Electronic Journal of Differential Equations, Vol. 2008(2008), No. 118, pp. 1-14. Title: Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations Authors: Yukun An (Nanjing Univ., Nanjing, China) Jing Feng (Nanjing Univ., Nanjing, China) Abstract: In this paper, by the variational method, we study the existence, nonexistence, and multiplicity of solutions of an Ambrosetti-Prodi type problem for a system of second and fourth order ordinary differential equations. Submitted March 17, 2008. Published August 25, 2008. Math Subject Classifications: 34B08, 34B15, 34L30, 47J30. Key Words: Differential system; Ambrosetti-Prodi type problem; subsolution; supersolution; variational method.