## Volume 542,   Issue 51,   2002

• Korobov V.I., Smortsova T.I. The solution of the Bellmann equation for the steering problem and its connection with the moment problem , P. 3-12 [ Abstract ]

• Boichuk I.P., Tarapov I.E. Application of a momentum integral model to studying viscous liquid motion through deforming tubes , P.13-18 [ Abstract ]

• Gassan Y. S. Boundary Equations in Dynamic Problems for Thin the Piecwise Homogeneous Plates , P. 19-27 [ Abstract ]

• Grishin A.F., Poedintseva I.V. The integrals with kernels including logarithms , P. 28-34 [ Abstract ]

• Dyukarev Yu. M. The principle of maximum for Stieltjes pairs of analytical matrix-valued functions , P.35-41 [ Abstract ]

• Protcenko V.S., Popova N.A. The Dirichlet problem for the Laplace equation in the semispace with the cylindrical cavity , P.42-51 [ Abstract ]

• Shahadeh Assadi About some classes of non-stationary curves generated by nonlinear operator equations in Hilbert spaces , P.52-58 [ Abstract ]

• Varyanitza L.A., Rezunenko V.A. Regularization of the electrostatic problem on the infinite cone and two spherical segments , P.59-68 [ Abstract ]

• Lysenko Y.V., Ovcharenko I.E., Ugrinovskiy R. To the Problem of Effective Inversion of Positive-Definite Hankel-Hadamar , P.69-72 [ Abstract ]

• Parfyonova N.D. Meromorphic almost periodic functions and their continuous extension to the Bohr's compactification of the strip , P.73-84 [ Abstract ]

• Lutsenko A.V., Sklyar E.V.On analytical representation of classes of controls solving the problems of controllability and stabilization , P.85-95 [ Abstract ]

• Udodova O.I. Holomorphic functions in a tube domain, which are almost periodic , P.96-105 [ Abstract ]

• Dumina O. A. Boundary equations in the dynamic problem for thermoelastic media with mixed boundary conditions , P.106-117 [ Abstract ]

• Vasyl'kiv Ya.V., Protsyk Yu.S.Canonical Weierstrass integral for subharmonic functions of infinite order , P.118-130 [ Abstract ]

• Ievlev I.I. The dynamics of the plate which is interacting with the viscid incompressible liquid , P.131-135 [ Abstract ]

• Marchenko I.I. On a question of Petrenko for entire functions of two complex variables , P.136-138 [ Abstract ]

• Zheleznyakova E.Yu. The stability of system of two couple stochastic oscillators , P.139-144 [ Abstract ]

• Gavrylyako V.M., Sokolov A.V. Numerical Solution of Nonsmooth Equations in Optimal Speed Problem , P.145-148 [ Abstract ]

• Sokhin A.S. On some nonlinear sãstem of equations of Burger type , P.149-154 [ Abstract ]

• Bozhydarnyk V.V. The strength of loosed by cracks anisotropic plates with antisym-metric strengthened boundary , P.155-170 [ Abstract ]

Korobov V.I., Smortsova T.I. The solution of the Bellmann equation for the steering problem and its connection with the moment problem P. 3-12.

In the present paper the natural method to solve the Bellmann equation as the partial differential equation of the first order is proposed. The constructive solution of the mentioned equation for the steering problem for the canonical system of the $n$-th order is presented. The connection of the proposed method to solve the Bellmann equation and the moment problem is obtained. 2000 Mathematics Subject Classification 49L20, 93C05. Top of the page.

Boichuk I.P., Tarapov I.E. Application of a momentum integral model to studying viscous liquid motion through deforming tubes , P. 13-18.
Gassan Y. S. Boundary Equations in Dynamic Problems for Thin the Piecwise Homogeneous Plates , P.19-27.
Grishin A.F., Poedintseva I.V. The integrals with kernels including logarithms , P. 28-34
Dyukarev Yu. M. The principle of maximum for Stieltjes pairs of analytical matrix-valued functions , P.35-41.
Protcenko V.S., Popova N.A.The Dirichlet problem for the Laplace equation in the semispace with the cylindrical cavity , P.42-51.
Shahadeh Assadi About some classes of non-stationary curves generated by nonlinear operator equations in Hilbert spaces , P.52-58.
Varyanitza L.A., Rezunenko V.A. Regularization of the electrostatic problem on the infinite cone and two spherical segments , P.59-68.
Lysenko Y.V., Ovcharenko I.E., Ugrinovskiy R. To the Problem of Effective Inversion of Positive-Definite Hankel-Hadamar , P.69-72.
Parfyonova N.D. Meromorphic almost periodic functions and their continuous extension to the Bohr's compactification of the strip , P.73-84.
Lutsenko A.V., Sklyar E.V. On analytical representation of classes of controls solving the problems of controllability and stabilization , P.85-95.
Udodova O.I. Holomorphic functions in a tube domain, which are almost periodic , P.96-105.
Dumina O. A. Boundary equations in the dynamic problem for thermoelastic media with mixed boundary conditions , P.106-117.
Vasyl'kiv Ya.V., Protsyk Yu.S.Canonical Weierstrass integral for subharmonic functions of infinite order , P.118-130.
Ievlev I.I. The dynamics of the plate which is interacting with the viscid incompressible liquid , P.131-135.
Marchenko I.I. On a question of Petrenko for entire functions of two complex variables , P.136-138.
Zheleznyakova E.Yu. The stability of system of two couple stochastic oscillators , P.139-144.
Gavrylyako V.M., Sokolov A.V. Numerical Solution of Nonsmooth Equations in Optimal Speed Problem , P.145-148.
Sokhin A.S. On some nonlinear system of equations of Burger type , P.149-154.
Bozhydarnyk V.V. The strength of loosed by cracks anisotropic plates with antisym-metric strengthened boundary , P.155-170.
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Visnyk Kharkivs'koho natsional'noho universytetu imeni V. N. Karazina, Seriya «Matematyka, prykladna matematyka i mekhanika»

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