Existence of Small Periodic Solutions of Nonlinear Systems of Ordinary Differential Equations

• Date: 2001
• Main Authors: Terekhin, M. T., Терехин, М. Т.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4289
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the case where conditions for the existence of a nonzero periodic solution of a system of ordinary differential equations are determined by the properties of elements of the matrix of linear approximation and the properties of nonlinear terms.