论文标题
不确定和排斥奇点的二阶微分方程
Second-order differential equation with indefinite and repulsive singularities
论文作者
论文摘要
本文涉及不确定和排斥性奇点的二阶方程。这是第一次同时研究包含无限和排斥奇异性的微分方程。获得了一组充分的条件，以实现正周期性解决方案的存在。本文的理论基础是绿色功能和固定点定理的阳性。我们的结果改善并扩大了先前文献的结果。最后，给出了三个示例及其数值模拟（定期解决方案的相图和时间表），以显示我们结论的有效性。
This paper concerns a second-order differential equation with indefinite and repulsive singularities. It is the first time to study differential equation containing both indefinite and repulsive singularities simultaneously. A set of sufficient conditions are obtained for the existence of positive periodic solutions. The theoretical underpinnings of this paper are the positivity of Green's function and fixed point theorem in cones. Our results improve and extend the results in previous literatures. Finally, three examples and their numerical simulations (phase diagrams and time diagrams of periodic solutions) are given to show the effectiveness of our conclusions.
