Bak, SergiyKovtonyuk, Galyna2021-06-152021-06-152021Bak S., Kovtonyuk G. On well-posedness of the Cauchy problem for system of oscillators in weighted sequence spaces. Abstracts of III International Scientific and Practical Internet Conference «Mathematics and Informatics in Higher Education: Challenges of Modernity», dedicated to the memory of Professors Pankov O. A. and Trokhymenko V. S. (May 20-21, 2021, Vinnytsia, Ukraine) [Electronic network scientific publication]: book of abstracts. Vinnytsia, 2021. P. 27-30.https://library.vspu.net/items/ab6c931a-efc2-43e0-b0f0-53e0aa911ba8We 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 obtain the results on existence of a unique global solutions of the Cauchy problem in a wide class of weighted sequence spaces.ennonlinear oscillators, 2D-lattice, Cauchy problem, well-posedness, weighted sequence spacesArticle