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A Note on the Periodic Solutions for a Class of Third Order Differential Equations

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The aim of the present work is to study the necessary and sufficient conditions for the existence of periodic solutions for a class of third order differential equations by using… Click to show full abstract

The aim of the present work is to study the necessary and sufficient conditions for the existence of periodic solutions for a class of third order differential equations by using the averaging theory. Moreover, we use the symmetry of the Monodromy matrix to study the stability of these solutions.

Keywords: periodic solutions; solutions class; third order; differential equations; class third; order differential

Journal Title: Symmetry
Year Published: 2021

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