"Vestnik St. Petersburg University. Mathematics"

Series "Mathematics, Mechanics, Astronomy", Issue 2, 2006

CONTENTS
Mathematics
Sergey Mikhailovich Ermakov (dedicated to his 75th birthday) 3
Abakarov A.Sh., Sushkov Yu.A. The polynomial algorithm for finding optimal spanning hypergrapht 7
Bart A.G. Non-slackness matrices structures 14
Ermakov S.M., Lebedev E.A. On the increasing of efficiency of Monte Carlo methods in financial mathematics problems 23
Krivulin N.K. Eigenvalues and eigenvectors of matrices in idempotent algebra 29
Melas V.B., Staroselsky Yu.M. The maximin efficient designs for the Michaelis—Menten model 41
Ponomareva A.Yu., Tchirkov M.K. On the synthesis of minimal forms for stochastic automata with finitely non-stationary structure 50
Tovstik T.M. Comparison of some statistical properties of quasi-random and pseudo-random sequences 62
Aleksandrov F.I. Batch extraction of additive components of time series by means of the "Caterpillar"-SSA method 71
Kholshevnikov K.V. On a property of coefficients of Legendre polynomials 75
Mechanics
Petr Evgenyevich Tovstik (dedicated to his 70th birthday) 82
Bykov V.G. Stationary modes of motion of an unbalanced rotor with the automatic balancår 90
Laschenov V.K. Cracking of a shell on the cylinder 102
Morozov N.F., Tovstik P.E. On the stability of the compressed rod with the restrictions on the deflections 109
Nezderov A.A., Yushkov M.P. Longitudinal motion of a car with acceleration 118
Pavilaynen V.Ya., Saykova M.S. Critical parameters of buckling and delamination in a two-layered ring under the thermal load 125
Soltakhanov Sh.Kh., Tverev K.K. On application of the Schouten and Chaplygin equa-tions in the case of a nonstationary constraint 135
Filippov S.B. Frequencies and modes of the infinite cylindrical shell rotating on the rollers 138
Papers 146
Editorial Board of the Complete Journal.
Editor-in-chief:   L.A.Verbitskaya.
Associate editors:   I.V.Murin, V.N.Troyan.
Editorial board:   N.A.Belyaev, S.G.Inge-Vechtomov, A.G.Morachevsky, V.T.Ryazanov, R.V.Svetlov, L.E.Smirnov, P.E.Tovstik, I.Ya.Froyanov, T.N.Peskova.
Secretary of the board: A.V.Suvorov.
Editorial Board of the Series "Mathematics, Mechanics and Astronomy".
Editor-in-chief :   P.E.Tovstik
Associate editor:   N.N.Petrov
Secretary of the board:   T.V.Voloshinova
Editorial board:   T.A.Agekyan, S.M.Ermakov, G.A.Leonov, N.F.Morozov, I.P.Mysovskikh, V.S.Novoselov, L.A.Petrosyan, V.A.Pliss, N.N.Uraltseva, B.V.Filippov, K.V.Kholshevnikov.
Address of the editorial board:  198504, Peterhof, Universitetsky pr., 28.
Translation of articles for a journal “Vestnik St. Petersburg University Mathematics” is performed by E.A.Gurmuzova.
Editor T.V.Semenova.   Technical editor A.V.Borshcheva
Phones: 328-97-84, 323-76-30, 328-21-64. E-mail: peterhof@rambler.ru