Boundedness of solutions for a class of oscillating potentials without the twist condition

Authors
Wang, Zhi Guo Wang, Yi Qian
Citation
Wang, Zhi Guo et Wang, Yi Qian, Boundedness of solutions for a class of oscillating potentials without the twist condition, Acta mathematica Sinica. English series (Print) , 26(12), 2010, pp. 2387-2398
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
12
Year of publication
2010
Pages
2387 - 2398
Database
ACNP
SICI code
Abstract
In this paper, we prove that the second order differential equation d2xdt2+x2n+1+f(x)+p(t)=0 with p(t + 1) = p(t), f(x + T) = f(x) smooth and f(x) > 0, possesses Lagrangian stability despite of the fact that the monotone twist condition is violated