New periodic solutions with a prescribed energy for a class of Hamiltonian systems

Authors :: Shiqing Zhang
Ying Lv
Fengying Li
Source :: Boundary Value Problems. 2017
Publication Year :: 2017
Publisher :: Springer Science and Business Media LLC, 2017.
Abstract: We consider a class of second order Hamiltonian systems with a $C^{2}$ potential function. The existence of new periodic solutions with a prescribed energy is established by the use of constrained variational methods.

Subjects :: Class (set theory)
Algebra and Number Theory
Partial differential equation
010102 general mathematics
Mathematical analysis
Order (ring theory)
Function (mathematics)
01 natural sciences
Hamiltonian system
010101 applied mathematics
Ordinary differential equation
0101 mathematics
Analysis
Energy (signal processing)
Mathematics

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