Nonlinear boudary value problem in the case of parametric resonance

Компьютерные исследования и моделирование

关键词: seminonlinear boundary value problem;    matrix differential equations;    generalized Green’s operator;    parametric excitation;   

DOI  :  10.20537/2076-7633-2015-7-4-821-833

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown