Mathematics |
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1996, No. 2
L.M. Berkovich
Brief notice, devoted life and scientific activity of the largest mathematician of Czechoslovakia of the XXth century Otakar Boruvka (1899-1995).
L.M. Berkovich, S.Y. Popov
GROUP ANALYSIS OF THE ORDINARY DIFFERENTIAL EQUATIONS OF THE ORDER GREATER THEN TWO
This paper deals with three strategies of integration of nth order ordinary differential equation, which admits r parameter Lie group of point symmetries. These strategies were proposed by Lie, but at present they are not well known. It is shown how the structure of Lie group of point symmetries is connected with the integrability conditions of a differential equation.
J.E. Kim
OPERATOR OF TENSOR PRODUCT ON LORENTZ-ZYGMUND SPACES
In this paper we prove for Lorentz Zygmund spaces Lp,α,q the analogue of the well known theorem of R.O`Neil. Finally we stady multiplicator of Lp,α,q concerning to projective tensor product.
A.N. Panov
It is proved that every Poisson bracket with more than two arguments locally coinsides with jacobian of some group of variables. The results are applied to Sklyanin brackets.
O.P. Filatov
THE CALCULATION OF LIMITS OF MAXIMUM AVERAGES
We consider the problem of calculation of limits of maximum averages related to the approximating problems for differential inclusions. It is obtained the rst problem can be reduced to more simple problem.
Kh.A. Chikhanov
LAURICHELLA SERIES APPLICATION TO SOLVING ONE MANY-DIMENSIONAL HYPERBOLIC EQUATION
It is build a fundamental solution for the equation LU ≡ (x+y+z) Uxyz+ lUyz+ mUzx+ nUxy=0 and for its many dimensional analog. The Gursa problem was solved. The Laurichella series FA was used in this paper.