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

It is considered the system of differential equations that describes the dynamics of an infinite system of oscillators on 2D-lattice. Results on existence of the time periodic solutions are obtained. By means of the mountain pass theorem, it is obtained sufficient conditions for the existence of suc...

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Bibliographic Details
Main Author: S. M. Bak
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/112