**Series 1**

**MATHEMATICS. MECHANICS. ASTRONOMY**

Volume 1 (59), Issue 4, 2014

№ |
Contents |
Page |

**MATHEMATICS** |

1 |
On the dependence of initial values of the maximal interval of existence of a solution of a differential equation
*Bibikov Yu.N., Pliss V.A.* |
511-516 |

2 |
Monte Carlo method and asynchronous iterations
*Dmytriev A.V., Ermakov S.M.* |
517-528 |

3 |
Bernoully trial and generalizations of Fibonacci numbers
*Ivanov O.A.* |
529-532 |

4 |
Evaluation of asymptotic characteristics of a stochastic dynamical system with event synchronization
*Krivulin N.K., Nev O.A.* |
533-543 |

5 |
The estimates of Lyapunov dimension in attractors of generalized Rossler systems
*Leonov G.A., Alekseeva T.A.* |
544-550 |

6 |
On the errors of stochastic solution for equations of Boltzmann type: exact upper bounds
*Nekrutkin V.V., Sovetkin E.A.* |
551-560 |

7 |
Optimization of generalized finite non-stationary minimax fuzzy automata
*Ponomareva A.Yu., Chirkov M.K.* |
561-570 |

8 |
Finding a contour with the smallest mean expenses in a graph with variable lengths of arcs. The simplest case
*Romanovsky J.V.* |
571-578 |

**MECHANICS** |

9 |
Dynamic of a statically unbalanced rotor with eccentric ball autobalancer
*Bykov V.G., Kovachev A. S.* |
579-588 |

10 |
The buckling of the transversal-isotropic spherical segment under influence of the load with a flat base
*Belyaev A.K.* |
589-598 |

11 |
Free vibrations of anisotropic beam
*Tovstik P. E., Tovstik T. P.* |
599-608 |

12 |
On relationship between the control theory and nonholonomic mechanics
*Yushkov M.P., Zegzhda S.A., Soltakhanov Sh.Kh., Pashkina A.A.* |
609-618 |

13 |
The use of principal coordinates in the problem of oscillation suppresion of a trolley with two pendulums
*Shatrov E.A.* |
619-623 |

14 |
Motion of a dynamically symmetric paraboloid on a perfectly rough plane
*Kuleshov A. S., Chernyakov G.A.* |
624-631 |

**ASTRONOMY** |

15 |
The formation of polarized lines: factorization of the hanle phase matrix and vЄ law in a most general form
*Grachev S. I.* |
632-639 |

16 |
On weighting of astrometric VLBI observations
*Malkin Z.M.* |
640-649 |

17 |
Using gpu for modelling of self-gravitating systems
*Sivkov-Enin I.A.* |
650-658 |

18 |
Fluctuations of the spatial galaxy distribution in the COSMOS deep survey at gigaparsec scales
*Shirokov S. I., Tekhanovich D. I., Baryshev Yu.V.* |
659-669 |

**CHRONICLE** |

19 |
On the 80th anniversary of M.P.Yushkov |
670-673 |