On the existence of an invariant manifold for weakly nonlinear matrix differential equations

• Date: 1996
• Main Authors: Lipchan, V. V., Липчан, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5340
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a system of nonlinear matrix differential equations with small parameter, we establish conditions of the existence of an invariant manifold in terms of the Green function.