Article ID Journal Published Year Pages File Type
4621527 Journal of Mathematical Analysis and Applications 2008 9 Pages PDF
Abstract

In this paper, by using a priori bounds, topological degree and limiting arguments, we study the existence of periodic solutions of a class of one-dimensional chain of particles periodically perturbed and with nearest neighbor interaction between particles. We study the necessary and sufficient conditions for the existence of periodic solutions in two cases when the number of particles is finite and infinite and obtain different results.

Related Topics
Physical Sciences and Engineering Mathematics Analysis