2025-08-12https://repository.covenantuniversity.edu.ng/handle/123456789/49889We study the periodic boundary value problem .X" (t) +ft. x (t)) .x· (t) + g(t, x (t - 1:)) + h(x(t)) - p(t) x(O)- x(2n) - x (O)-x (2n) -X' (0) - .x· (2n) = 0 under some resonant conditions on the asymptotic behaviour of x- 1 g(t, x) for I x I _... oo. The uniqueness of periodic solutions is also examined .application/pdfQA MathematicsArticle