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This paper is concerned with the following second-order nonlinear differential equation: By applying Mawhin's continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence and uniqueness of periodic solutions for the above equation. Some recent results are known as the special cases of ours.doi:10.1186/1029-242x-2013-115 fatcat:2fyvpaaowretpio72y4duydqsi