具有奇异性Duffing型p-Laplace方程的周期解

Periodic solutions of Duffing type p−Laplace equations with singularities

本文研究Duffing型p-Laplace方程(Φ_(p)(x′))′+g (x)=p(t)周期解的存在性。当g具有奇异性且满足单边非共振条件时,应用连续性引理和相平面分析的方法,证明了该方程周期解的存在性。

This paper studies the existence of periodic solutions of Duffing type p−Laplace equations(ϕ_(p)(x′))′+g(x)=p(t).When g has a singularity and satisfies one-sided non-resonant condition,we prove the existence of periodic solutions by using the phase plane analysis method and the continuation lemma.