Geodesic
Existence and multiplicity of periodic solutions generated by impulses for second-order Hamiltonian system
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we study the existence of non-zero periodic solutions for Hamiltonian systems with impulsive conditions. By using a variational method and a variant fountain theorem, we obtain new criteria to guarantee that the system has at least one non-zero periodic solution or infinitely many non-zero periodic solutions. However, without impulses, there is no non-zero periodic solution for the system under our conditions.
Classification : 34K50, 37K05
Keywords: impulsive differential equations, critical point theory, periodic solution, variant Fountain theorems 
@article{EJDE_2014__2014__a12,
     author = {Zhang, Dan and Wu, Qinghua and Dai, Binxiang},
     title = {Existence and multiplicity of periodic solutions generated by impulses for second-order {Hamiltonian} system},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a12/}
}
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Zhang, Dan; Wu, Qinghua; Dai, Binxiang. Existence and multiplicity of periodic solutions generated by impulses for second-order Hamiltonian system. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a12/