Existence of periodic solutions for sub-linear first-order Hamiltonian systems

We prove the existence solutions for the sub-linear first-order Hamiltonian system $J\dot{u}(t)+Au(t)+\nabla H(t,u(t))=h(t)$ by using the least action principle and a version of the Saddle Point Theorem.

Bibliographic Details
Main Author: Mohsen Timoumi
Format: Article
Language:English
Published: Texas State University 2015-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/134/abstr.html