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Mel'nikov Viktor Kuz'mich

Publications in Math-Net.Ru

  1. Structure of Equations Solvable by the Inverse Scattering Transform for the Schrödinger Operator

    TMF, 134:1 (2003),  110–123
  2. Integrable and nonintegrable cases of the Lax equations with a source

    TMF, 99:3 (1994),  471–477
  3. Some new nonlinear evolution equations integrable by the inverse problem method

    Mat. Sb. (N.S.), 121(163):4(8) (1983),  469–498
  4. Conservation laws for a class of systems of nonlinear evolution equations

    Funktsional. Anal. i Prilozhen., 15:1 (1981),  43–60
  5. On equations generated by an operator relation

    Mat. Sb. (N.S.), 108(150):3 (1979),  378–392
  6. On the existence of doubly asymptotic trajectories

    Dokl. Akad. Nauk SSSR, 211:5 (1973),  1053–1056
  7. A certain family of conditionally periodic solutions of a Hamiltonian system

    Dokl. Akad. Nauk SSSR, 181:3 (1968),  546–549
  8. On the behavior of the trajectories of a class of dynamical systems

    Mat. Sb. (N.S.), 73(115):4 (1967),  535–563
  9. On certain cases of conservation of almost periodic motions with a small change of the Hamiltonian function

    Dokl. Akad. Nauk SSSR, 165:6 (1965),  1245–1248
  10. The lines of force of a magnetic field produced by helical currents coiling about a tore

    Dokl. Akad. Nauk SSSR, 149:5 (1963),  1056–1059
  11. Qualitative description of strong resonance in a nonlinear system

    Dokl. Akad. Nauk SSSR, 148:6 (1963),  1257–1260
  12. On the stability of a center for time-periodic perturbations

    Tr. Mosk. Mat. Obs., 12 (1963),  3–52
  13. Lines of force of a magnetic field

    Dokl. Akad. Nauk SSSR, 144:4 (1962),  747–750
  14. The behaviour of the trajectories of a system which is close to an autonomous Hamiltonian system

    Dokl. Akad. Nauk SSSR, 142:3 (1962),  542–545
  15. Determination of the capture region for a system close to Hamiltonian

    Dokl. Akad. Nauk SSSR, 139:1 (1961),  31–33
  16. On approximation methods in the inverse problem in the quantum theory of scattering

    Uspekhi Mat. Nauk, 14:4(88) (1959),  121–131
  17. Determination of the region of capture for almost conservative second-order equations

    Mat. Sb. (N.S.), 49(91):4 (1959),  353–380


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