2025-08-12https://repository.covenantuniversity.edu.ng/handle/123456789/49890We study the periodic boundary-value problem z(iul(t) + f (x )x{t) + OO:{t) + g(t , :i:(t - -r)) + dx = p(t) z {O) = z ( 2 . r ) , :i:(O) = :.i:(2.r), %(0) = %(2.r), : i i (O) = ·x(2.r) , Under some resonant conditions on t he asymptotic behaviour of the ratio g(t, y ) /(by ) for IYI -. oo. Uniqueness of periodic solutions is al5o examined.application/pdfQA MathematicsArticle