Existence of two-point oscillatory solutions of a relay nonautonomous system with a multiple eigenvalue of a real symmetric matrix

• Date: 2021
• Main Authors: Yevstafyeva , V. V., Євстаф’єва , В. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6379
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.925 We study an $n$-dimensional system of ordinary differential equations with a hysteresis type relay nonlinearity and a periodic perturbation function in the right-hand side.It is supposed that the matrix of the system is real and symmetric and it has an eigenvalue of multiplicity two.In t...