Series 1
MATHEMATICS. MECHANICS. ASTRONOMY

Volume 2 (60), Issue 1, 2015

Contents Page
MATHEMATICS
1 Quasi Monte Carlo integration algorithm with a posteriori error analysis
Antonov A.A.
3-13
2 Mikhlin L. S. Generalized normal forms of ode systems with unperturbed part (x2,±x12n-1)
Basov V.V., Mikhlin L. S.
14-22
3 Perturbations of weakly hyperbolic invariant sets of two-dimension periodic systems
Begun N.A.
23-33
4 Some properties of exact ruin probability for Erlang-distributed claims
Vallander S. S.
34-36
5 On C1-equivalence of essentially nonlinear system of differential equations near the asymptotically stable equilibrium point
Il’in Yu.A.
37-47
6 An analogue of the F?-scheme for discrete distributions
Nevzorov V.B.
48-53
7 On a finite time interval stability for the one-dimensional microwave heating problem
Reitmann V., Skopinov S.N.
54-59
8 On probabilities of moderate deviations for combinatorial sums
Frolov A.N.
60-67
9 The theorem of equivalence for singular L-optimal designs
Shpilev P.V.
68-74
MECHANICS
10 Rheology of elastic-viscous aging media
Arutyunyan R.A.
75-83
11 Transonic flow around the airfoil with aileron at a positive attack angle
Babarykin K.V.
84-90
12 Deformations of the orthotropic spherical layer under normal pressure
Bauer S.M., Smirnov A. L.
91-97
13 Semi-inverse method for the solution of the threedimensional problem of hypersonic flow past a thin wing
Bogatko V. I., Kolton G.A., Potekhina E.A.
98-105
14 Fracture mechanism of tungsten as a result of heat loading when by plasma jet impact
Voronin A.V., Semenov B.N., Sudenkov Yu.V.
106-111
15 Localization in Bernoulli-Euler beam on inhomogeneous elastic foundation
Indeitsev D.A., Kuklin T. S., Mochalova Yu.A.
112-122
16 The problem concerning the guiding center movement in the superposition of dipole magnetic field and uniform magnetic field
Kolesnikov E.K., Klyushnicov G.N.
123-134
ASTRONOMY
17 Solar radiation pressure effects on asteroid motions, including near-Earth objects
Martyusheva A.A., Petrov N.A., Polyakhova E.N.
135-147
18 Prediction of possible collisions of asteroid Apophis after refinement of its orbit
Sokolov L. L., Kuteeva G.A
148-156
19 On the gravitational potential of a segment of a sphere
Kholshevnikov K.V., Shaidulin V. Sh.
157-163
CHRONICLE
20 On the 70th anniversary of A. I. Shepelyavy 164-165
21 In memory Mikhail Konstantinovich Chirkov 166-167
22 Sessions of Section of the House of scientists of the Russian Academy of Sciences on the theoretical mechanics of prof. N. N. Poljakhov November 26, 2014 122