Remarks on Barbashin-Ezeilo problem on third-order nonlinear differential equations
The problem of existence of periodic solutions of a special nonlinear scalar differential equation of third order is considered. This differential equation has its predecessors investigated by Barbashin (1967) and \textit{J. O. C. Ezeilo} [Proc. Camb. Philos. Soc. 63, 735--742 (1967; Zbl 0163.10507)]. Here, frequency domain criteria are used and corresponding conditions for the existence of periodic solutions are established.
third-order nonlinear differential equations
scientific article; zbMATH DE number 5017403