Journal of Inequalities and Applications 
Volume 2 (1998), Issue 4, Pages 307-323
doi:10.1155/S1025583498000204

A multiplicity result for periodic solutions of higher order ordinary differential equations via the method of upper and lower solutions

Yong-Hoon Lee

Department of Mathematics, Pusan National University, Pusan 609-735, Korea

Received 2 September 1997; Revised 28 October 1997

Abstract

We prove a multiplicity result of Ambrosetti–Prodi type problems of higher order. Proofs are based on upper and lower solutions method for higher order periodic boundary value problems and coincidence degree arguments.