On well-posedness of the Cauchy problem for system of oscillators in weighted spaces
dc.contributor.author | Bak, Sergiy | |
dc.contributor.author | Kovtonyuk, Galyna | |
dc.date.accessioned | 2021-01-26T18:11:33Z | |
dc.date.available | 2021-01-26T18:11:33Z | |
dc.date.issued | 2021 | |
dc.description.abstract | We 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. | uk_UA |
dc.identifier.citation | Bak 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. | uk_UA |
dc.identifier.uri | https://dspace.vspu.edu.ua/items/acf3a9fd-165b-4d9b-ad1d-65f5a5fea692 | |
dc.subject | infinite systems of differential equations, Hamiltonian systems, nonlinear oscillators, Cauchy problem, weighted spaces | uk_UA |
dc.title | On well-posedness of the Cauchy problem for system of oscillators in weighted spaces | uk_UA |
dc.type | Article | uk_UA |