Existence of infinitely many periodic solutions for second-order nonautonomous Hamiltonian systems
Electronic journal of differential equations, Tome 2015 (2015)
By using minimax methods and critical point theory, we obtain infinitely many periodic solutions for a second-order nonautonomous Hamiltonian systems, when the gradient of potential energy does not exceed linear growth.
Classification :
34C25, 58E50
Keywords: periodic solutions, minimax methods, linear, Hamiltonian system, critical point
Keywords: periodic solutions, minimax methods, linear, Hamiltonian system, critical point
@article{EJDE_2015__2015__a75,
author = {Guan, Wen and Wang, Da-Bin},
title = {Existence of infinitely many periodic solutions for second-order nonautonomous {Hamiltonian} systems},
journal = {Electronic journal of differential equations},
year = {2015},
volume = {2015},
zbl = {1318.34058},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a75/}
}
TY - JOUR AU - Guan, Wen AU - Wang, Da-Bin TI - Existence of infinitely many periodic solutions for second-order nonautonomous Hamiltonian systems JO - Electronic journal of differential equations PY - 2015 VL - 2015 UR - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a75/ LA - en ID - EJDE_2015__2015__a75 ER -
%0 Journal Article %A Guan, Wen %A Wang, Da-Bin %T Existence of infinitely many periodic solutions for second-order nonautonomous Hamiltonian systems %J Electronic journal of differential equations %D 2015 %V 2015 %U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a75/ %G en %F EJDE_2015__2015__a75
Guan, Wen; Wang, Da-Bin. Existence of infinitely many periodic solutions for second-order nonautonomous Hamiltonian systems. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a75/