We study the invariant tori of linear and non-linear countable systems of differential-difference equations defined on infinite-dimensional tori. Sufficient conditions for continuous dependence of such invariant tori on system's parameters are established.
[1] Pasyuk K.V. On the existence of Lipschitz invariant tori of countable linear systems of differential-difference equations containing an infinite number of deviations of the scalar argument // Scientific Bulletin of Chernivtsi University. Mathematics. - Chernivtsi: Ruta, 2008. - Issue 421. - P. 75-79.
[2] Teplinsky Yu.V., Pasyuk K.V. On the existence of invariant tori of countable linear systems of differential-difference equations / / Scientific Bulletin of Chernivtsi University. Mathematics. - Chernivtsi: Ruta, 2009. - Issue 454. - P. 108 - 115.
[3] Samoilenko A.M., Teplinsky Yu.V., Pasyuk K.V. On the existence of invariant tori of countable systems of differential equations defined on infinite-dimensional tori // Nonlinear oscillations. - 2009. - 12, № 3 - P. 347 - 367.
[4] Samoylenko A.M., Teplinsky Yu.V. Counting systems of differential equations. - Kyiv: Publishing House of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 1993. - 308 p.
- ACS Style
- Teplinsky, Y.V.; Pasyuk , K.V. On the continuous dependence of invariant tori of countable systems of differential and difference equations on parameters. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Teplinsky YV, Pasyuk KV. On the continuous dependence of invariant tori of countable systems of differential and difference equations on parameters. Bukovinian Mathematical Journal. 2018; 1(501).
- Chicago/Turabian Style
- Yuriy Volodymyrovych Teplinsky, K. V. Pasyuk . 2018. "On the continuous dependence of invariant tori of countable systems of differential and difference equations on parameters". Bukovinian Mathematical Journal. 1 no. 501.