TY - JOUR T1 - Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter AU - Mahmoud , A.M. AU - Farghaly , E.S. JO - Annals of Applied Mathematics VL - 3 SP - 285 EP - 301 PY - 2022 DA - 2022/06 SN - 34 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20578.html KW - existence of periodic solution, third-order neutral functional differential equation, variable parameter, Mawhin’s continuation theorem, coincidence degree. AB -

In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided.