Geodesic
On periodic solutions of non-autonomous second order Hamiltonian systems
Applications of Mathematics, Tome 55 (2010) no. 5, pp. 373-384

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The purpose of this paper is to study the existence of periodic solutions for the non-autonomous second order Hamiltonian system \begin {equation*} \begin {cases} \ddot u(t)=\nabla F(t,u(t)),\enspace \text {a.e.} \ t\in [0,T],\\ u(0)-u(T)=\dot u(0)-\dot u(T)=0. \end {cases} \end {equation*} Some new existence theorems are obtained by the least action principle.
DOI : 10.1007/s10492-010-0013-9
Classification : 34C25, 37J45, 47J30, 58E50
Keywords: periodic solution; critical point; non-autonomous second-order system; Sobolev inequality 
@article{10_1007_s10492_010_0013_9,
     author = {Zhang, Xingyong and Zhou, Yinggao},
     title = {On periodic solutions of non-autonomous second order {Hamiltonian} systems},
     journal = {Applications of Mathematics},
     pages = {373--384},
     publisher = {mathdoc},
     volume = {55},
     number = {5},
     year = {2010},
     doi = {10.1007/s10492-010-0013-9},
     mrnumber = {2737718},
     zbl = {1224.34126},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0013-9/}
}
TY  - JOUR
AU  - Zhang, Xingyong
AU  - Zhou, Yinggao
TI  - On periodic solutions of non-autonomous second order Hamiltonian systems
JO  - Applications of Mathematics
PY  - 2010
SP  - 373
EP  - 384
VL  - 55
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0013-9/
DO  - 10.1007/s10492-010-0013-9
LA  - en
ID  - 10_1007_s10492_010_0013_9
ER  - 
%0 Journal Article
%A Zhang, Xingyong
%A Zhou, Yinggao
%T On periodic solutions of non-autonomous second order Hamiltonian systems
%J Applications of Mathematics
%D 2010
%P 373-384
%V 55
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0013-9/
%R 10.1007/s10492-010-0013-9
%G en
%F 10_1007_s10492_010_0013_9
Zhang, Xingyong; Zhou, Yinggao. On periodic solutions of non-autonomous second order Hamiltonian systems. Applications of Mathematics, Tome 55 (2010) no. 5, pp. 373-384. doi: 10.1007/s10492-010-0013-9

Cité par Sources :