Subharmonic solutions for nonautonomous second-order Hamiltonian systems

In this article, we prove the existence of subharmonic solutions for the non-autonomous second-order Hamiltonian system $ddot{u}(t)+V'(t,u(t))=0$. Also we study the minimality of their periods, when the nonlinearity $V'(t,x)$ grows faster than $|x|^{alpha}$, $alphain[0,1[$ at infinity...

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Bibliographic Details
Main Author: Mohsen Timoumi
Format: Article
Language:English
Published: Texas State University 2012-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/178/abstr.html