The existence of a bifurcation value of a parameter of a system of differential equations with deviating argument

• Date: 1997
• Main Authors: Nasykhova, L. V., Terekhin, M. T., Насыхова, Л. Г., Терехин, М. Т.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5064
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a theorem on the existence of a nonzero periodic solution of a system of differential equations with deviation that depends both on an unknown function and on its derivative. This result is obtained for the case where the matrix of linear approximation has zero and imaginary eigenvalues if...