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

Authors

  • S.M. Bak Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, Vinnytsia, Ukraine

Keywords:

oscillator system, periodic solutions, mountain pass theorem
Published online: 2012-12-27

Abstract

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 such solutions.

How to Cite
(1)
Bak, S. Existence of the Time Periodic Solutions of System of Oscillators on $2D$-Lattice. Carpathian Math. Publ. 2012, 4, 175-196.