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/