2017
Том 69
№ 9

All Issues

Lipschitzian invariant tori of indefinite monotone system

Lagoda V. A., Parasyuk I. O., Samoilenko A. M.

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Abstract

We consider a nonlinear system in the direct product of a torus and a Euclidean space. For this system, under the conditions of indefinite coercivity and indefinite monotonicity, we establish the existence of a Lipschitzian invariant section.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 3, pp 408-432.

Citation Example: Lagoda V. A., Parasyuk I. O., Samoilenko A. M. Lipschitzian invariant tori of indefinite monotone system // Ukr. Mat. Zh. - 2012. - 64, № 3. - pp. 363-383.

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