On well-posedness of the Cauchy problem for system of oscillators in weighted spaces

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Bak, Sergiy
Kovtonyuk, Galyna

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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.

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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.

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