Once again on the Samoilenko numerical-analytic method of successive periodic approximations

• Date: 2006
• Main Authors: Korol', I. I., Perestyuk, N. A., Король, І. І., Перестюк, М. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3468
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A new numerical-analytic algorithm for the investigation of periodic solutions of nonlinear periodic systems of differential equations dx/dt = A(t) x+ ƒ(t, x) in the critical case is developed. The problem of the existence of solutions and their approximate construction is studied. Estimates for the...