On the Existence of Periodic Solutions of a ‎Certain‎‎ Fifth-order Autonomous Differential Equations ‎via Topological Degree Theory

Document Type : Original Paper


Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran


In this paper, we study the existence of periodic solutions a certain

autonomous non-linear ordinary differential equations (ODE's) of‎ ‎fifth‎

order. Our method is based on the evaluation of Brouwer's degree

theory and making use of the homotopy invariance property of the

topological degree. Finally, we present some numerical results obtained by using the analytical methods.


Main Subjects

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