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$%L. Sánchez, A note on nontrivial periodic solutions of dynamical systems with subquadratic potential, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 1, 179–193.%$

A Note on Nontrivial Periodic Solutions of Dynamical Systems with Subquadratic Potential
Luis SÁNCHEZ
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
ABSTRACT

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.