Periodic Solutions of Damped Duffing-type Equations with Singularity
نویسندگان
چکیده
We consider a second order equation of Duffing type. By applying Mawhin’s continuation theorem and a relationship between the periodic and the Dirichlet boundary value problems for second order ordinary differential equations, we prove that the given equation has at least one positive periodic solution when the singular forces exhibits certain some strong force condition near the origin and with some semilinear growth near infinity. Recent results in the literature are generalized and complemented.
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