Morteza Bayata, Mehdi Asadib
aDepartment of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
bDepartment of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
In this paper, we give some sufficient conditions for the existence of periodic solutions for some autonomous nonlinear ordinary differential equations of order n. The proposed method is based on the use of Brouwer’s degree and especially the homotopy invariant of the topological degree.
Keywords: Periodic solution; Autonomous differential equation; Homotopy invariant; Topological degree.
Bayat, M., & Asadi, M. (2023). Periodic solutions of certain higher order autonomous differential equations via topological degree theory. Advances in the Theory of Nonlinear Analysis and Its Application, 7(5), 193–205.