Bak, SergiyKovtonyuk, Galyna2021-01-262021-01-262021Bak S., Kovtonyuk G. On well-posedness of the Cauchy problem for system of oscillators in weighted spaces. Abstracts of the II International science conference on science and practical technologies (Luxembourg, 26.01.2021-29.01.2021). Luxembourg, 2021. P. 439-442.https://library.vspu.net/items/acf3a9fd-165b-4d9b-ad1d-65f5a5fea692We consider an infinite system of ordinary differential equations that describes the dynamics of an infinite system of linearly coupled nonlinear oscillators on a two dimensional integer-valued lattice. We prove results on well-posedness of the Cauchy problem in a wide class of weighted $l^2$-spaces.infinite systems of differential equations, Hamiltonian systems, nonlinear oscillators, Cauchy problem, weighted spacesArticle