TY - JOUR T1 - Existence of Multiple Positive Periodic Solutions for Second Order Differential Equations AU - Lü , Yue AU - Sun , Peng AU - Cai , Hua AU - Han , Peishan JO - Communications in Mathematical Research VL - 3 SP - 272 EP - 280 PY - 2021 DA - 2021/05 SN - 32 DO - http://doi.org/10.13447/j.1674-5647.2016.03.09 UR - https://global-sci.org/intro/article_detail/cmr/18899.html KW - positive periodic solution, multiplicity, differential equation, Krasnoselskii fixed point theorem. AB -

In this paper, we study the existence of multiple positive periodic solutions for the second order differential equation $$x''(t) + p(t)x' (t) + q(t)x(t) = f(t, x(t)).$$ By using Krasnoselskii fixed point theorem, we establish some criteria for the existence and multiple positive periodic solutions for this differential equation.