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.
@article{urn:eudml:doc:43939, title = {A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {7}, year = {1994}, pages = {179-193}, zbl = {0804.35073}, mrnumber = {MR1277336}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43939} }
Sánchez, L. A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.. Revista Matemática de la Universidad Complutense de Madrid, Tome 7 (1994) pp. 179-193. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43939/