Periodic solutions of a system of differential equations with hysteresis nonlinearity in the presence of eigenvalue zero

• Date: 2018
• Main Authors: Yevstafyeva, V. V., Евстафьева, В. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1619
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study an $n$-order system of ordinary differential equations with a nonlinearity of nonideal-relay-type with hysteresis and an external periodic perturbations. We consider the existence of solutions with periods equal or multiple to the period of the external perturbation and two points of switch...