Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621527 | Journal of Mathematical Analysis and Applications | 2008 | 9 Pages |
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.
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