Abstract and Applied Analysis
Volume 2003 (2003), Issue 18, Pages 1037-1045
doi:10.1155/S1085337503305044

Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems

Abstract

We establish a multiplicity result to an eigenvalue problem related to second-order Hamiltonian systems. Under new assumptions, we prove the existence of an open interval of positive eigenvalues in which the problem admits three distinct periodic solutions.