Boundedness of Solutions for a Class of Second-Order Periodic Systems

الملخص EN

In this paper we study the following second-order periodic system: x′′+V′(x)+p(x,t)=0, where V(x) has a singularity.

Under some assumptions on the V(x) and p(x,t) by Ortega’ small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.