Full paper in PDF:
$%L. Sánchez, A note on nontrivial periodic solutions of dynamical systems with subquadratic potential, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 1, 179193.%$

A Note on Nontrivial Periodic Solutions of Dynamical Systems with Subquadratic Potential
Faculdade de Ciencias
Universidade de Lisboa
Departamento de Matematica
Rua Ernesto Vasconcelos, Bloco C1
1700 Lisboa Portugal

Received: September 8, 1992
Revised: June 8, 1993

We obtain non-constant periodic solutions for a class of second-order autonomous dynamic systems whose potential is subquadratic at infinity. We give a theorem on conjugate points for convex potentials.

1991 Mathematics Subject Classification: 34C25, 58F22.