A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.

L. Sánchez

Revista Matemática de la Universidad Complutense de Madrid (1994)

  • Volume: 7, Issue: 1, page 179-193
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Sánchez, L.. "A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.." Revista Matemática de la Universidad Complutense de Madrid 7.1 (1994): 179-193. <http://eudml.org/doc/43939>.

@article{Sánchez1994,
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.},
author = {Sánchez, L.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Sistemas dinámicos; Ecuaciones en derivadas parciales no lineales; Sistema hamiltoniano; Variedades matemáticas; asymptotic behaviour of generalized solutions},
language = {eng},
number = {1},
pages = {179-193},
title = {A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.},
url = {http://eudml.org/doc/43939},
volume = {7},
year = {1994},
}

TY - JOUR
AU - Sánchez, L.
TI - A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1994
VL - 7
IS - 1
SP - 179
EP - 193
AB - 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.
LA - eng
KW - Sistemas dinámicos; Ecuaciones en derivadas parciales no lineales; Sistema hamiltoniano; Variedades matemáticas; asymptotic behaviour of generalized solutions
UR - http://eudml.org/doc/43939
ER -

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