Результаты поиска по 'the case of parametric resonance':
Найдено статей: 2
  1. Chujko S.M., Starkova O.V., Kulish P.V.
    Periodic boudary-value problem for Hill's equation in the case of parametric resonance
    Computer Research and Modeling, 2014, v. 6, no. 1, pp. 27-43

    Necessary and sufficient conditions for the existence of solutions of nonlinear nonautonomous periodic problem for Hill’s equation in the case of parametric resonance. A characteristic feature of the task is the need of finding, as desired solution, and the corresponding eigenfunction, which ensures solvability of the periodic problem for Hill’s equation in the case of parametric resonance. To construct solutions of the periodic problem for Hill’s equation and the corresponding eigenfunction in the case of parametric resonance proposed iterative scheme, based on the method of simple iterations with used list-square technics.

    Keywords: nonlinear nonautonomous periodic boudary-value problem, Hill’s equation, the case of parametric resonance, he method of simple iterations.
    Views (last year): 1.
  2. Chujko S.M., Nesmelova (Starkova) O.V., Sysoev D.V.
    Nonlinear boudary value problem in the case of parametric resonance
    Computer Research and Modeling, 2015, v. 7, no. 4, pp. 821-833

    We construct necessary and sufficient conditions for the existence of solution of seminonlinear matrix boundary value problem for a parametric excitation system of ordinary differential equations. The convergent iteration algorithms for the construction of the solutions of the semi-nonlinear matrix boundary value problem for a parametric excitation system differential equations in the critical case have been found. Using the convergent iteration algorithms we expand solution of seminonlinear periodical boundary value problem for a parametric excitation Riccati type equation in the neighborhood of the generating solution. Estimates for the value of residual of the solutions of the seminonlinear periodical boundary value problem for a parametric excitation Riccati type equation are found.

    Keywords: seminonlinear boundary value problem, matrix differential equations, generalized Green’s operator, parametric excitation.
    Views (last year): 2.

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