Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity

Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory. Mathematics Subject Classification (2000): 34C25, 37J45, 58E50.

Saved in:
Bibliographic Details
Published inBoundary value problems Vol. 2011; no. 1; pp. 1 - 14
Main Authors Wang, Zhiyong, Zhang, Jihui
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2011
Hindawi Limited
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Boundary value problems
Classification
Control function
Critical point
Difference and Functional Equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Minimax methods
Minimax technique
Nonlinearity
Ordinary Differential Equations
Partial Differential Equations
Periodic solutions
The least action principle
The least action principle
Control function
Periodic solutions
Minimax methods
Online AccessGet full text
ISSN1687-2770
1687-2762
1687-2770
DOI10.1186/1687-2770-2011-23

Cover

More Information
Summary:Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory. Mathematics Subject Classification (2000): 34C25, 37J45, 58E50.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ObjectType-Article-1
ObjectType-Feature-2
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/1687-2770-2011-23