of Mathematical Modeling of Russian Academy of Sciences, Moscow. Translated from Matematicheskoe Modelirovanie, Published by Moscow University, Moscow, 1993, pp. 19–24.     

Nicolai Nicolaevich Luzin and the Moscow school of the theory of functions

Shortly before the revolution of 1917, four papers written by participants in N. N. Luzin's analysis seminar at Moscow University appeared in the Comptes Rendus of the Paris Academy of Sciences. The publication of these papers--written by A. Ya. Khinchin, D. E. Menshov, P. S. Aleksandrov and M. Ya. Suslin--and Luzin's monograph, The Integral and Trigono-metric Series 1915, marked the emergence of Moscow University as a center of research in the theory of functions of a real variable. This paper describes Luzin's early mathematical education at Moscow University and the three year period he spent abroad (mainly in Paris) where he wrote a series of papers whose results form the core of his influential and widely praised monograph. Finally, we will show how Luzin's ideas formed the basis for the early investigations of a series of young Moscow mathematicians.     

Contrast structures: Theory and applications

M. V. Lomonosov Moscow State University. Translated from Matematicheskoe Modelirovanie, Published by Moscow University, Moscow, 1993, pp. 63–67.     

Development and analysis of a mathematical model of the Earth's upper atmosphere

Tomsk State University. Translated from Matematicheskoe Modelirovanie, Published by Moscow University, Moscow, 1993, pp. 122–138.     

Multigrid method as an accelerating procedure for solving systems of linear algebraic equations with a dissipative matrix

Rostov State University. Translated from Matematicheskoe Modelirovanie, Published by Moscow University, Moscow, 1993, pp. 45–52.     

Majorizing difference schemes for parabolic equations on unstructured grids

Moscow Physico-Technical Institute. Translated from Matematicheskoe Modelirovanie, Published by Moscow University, Moscow, 1993, pp. 105–113.     

The Automorphism Group and the Convex Subgraphs of the Quadratic Forms Graph in Characteristic 2

We determine the automorphism group and the convex subgraphs of the quadratic forms graph Quad(n,q),q even.A. Munemasa: A part of this research was completed during this author's visit at the Institute for System Analysis, Moscow, as a Heizaemon Honda fellow of the Japan Association for Mathematical SciencesD.V. Pasechnik: A part of this research was completed when this author held a position at the Institute for System Analysis, MoscowS.V. Shpectorov: A part of this research was completed during this author's visit at the University of Technology, Eindhoven     

Three-dimensional Yang-Mills-Higgs equations in gauge-invariant variables

A formulation of three-dimensionalSU(2) andSO(1,2) Yang-Mills theories in the gauge-invariant variablesG _ij=tr^* F _i ^* F_j is proposed. It is shown that the tensorG _ij satisfies three-dimensional Einstein equations with simple right-hand side andG _ij playing the role of a metric. This result is generalized to the case of a system of Yang-Mills-Higgs fields.Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 1, pp. 66–75, January, 1993.     

On Problems of Nonlinear Dynamics and Control at Moscow State University

Chronicle

On Problems of Nonlinear Dynamics and Control at Moscow State University     

Seminar on qualitative theory of differential equations at Moscow State University

Chronicle

Seminar on qualitative theory of differential equations at Moscow State University     

On the seminar on qualitative theory of differential equations at Moscow State University

Chronicle

On the seminar on qualitative theory of differential equations at Moscow State University     

On the seminar on qualitative theory of differential equations at Moscow State University

Chronicle

On the seminar on qualitative theory of differential equations at Moscow State University     

On the seminar on qualitative theory of differential equations at Moscow State University

Chronicle

On the seminar on qualitative theory of differential equations at Moscow State University     

On the seminar on qualitative theory of differential equations at Moscow State University

Chronicle

On the seminar on qualitative theory of differential equations at Moscow State University     

Invariant subspaces and generalization of Nagaoka's theorem for the Hubbard model (U=∞)

The hubbard model (U=) on an arbitrary graph of sites in the presence of one hole in the system is considered. A sufficient condition for the absence of invariant subspaces of the space of states with fixed value of thez projection of the total spin that differ in the sets of possible spin configurations is found. A generalization of Nagaoka's results for bilobate graphs is given.Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 1, pp. 160–164, January, 1993.     

On the seminar on problems of nonlinear dynamics and control at Moscow State University

Chronicle

On the seminar on problems of nonlinear dynamics and control at Moscow State University     

On the seminar on problems of nonlinear dynamics and control at Moscow State University

Chronicle

On the seminar on problems of nonlinear dynamics and control at Moscow State University     

On the Seminar on Qualitative Theory of Differential Equations at Moscow State University

Chronicle

On the Seminar on Qualitative Theory of Differential Equations at Moscow State University     

On the seminar on problems of nonlinear dynamics and control at Moscow State University

Chronicle

On the seminar on problems of nonlinear dynamics and control at Moscow State University