一类具阻尼的二阶奇异微分方程周期解的存在性

Existence of Periodic Solutions of a Second-Order Singular Damped Differential Equation

奇异微分方程在天文学、物理学、生物学等学科中有着广泛的应用,本文应用变分方法,证明了二阶阻尼奇异微分方程至少有一个非平凡周期解的存在性结果。

Singular differential equations have important applications in astronomy, physics, biology and many other applied sciences. In this paper, by using variational methods, we prove the existence of at least a non-trivial periodic solution for the second-order singular damped differential equation .