Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/infinitely-many-periodic-solutions-for-a-class-of-second-order-CSxo7607bk
References (12)
-
K. Fan (1953)
Minimax Theorems.Proceedings of the National Academy of Sciences of the United States of America, 39 1
-
J. Mawhin, M. Willem (1989)
Critical Point Theory and Hamiltonian Systems -
E. Silva (1995)
Subharmonic Solutions for Subquadratic Hamiltonian SystemsJournal of Differential Equations, 115
-
Han Zhi-qing (2000)
2π-Periodic Solutions to Ordinary Differential Systems at ResonanceActa Mathematica Sinica
-
F. Meng, Fubao Zhang (2008)
Periodic solutions for some second order systemsNonlinear Analysis-theory Methods & Applications, 68
-
G. Fei (2002)
On periodic solutions of superquadratic Hamiltonian systemsElectronic Journal of Differential Equations, 2002
-
T. Bartsch, M. Willem (1995)
On An Elliptic Equation With Concave and Convex Nonlinearities, 123
-
Fukun Zhao, Jin Chen, Minbo Yang (2009)
A periodic solution for a second-order asymptotically linear Hamiltonian systemNonlinear Analysis-theory Methods & Applications, 70
-
W. Zou, Shujie Li (2002)
Infinitely many solutions for Hamiltonian systemsJournal of Differential Equations, 186
-
Yanheng Ding, Cheng Lee (2000)
Periodic Solutions of Hamiltonian SystemsSIAM J. Math. Anal., 32
-
P.H. Rabinowitz (1978)
Periodic solutions of Hamiltonian systemsComm. Pure Appl. Math., 31
-
Chunlei Tang (1998)
Periodic solutions for nonautonomous second order systems with sublinear nonlinearity, 126
- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-016-0552-2
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we study the existence of infinitely many periodic solutions for second-order Hamiltonian systems $\left\{ {\begin{array}{*{20}c} {\ddot u(t) + A(t)u(t) + \nabla F(t,u(t)) = 0,} \\ {u(0) - u(T) = \dot u(0) - \dot u(T) = 0,} \\ \end{array} } \right. $ , where F(t, u) is even in u, and ∇F(t, u) is of sublinear growth at infinity and satisfies the Ahmad-Lazer-Paul condition.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Apr 5, 2016