Periodic solutions for second order Hamiltonian systems

Qiongfen Zhang; X. H. Tang

Applications of Mathematics (2012)

  • Volume: 57, Issue: 4, page 407-425
  • ISSN: 0862-7940

Abstract

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By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.

How to cite

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Zhang, Qiongfen, and Tang, X. H.. "Periodic solutions for second order Hamiltonian systems." Applications of Mathematics 57.4 (2012): 407-425. <http://eudml.org/doc/247076>.

@article{Zhang2012,
abstract = {By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.},
author = {Zhang, Qiongfen, Tang, X. H.},
journal = {Applications of Mathematics},
keywords = {periodic solutions; minimax methods; second order Hamiltonian systems; periodic solution; minimax method; second-order Hamiltonian system},
language = {eng},
number = {4},
pages = {407-425},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic solutions for second order Hamiltonian systems},
url = {http://eudml.org/doc/247076},
volume = {57},
year = {2012},
}

TY - JOUR
AU - Zhang, Qiongfen
AU - Tang, X. H.
TI - Periodic solutions for second order Hamiltonian systems
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 4
SP - 407
EP - 425
AB - By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.
LA - eng
KW - periodic solutions; minimax methods; second order Hamiltonian systems; periodic solution; minimax method; second-order Hamiltonian system
UR - http://eudml.org/doc/247076
ER -

References

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  14. Zhao, F. K., Wu, X., 10.1016/j.jmaa.2004.01.041, J. Math. Anal. Appl. 296 (2004), 422-434. (2004) MR2075174DOI10.1016/j.jmaa.2004.01.041
  15. Zhao, F. K., Wu, X., Existence and multiplicity of periodic solutions for non-autonomous second-order systems with linear nonlinearity, Nonlinear Anal., Theory Methods Appl. 60 (2005), 325-335. (2005) MR2101882
  16. Tang, X. H., Meng, Q., Solutions of a second-order Hamiltonian system with periodic boundary conditions, Nonlinear Anal., Real World Appl. 11 (2010), 3722-3733. (2010) Zbl1223.34024MR2683825
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