Existence of the time periodic solutions of system of oscillators on 2D--lattice

It is considered the system of differential equations thatdescribes the dynamics of an infinite system of oscillators on2D--lattice. Results on existence of the time periodic solutionsare obtained. By means of the mountain pass theorem, it isobtained sufficient conditions for the existence of suchso...

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Bibliographic Details
Main Author: Bak S.M.
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2012-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/112/102