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Pletner Yurii Dmitrievich

Publications in Math-Net.Ru

  1. On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation

    Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  641–647
  2. On quasi-steady processes in conducting nondispersive media

    Zh. Vychisl. Mat. Mat. Fiz., 40:8 (2000),  1237–1249
  3. Oscillations in rotating stratified fluid excited by a plane traveling wave at the bottom

    Zh. Vychisl. Mat. Mat. Fiz., 40:1 (2000),  136–143
  4. Long-time asymptotics of an initial-boundary value problem for the two-dimensional Sobolev equation

    Differ. Uravn., 35:10 (1999),  1421–1425
  5. Asymptotics of the fundamental solution to the equation of two-dimensional internal waves and quasi-front phenomenon

    Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999),  1552–1557
  6. Unsteady waves in anisotropic dispersive media

    Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999),  1006–1022
  7. Dirichlet problem for the ion acoustic wave equation in two dimensions

    Zh. Vychisl. Mat. Mat. Fiz., 38:10 (1998),  1743–1750
  8. Oscillation of a set of curvilinear segments in a stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1583–1591
  9. Solvability of the transient analogue of the Lavrent'ev–Sedov–Keldysh problem for the ion-acoustic wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 37:12 (1997),  1520–1525
  10. Unsteady waves in a stratified fluid excited by the variation of the normal velocity component on a line segment

    Zh. Vychisl. Mat. Mat. Fiz., 37:9 (1997),  1112–1121
  11. Oscillation of a two-sided line segment in a stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  968–974
  12. On the solvability of an initial-boundary value problem for the internal-wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 37:5 (1997),  617–620
  13. Nonclassical initial-boundary value problems in the theory of unsteady internal waves

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  80–82
  14. The solvability of an external initial and boundary-value problem for the ion-acoustic wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996),  180–189
  15. On a two-dimensional equation of gravity-gyroscopic waves

    Zh. Vychisl. Mat. Mat. Fiz., 36:2 (1996),  111–118
  16. The theory of non-stationary ion-acoustic waves in a non-magnetized plasma

    Zh. Vychisl. Mat. Mat. Fiz., 35:2 (1995),  303–309
  17. On partial differential equations that reduce to new classes of special functions

    Dokl. Akad. Nauk, 337:1 (1994),  17–19
  18. New classes of generalized analytic functions

    Dokl. Akad. Nauk, 334:1 (1994),  26–28
  19. Explicit solution of an initial-boundary value problem of the theory of ion-acoustic waves in a non-magnetized plasma and its asymptotic form

    Zh. Vychisl. Mat. Mat. Fiz., 34:8-9 (1994),  1323–1330
  20. The propagation of a quasifront in a stratified rotating fluid

    Zh. Vychisl. Mat. Mat. Fiz., 34:2 (1994),  310–314
  21. The behaviour of the solution of the Cauchy problem for the gravitational-gyroscopic wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 34:1 (1994),  78–87
  22. The fundamental solution of the two-dimensional operator of gravitational-gyroscopic waves, and some initial-boundary value problems

    Dokl. Akad. Nauk, 330:5 (1993),  562–564
  23. Fundamental solutions of Sobolev-type operators and some initial boundary-value problems

    Zh. Vychisl. Mat. Mat. Fiz., 32:12 (1992),  1885–1899
  24. The oscillations of a vertical column of stratified liquid with a free surface

    Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1814–1820
  25. The properties of the solutions of some partial differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 32:6 (1992),  890–903
  26. The construction of the solutions of some partial differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 32:5 (1992),  742–757
  27. Representation of the solutions of two-dimensional analogues of the Sobolev equation by generalized Taylor and Laurent series

    Zh. Vychisl. Mat. Mat. Fiz., 32:1 (1992),  59–70
  28. Fundamental solutions of operators of Sobolev type

    Dokl. Akad. Nauk SSSR, 321:6 (1991),  1155–1157
  29. Asymptotics of the fundamental solution of the equation of internal waves as $t\to\infty$ and the quasifront phenomenon

    Dokl. Akad. Nauk SSSR, 319:3 (1991),  604–607
  30. Some properties of solutions of an equation of gravitational-gyroscopic waves

    Dokl. Akad. Nauk SSSR, 317:3 (1991),  570–572
  31. The properties of the solutions of equations similar to the two-dimensional Sobolev equation

    Zh. Vychisl. Mat. Mat. Fiz., 31:10 (1991),  1512–1525
  32. On the problem of the oscillations of a rotating stratified fluid excited by a plane two-sided disc

    Zh. Vychisl. Mat. Mat. Fiz., 31:5 (1991),  745–753
  33. The fundamental solution of the equation of internal waves and some initial-boundary value problems

    Zh. Vychisl. Mat. Mat. Fiz., 31:4 (1991),  592–604
  34. Representation of solutions of the two-dimensional gravitational-gyroscopic wave equation by generalized Taylor and Laurent series

    Zh. Vychisl. Mat. Mat. Fiz., 30:11 (1990),  1728–1740
  35. Structural properties of the solutions of the gravitational-gyroscopic wave equation and the explicit solution of a problem in the dynamics of a stratified rotating fluid

    Zh. Vychisl. Mat. Mat. Fiz., 30:10 (1990),  1513–1525
  36. The mathematical structure of the solution of the equation $(\partial^2/\partial t^2)[u_{xx}-\beta^2u]+\omega^2_0u_{xx}=0$ and problems connected with it

    Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990),  868–882
  37. Vibrations of a flat disk at the interface between two stratified liquids

    Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990),  736–750
  38. On the vibrations of a two-sided disc in a stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990),  278–290
  39. The problem of the vibrations of a rotating stratified liquid excited by a planar disc

    Zh. Vychisl. Mat. Mat. Fiz., 29:3 (1989),  464–470
  40. Gyroscopic gravitational waves caused by the oscillations of a straight section

    Zh. Vychisl. Mat. Mat. Fiz., 28:4 (1988),  524–533
  41. The problem of the oscillations of a flat disc in a stratified liquid

    Zh. Vychisl. Mat. Mat. Fiz., 28:1 (1988),  63–71
  42. On the Dirichlet problem for the gravitational-gyroscopic wave equation

    Dokl. Akad. Nauk SSSR, 295:2 (1987),  272–275
  43. Solvability of an exterior initial-boundary value problem for the gravitational gyroscopic wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987),  711–719
  44. The gravitational-gyroscopic wave equation: The angular potential and its applications

    Zh. Vychisl. Mat. Mat. Fiz., 27:1 (1987),  102–113
  45. An initial-boundary value problem for the gravitational-gyroscopic wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1689–1696

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