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

• Datum: 2006
• Hauptverfasser: Korol', I. I., Perestyuk, N. A., Король, І. І., Перестюк, М. О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3468
• Назва журналу: 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...