COLLECTIVE VOLUME «CONTEMPORARY PROBLEMS OF MATHEMATICS, MECHANICS AND COMPUTING SCIENCES»
Two collective volumes have been issued:
«Sovremennyje problemy matematiki, mechaniki i informatiki» (papers in Ukrainian and Russian) «Contemporary problems of mathematics, mechanics and computing sciences»
Ñontemporary problems of mathematics, mechanics and computing sciences. / N.N.Kizilova, G.N.Zholtkevych (eds). Apostrof, Kharkov. 2011. 396 p.
ISBN 978-966-2579-93-5
ÑONTENTS
MECHANICS Avramenko O. , Naradovyy V. Stability of wave-packets in the two-layer fluid with free surface and rigid bottom .... 5
Burlayenko V.N., T.Sadowski, S.A. Nazarenko Numerical modeling of dynamics of sandwich plates with partially damaged facesheet-to-core interface ........................... 13
Chekmareva O.M., Chekmarev I.B. Problems of uniformly valid asymptotics for the Boltzmann equation in the hydrodynamical limit ........................... 26
Dyyak ².²., Yashchuk Yu.O. Investigation of stress error estimator in elasticity problems ........................... 33
Fedorov V. A. Stationary solution stability for the problem of creep in a rod system ........................... 44
Feodosyev S.B., Gospodarev I.A., Grishaev V.I., Kotlyar O.V., Kravchenko K.V., Manzhelii E.V., Syrkin E.S., Yeremenko A.V., Galetich I.K. Low temperature peculiarities of quasiparticle spectra of disordered solid solutions ........................... 51
Kizilova N., Hamadiche M., Gad-el-Hak M. Advanced composite materials for suppressing flow-induced vibrations in distensible tubes ........................... 63
Kolesnik D.N., Shamrovsky A.D. Study of after buckling deformations on the example of composite rods structures ........................... 74
Olevs’kyy V.I. The approximate analytical method for calculation of nonlinear deformation of shells based on 2-D Pade approximants ........................... 82
Patsegon N.F., Popova L.N. Self-organization in the magnetic fluids ........................... 89
Potseluiev S.I., Patsegon N.F. Parametric instability of the free surface of nonlinear magnetizable fluid ............ 104
Romashov Yu.V., Sobol V.N. Mathematical formulations and numerical solutions of initional-boundary-value problem of creep theory ........................... 120
Slepicheva M. A. Event-driven simulation of hydrogen adsorption by carbon nanotubes arrays with different structures ........................... 130
Szekers A., Kizilova N.N., Petrov N., Samit R. Biothermohydromechanics: theory and applications ........................... 136
Tropina A.A. Modeling of nonequilibrium plasma assisted combustion ........................... 147
Zhuk Y.A.,Vasilyeva L.Y. Thermomechanical processes with acoount of microstructural transformations in the thermally loaded disk ........................... 160
COMPUTING SCIENCES Kruchkovsky V.V., Hodakov D.V. Major objectives for formalization of preparation processes and collective expert decision making ........................... 170
Nikitchenko M.S. Intensional aspects of main mathematical notions ........................... 183
Pavlov P.A. The optimality of software resources structuring through the pipeline distributed processing of competitive cooperative processes ........................... 192
MATHEMATICS Bessmertniy M.F., Boltonosov A.I. Solutions of Maxwell equations of special kind. charge, spin and mass in classical electrodynamics ........................... 204
Gefter S., Stulova T., Verbinina K. Formal power series and implicit linear differential equation in a Banach space ....................................................................................... 213
Gushchin I.V., Belkin E.V. Modeling of noise influence on the formation of spatial structures in the Proctor-Sivashinsky model ........................... 226
Kovtonyuk D., Petkov I., Ryazanov V. The boundary behavior of solutions to the Beltrami equations ............. 232
Lawrencenko S.À. Homology of polyhedra and quadrangulations of surfaces ........................... 242
Litvin Î.N., Lobanova L.S. About construction of exact solutions of boundary value problems with the given class of differentiability in domains of complex shape ......................................... 254
Litvin Î.N., Lobanova L.S., Nefedova I.V. About construction of polynomials ........................... 262
Lytvyn O. M., Nechuiviter O.P. 3D Fourier coefficients and spline-interflatation ......................... 272
Makarichev V.A. The function mup_s(x) and its applications to the theory of generalized Taylor series, approximation theory and wavelet theory ........................... 279
Malykhina T.V. The comparison of the results of different electromagnetic process models ........................... 288
Novikov O. O., Rovenska O. G. Approximation of analytical functions by r-repeated de la Vallee Poussin sums ........................... 295
Olevs’ka Y.B. The evaluation of spectrums of integral operators in spaces of functions of several variables and its application ........................... 302
Pignasty O.M. Statisticaltwo-level model of the production process ........................... 312
Popov V.A. On analytic extension of Riemannian manifolds ........................... 323
Popovych Ð. On unitary divisors ........................... 327
Riabykh V.G., Riabykh G.Y. On the distribution of zeros of functions of Bergman space ........................... 336
Rudetsky V. Linear inversive sequence of pseudorandom numbers ........................... 342
Tsiupii S.I. Exponent matrices and their quivers ........................... 351
Tsiupii T.I. Indexes of semiperfect rings ........................... 359
Vakhnenko V.O., Parkes E. J. The inverse scattering method for nonlinear equation describing high-frequency perturbations in a relaxing medium ........................... 364
Zhukov D.A. On infinitesimal MG-deformations of a surface of positive Gaussian curvature with stationarity of normal curvature along the boundary ........................... 377
with properties 
the least deviating from a zero on a segment [-1;1]
of integer numbers