On the dynamical equations of a system of linearly coupled nonlinear oscillators
We consider a system of differential equations that describes the dynamics of an infinite chain of linearly coupled nonlinear oscillators. Some results concerning the existence and uniqueness of global solutions of the Cauchy problem are obtained.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 6, pp 815-822.
Citation Example: Bak S. N., Pankov A. A. On the dynamical equations of a system of linearly coupled nonlinear oscillators // Ukr. Mat. Zh. - 2006. - 58, № 6. - pp. 723–729.