Chapter 1. Differential Equations, Control and Stability of Motion
S.A. Abramov, M. Barkatou
On entire solutions of linear difference Equations with
polynomial coefficients ...................................... 7
O. Belemuk, A. Chichurin
Cauchy problem for Abel's differential equation of the
first kind .................................................. 18
E.K. Belotserkovets, M. Wojtowicz, N.P. Petrova
Non-classical Problems of the variational calculus and
best approximation .......................................... 23
D.A. Budzko
Linear stability analysis of equilibrium solutions of the
restricted planar four-body problem ......................... 28
T.N. Chumachenko, A.L. Zuyev
Application of computer algebra systems to the
controllability study of nonlinear systems .................. 37
Y.I. Dejurko, I.N. Klimashevskaya
On the absence of solution with transcendental components
for the systems of differential equations of an arbitrary
finite order ................................................ 47
D.M. Diarova, E.V. Ikhsanov, N.I. Zemtsova
Stability of stationary solutions in the restricted
ten-body problem under the fourth order resonance ........... 51
V.V. Dikussar, A.V. Zubov, N.V. Zubov
Class of (n,k)-equivalence polynomials ...................... 59
V.V. Dikussar, A.V. Zubov, N.V. Zubov
Minimal value of control actions ............................ 61
V.V. Dikussar, A.V. Zubov, N.V. Zubov
Nonstationary matrices with superstability .................. 63
V.V. Dikussar, A.V. Zubov
Optimal control of feed-back systems ........................ 65
V. Dragan
M. Methods of averaging and freezing for some class of
integral-differential inclusions involving iterated
integrals ................................................... 74
S. Fetisova
Normalization of the Hamiltonian in the Newtonian deltoid
problem ..................................................... 80
L. Gadomski, E. Grebenikov, M. Jakubiak, A.N. Prokopenya
On stability of equilibrium solutions in the spatial
circular restricted four-body problem ....................... 82
E.A. Grebenikov, N.I. Zemtsova
On the homographic solutions in the many-body problem,
different from the Wintner ones ............................. 94
E.A. Grebenikov, J.J. Smulsky
Numerical investigation of the Mars orbit evolution in
the time interval of a hundred million years ............... 100
T. Grishenkov, M. Koska, A. Figura
A problem of optimal feedback System synthesis ............. 104
V. Gutu
Dynamics and shadowing in affine impulsive control
systems .................................................... 112
G. Mozhdzher
The study of the third-order differential equation for
the first integral presence using MAPLE system ............. 118
A. Mylläri, T. Mylläri, A. Gusev, S. Vinitsky
Formal integral and caustics in dynamical systems with
two degrees of freedom ..................................... 128
A.N. Prokopenya, J.A. Vera
On stability of equilibrium positions of a Rydberg atom
in the crossed magnetic and electric fields ................ 134
A. Rzeszotko
The Gauss-type method for solving linear differential
equations with CAS Mathematica ............................. 146
V. Hr. Samoylenko, Yu.I. Samoylenko
Asymptotic two phase soliton type solutions to singularly
perturbed Korteweg-de Vries equation ....................... 156
H. Shvychkina
About the third order normal system of differential
equations which has the infinite limit properties of its
solution ................................................... 165
A. Siluszyk
The finiteness of relative equilibria in the restricted
Newtonian four-body problem ................................ 170
D. Ştefãnescu
Computation of bounds for polynomial roots ................. 176
Chapter 2. Modeling the galactic cosmic rays propagation
M.V. Alania, R. Modzelewska, A. Wawrzynczak
Maxwell's equations for the irregular heliolongitudinal
solar wind velocity and consequence for galactic cosmic
ray intensity variations ................................... 186
A. Gil
Rigidity spectrum of the 27-day variation of the galactic
cosmic ray intensity in different epochs of solar
activity ................................................... 196
A. Gil, K. Iskra, R. Modzelewska, M. Siluszyk,
A. Wawrzynczak, M.V. Alania
On air showers of cosmic rays .............................. 203
K. Iskra
Some features of the parallel diffusion coefficient in
different periods of solar activity based on the
measurements of the interplanetary magnetic field
turbulence ................................................. 209
R. Modzelewska
Mathematical model of the 27-day variation of the
galactic cosmic ray intensity including the
heliolongitudinal asymmetry of the solar wind velocity ..... 216
M. Siluszyk, A. Wawrzynczak, M. Alania
Two-dimensional time-dependent mathematical model of
galactic cosmic ray long period variations ................. 226
A. Wawrzynczak
Investigation of the role of the interplanetary magnetic
field turbulence and solar wind velocity on the rigidity
spectrum in course of the Forbush decrease of galactic
cosmic ray intensity: mathematical model ................... 232
Author index .................................................. 242
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