
The equation \(\ddot x+g(x)=p(t)\) is considered. The aim of the paper is to give conditions for the existence of periodic solutions in the case when the function \(g(x)\) possesses a singularity at the origin. Such conditions are found. An example is given.
Duffing equation, Singularity, Periodic solution, Applied Mathematics, periodic solution, Periodic solutions to ordinary differential equations, singularity, Analysis
Duffing equation, Singularity, Periodic solution, Applied Mathematics, periodic solution, Periodic solutions to ordinary differential equations, singularity, Analysis
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