Electronic Journal of Differential Equations, Vol. 2010(2010), No. 100, pp. 1-9. Title: Periodic solutions for a second-order neutral differential equation with variable parameter and multiple deviating arguments Authors: Bo Du (Huaiyin Normal Univ., Jiangsu, China) Xiaojing Wang (Huaiyin Normal Univ., Jiangsu, China) Abstract: By employing the continuation theorem of coincidence degree theory developed by Mawhin, we obtain periodic solution for a class of neutral differential equation with variable parameter and multiple deviating arguments. Submitted April 12, 2010. Published July 21, 2010. Math Subject Classifications: 34B15, 34B13. Key Words: Mawhin's continuation theorem; periodic solution; neutral; variable parameter.